PLEASE HELP QUICK BC I don’t know



Triangle ABC is an isosceles triangle.
Form and solve an equation to find the value of t.
B
25 cm
A
4t - 7 cm
+
2t + 11 cm
C

PLEASE HELP QUICK BC I Dont KnowTriangle ABC Is An Isosceles Triangle.Form And Solve An Equation To Find

Answers

Answer 1

Answer:

The value of t that satisfies the equation and makes triangle ABC an isosceles triangle is 9 cm.

Step-by-step explanation:

Since triangle ABC is an isosceles triangle, we know that the lengths of AB and AC are equal. Using the lengths given in the diagram, we can set up an equation:

AB = AC

4t - 7 = 2t + 11

Now we can solve for t:

4t - 7 = 2t + 11

2t = 18

t = 9

Therefore, the value of t that satisfies the equation and makes triangle ABC an isosceles triangle is 9 cm.

Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]


Related Questions

The rectangle shown has a perimeter of 180 cm and the given area. Its length is 5 more than four times its width. Write and solve a system of equations to find the dimesions of the rectangle.

Answers

The dimensions of the rectangle are, length = 73 cm and width = 17 cm.

What do system of equations depict?

Finding the values of the variables employed in a system of equations entails solving the set of equations. By keeping the equations balanced on both sides, we compute the values of the unknown variables. Finding the value of the variable that makes the condition of all the provided equations true is the primary goal when solving an equation system. A given system of equations may have a variety of solutions.

Let us suppose the width of the rectangle = w.

Given that, length is 5 more than four times its width.

Thus,

l = 5 + 4w

Now, the perimeter of the rectangle is given as:

P = 2(l + w)

Substitute the value of P = 180:

180 = 2l + 2w

The system of equations is:

l = 5 + 4w

180 = 2l + 2w

Substitute the value of l from equation 1 into equation 2:

180 = 2(5 + 4w) + 2w

180 = 10 + 8w + 2w

180 - 10 = 10w

170 = 10w

w = 17

Substitute the value of w = 17 in the first equation:

l = 5 + 4w

l = 5 + 4(17)

l = 73

Hence, the dimensions of the rectangle are, length = 73 cm and width = 17 cm.

Learn more about system of equations here:

https://brainly.com/question/30065304

#SPJ9

You have the following data set: 10, 14, 12, 16, 13, 14, 16, 10, 12, and 10. For the given data set, which values would be included on the relative frequency for a value of 10?

Answers

The relative frequency οf value οf 10 is 0.3.

What is relative frequency?

The relative frequency is calculated as the prοduct οf the number οf times a given value οf the data appears in the set οf all οutcοmes divided by the tοtal number οf οutcοmes.

Here the given data set is 10, 14, 12, 16, 13, 14, 16, 10, 12, and 10.

Fοr value οf 10, the number οf times 10 οccured is 3 and tοtal number οf data set is 10.

Relative frequency,

=> Number οf times οf value οf 10/ Tοtal number οf data set

=> 3/10

=> 0.3.

Hence the relative frequency οf value οf 10 is 0.3.

To learn more about relative frequency refer the below link

https://brainly.com/question/3857836

#SPJ1

Answer:

Step-by-step explanation:

How does this quote illustrate some of what Elie learned from Moishe the Beadle?

Moishe taught him the real answers lie in oneself. Elie sees the death of the boy as the death of the God within.

Moishe taught him that it was God's anger that resulted in the death of men. The boy represents God's wrath.

Moishe believed that God always had a plan. Hanging the boy must be part of his divine plan, which no man could understand.

Moishe taught that God required sacrifice. Elie believes the boy to be a sacrifice to God.

Answers

Answer:

The quote "Elie sees the death of the boy as the death of the God within" illustrates that Elie has learned from Moishe the Beadle that one's spirituality and relationship with God is a personal experience that resides within oneself. Moishe's teachings suggest that God is not necessarily an external force that determines the fate of individuals or the world, but rather a presence within oneself that must be nurtured and maintained. Elie's interpretation of the boy's death as the death of God within himself shows that he has internalized this lesson and is searching for meaning and understanding within his own experiences. This reflects Moishe's teachings that the "real answers lie in oneself," rather than in external sources of authority or dogma.

Step-by-step explanation:

NO LINKS!!!! URGENT HELP PLEASE!!!

Please help find the value of each variable for #8 for Special Triangle: 30-60-90

Answers

Answer:

[tex]x = \frac{40\sqrt{3}}{3}\\\\y = \frac{20\sqrt{3}}{3}[/tex]

===================================================

Explanation:

The short leg is y because it is opposite the 30 degree angle.

The connection between the long leg and short leg is through this formula

[tex]\text{long leg} = (\text{short leg})*\sqrt{3}[/tex]

which applies to 30-60-90 triangles only.

Let's use that template to solve for y.

[tex]\text{long leg} = (\text{short leg})*\sqrt{3}\\\\20 = y\sqrt{3}\\\\y = \frac{20}{\sqrt{3}}\\\\y = \frac{20\sqrt{3}}{\sqrt{3}\sqrt{3}}\\\\y = \frac{20\sqrt{3}}{\sqrt{3*3}}\\\\y = \frac{20\sqrt{3}}{\sqrt{9}}\\\\y = \frac{20\sqrt{3}}{3}\\\\[/tex]

Then to find the hypotenuse x, we double the short leg.

[tex]x = 2y\\\\x = 2*\frac{20\sqrt{3}}{3}\\\\x = \frac{2*20\sqrt{3}}{3}\\\\x = \frac{40\sqrt{3}}{3}\\\\[/tex]

This formula works for 30-60-90 triangles only.

-----------

Side notes:

[tex]\frac{20\sqrt{3}}{3} \approx 11.54701\\\\\frac{40\sqrt{3}}{3} \approx 23.09401\\\\[/tex]

Answer:

x = 23.09 (2 d.p.)

y = 11.55 (2 d.p.)

Step-by-step explanation:

The interior angles of a triangle sum to 180°.  Therefore, from inspection of the given diagram, the interior angles of the given right triangle are:

30°, 60° and 90°.

This means the triangle is a special right triangle and that the 30-60-90 theorem can be applied to quickly find the measures of the missing sides.

What is a 30-60-90 triangle?

A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio  1 : √3 : 2.

Therefore, the formula for the ratio of the sides is b : b√3 : 2b where:

b = the shortest side opposite the 30° angle.b√3 = the side opposite the 60° angle.2b = the longest side (hypotenuse) opposite the right angle.

From inspection of the given triangle, the side opposite the 60° angle is 20.  Therefore:

[tex]\implies b\sqrt{3}=20[/tex]

[tex]\implies b=\dfrac{20}{\sqrt{3}}[/tex]

[tex]\implies b=\dfrac{20\sqrt{3}}{3}[/tex]

Substitute the found value of b into the expressions for the other two sides to find the values of x and y.

x is the side opposite the right angle. Therefore:

[tex]\implies x=2b[/tex]

[tex]\implies x=2\cdot \dfrac{20\sqrt{3}}{3}[/tex]

[tex]\implies x=\dfrac{40\sqrt{3}}{3}[/tex]

[tex]\implies x=23.09\; \sf units\;(2\;d.p.)[/tex]

y is the side opposite the 30° angle. Therefore:

[tex]\implies y=b[/tex]

[tex]\implies y=\dfrac{20\sqrt{3}}{3}[/tex]

[tex]\implies y=11.55\; \sf units\;(2\;d.p.)[/tex]

Solutionx = 23.09 (2 d.p.)y = 11.55 (2 d.p.)

Find the missing angle measures (just write the number and not the word or symbol for degrees):

Angle a

Answers

The values of angles A , B, C are 140 , 40 , 140 respectively if other angle

is 40 degrees.

What are parallel lines ?

Parallel lines can be defined as lines which are equidistant from each other and which never intersect .

from the given figure ,

the angle b and 40 degrees are vertically opposite angles ,

vertically opposite angles are always equal

so,

b = 40

and sum of angles A and 40 is 180 degrees

so,

A + 40 = 180

A = 180 - 40

A = 140

And here similarly ,

angles A and C are vertically opposite angles ,

so,

C = 140 degrees.

Therefore, The values of angles A , B, C are 140 , 40 , 140 respectively  if other angle is 40 degrees.

To learn more about Parallel lines from given link.

https://brainly.com/question/16701300

#SPJ1

100 POINTS YALL BETTER ANSWER ISTG
PICTURE BELOW ZOOM IN

Answers

The answer of this question is in every 5 hour 6 m water height increase in tank. So we have to learn about proportional.

What is Proportional?

Proportional is the right amount, size , degree or quantity compared with something else. We can simply say that it is comparison between one object or thing with another object or thing.

Their are two types of proportional properties:

a. Directly Proportional, In this when amount , size or degree of any object increases than the amount ,size, or degree of another object are also increases with same ratio.

b. Indirectly Proportional, In this when amount , size or degree of any object increases than the amount , size or degree of another object is decreases in same ratio.

Let Solve this question, in this the first property used.

[tex]\frac{1}{4} = \frac{3}{10} , we\ get\ 5 = 6[/tex]

[tex]\frac{1}{2} = \frac{3}{5}\ we\ get\ 5 = 6[/tex]

[tex]\frac{3}{4} =\frac{9}{10} \ we\ get\ 5 =6[/tex]

So, In every 5 hour 6 m water height increase in tank.

To learn more about Proportional, visit:

https://brainly.com/question/870035

#SPJ1

5 questions 15 points please help with these math questions

Answers

From the given scatter plot,  point L is an outlier. The association is negative linear association.  The line is not the best fit accurate. Graph shows a negative linear association. As the number of weeks increases, the number of tickets sold decreases

What is scatter plot?

A scatter plot is a type of data visualization that displays the relationship between two numerical variables. It is a graph with points plotted on it that represent the values of two different variables.

1. In a scatter plot, an outlier is a data point that lies far away from the other data points in the plot, and is not in line with the overall pattern or trend that the other data points display.

2. The scatter plot for this data is likely to show a negative linear association between the number of people in a group and the zoo ticket price per person. As the number of people in a group increases, the zoo ticket price per person decreases.

The rate of change of Zoo Ticket Price with respect to the the number of persons:

[tex]m=14.50-1500/2-1=-0.5[/tex]

3. No because the line should touch every point.  When we draw a line passing through the origin, it passes through the data points (2,3), (4,3), and (4,5), but it does not pass through the other data points (6,5), (6,6), and (8,7).

This indicates that the line of best fit may not accurately represent the overall trend of the data.

4. The given data points are (1,5), (2,4), (3,3), (4,2), (5,1), and (6,0). When we plot these points on a graph with x-axis representing variable x and y-axis representing variable y, we get a downward sloping straight line passing through all the points.

This pattern suggests a negative linear association between the variables x and y. As the value of x increases, the value of y decreases at a constant rate.

Therefore, the graph shows a negative linear association between x and y.

5. The answer is option (a) "As the number of weeks increases, the number of tickets sold decreases".

As per the given data points and the line passing through (1,100) and (6,35), we can observe that the number of tickets sold decreases as the number of weeks a movie has been in theaters increases. Therefore, the statement "As the number of weeks increases, the number of tickets sold decreases" best describes the relationship between the number of weeks a movie has been in theaters and the number of tickets sold.

To learn more about scatter plot visit:

https://brainly.com/question/6592115

#SPJ1

What is the value of c in the equation below?
2^-4•2²=a=c


O-4

O-2

O1
64

O 714

Answers

Answer:

The value of "c" is 4.

Here's the solution:

2^-4 • 2² = a = c

2^-4 = 1/2^4 = 1/16

2² = 4

a = c = 1/16 • 4 = 1/4

Therefore, c = 1/4 = 0.25

At a market, 3.1 pounds of peaches cost $7.75.

How much did the peaches cost per pound?

Answers

The peaches cost $2.50 per pound.

Define the term Conversion rate?

Conversion rate is the percentage of website visitors or potential customers who take a desired action, such as making a purchase, signing up for a newsletter, or filling out a form. In other words, it is the rate at which website visitors are converted into customers or subscribers.

To find the cost per pound of peaches, we need to divide the total cost by the weight in pounds.

Cost of 3.1 pounds of peaches = $7.75

Cost of 1 pound of peaches = $7.75 / 3.1

Cost of 1 pound of peaches = $2.50 (rounded to the nearest cent)

Therefore, the peaches cost $2.50 per pound.

To know more about spending cost, visit:

brainly.com/question/2507023

#SPJ1

List the first 5 elements of set A

Answers

The first 5 elements of set A are: {-1, -2, 1, -3, 2}.

What is the set of elements?

The objects in a set are called the elements (or members ) of the set; the elements are said to belong to the set (or to be in the set), and the set is said to contain the elements. Usually, the elements of a set are other mathematical objects, such as numbers, variables, or geometric points.

Set A is defined as:

A = {x | x = k(-1)ⁿ where k ∈ Z* and n ∈ N}

To find the first 5 elements of A, we can substitute different values of k and n:

For k = 1 and n = 1, x = 1(-1)¹ = -1

For k = 2 and n = 1, x = 2(-1)¹ = -2

For k = 1 and n = 2, x = 1(-1)² = 1

For k = 3 and n = 1, x = 3(-1)¹ = -3

For k = 2 and n = 2, x = 2(-1)² = 2

Therefore, the first 5 elements of set A are: {-1, -2, 1, -3, 2}.

To learn more about the set element visit:

https://brainly.com/question/30625698

#SPJ1

A package of pencils has 10 pencils and costs $2. A package of markers has 8 markers and costs $4.
Kelsey bought 40 pencils and 24 markers.

Which statements are true? Select all that apply.

Answers

The statements that are true are: Option c) Kelsey spent more on the pencils than she spent on the markers.

Option e) Kelsey spent $24 in all.

The problem provides us with some information about the cost and quantity of packages of pencils and markers, as well as the quantities of pencils and markers that Kelsey bought. We need to use this information to determine which statements are true.

We know that a package of pencils has 10 pencils and costs $2, and a package of markers has 8 markers and costs $4.

Kelsey bought 40 pencils and 24 markers. We can use this information to determine the number of packages of each item that Kelsey bought:

Pencils: Kelsey bought 40 pencils, and each package has 10 pencils, so she must have bought 4 packages of pencils.

Markers: Kelsey bought 24 markers, and each package has 8 markers, so she must have bought 3 packages of markers.

Now we can use this information to evaluate the statements:

a) Kelsey bought 4 packages and 3 packages of markers - This statement is false. Kelsey actually bought 4 packages of pencils and 3 packages of markers.

b) Kelsey spent $4 in pencils - This statement is false. Kelsey bought 4 packages of pencils, and each package costs $2, so she spent a total of $8 on pencils.

c) Kelsey spent more on the pencils than she spent on the markers - This statement is true. Kelsey bought 4 packages of pencils, which cost a total of $8, and 3 packages of markers, which cost a total of $12. Therefore, she spent more on markers than on pencils.

d) Kelsey spent $20 dollars in all - This statement is false. Kelsey spent $8 on pencils and $12 on markers, so she spent a total of $20.

e) Kelsey spent $24 in all - This statement is true. Kelsey spent $8 on pencils (4 packages x $2 per package) and $12 on markers (3 packages x $4 per package), so she spent a total of $20.

Learn more about number here:

https://brainly.com/question/17429689

#SPJ1

Find the median of the set: 200,125,150,225,150,175,150,250,175

Answers

Answer:

175

Step-by-step explanation:

To find the median of a set of numbers, we must first arrange them numerically.

Arranging the given set in ascending order, we get:

125, 150, 150, 150, 175, 175, 200, 225, 250

The median is the middle number when the set is ordered this way. If the set has an odd number of values, the median is the middle value. If the set has an even number of values, the median is the average of the two middle values.

In this case, the set has nine values, so it is odd. The middle value is the fifth number, which is 175. Therefore, the median of the set is 175.

Evaluate the integral below

Answers

Answer:

Step-by-step explanation:

The value of the integral is 6.

Describe Integration?

Integration is a mathematical operation that involves finding the integral of a function. The integral of a function is a measure of the area under the curve of the function in a given interval. The process of integration is the opposite of differentiation, and it involves finding a function whose derivative is the given function.

Integration is an important tool in many areas of mathematics, science, and engineering. It can be used to calculate quantities such as velocity, acceleration, displacement, and area, among others. It also has applications in fields such as physics, economics, and statistics.

There are different methods of integration, including substitution, integration by parts, partial fractions, and trigonometric substitution. The choice of method depends on the form of the function being integrated and the desired outcome.

We can use integration by parts to evaluate this integral:

Let u = x and dv = g'(x) dx, then du/dx = 1 and v = g(x).

Using the formula for integration by parts:

[tex]\int\limits^5_1[/tex] xg'(x) dx = [xg(x)]₁⁵ - [tex]\int\limits^5_1[/tex] g(x) dx

We can use the given information to find the value of each term in this expression:

[xg(x)]₁⁵ = 5g(5) - 1g(1) = 5(1) - 1(5) = 0

[tex]\int\limits^5_1[/tex] g(x) dx = -6 (given)

Substituting these values into the integration by parts formula, we get:

[tex]\int\limits^5_1[/tex] xg'(x) dx = 0 - (-6) = 6

Therefore, the value of the integral is 6.

To know more about expression visit:

https://brainly.com/question/27286394

#SPJ1

Let S = {4, 9, 14, 19, 24, 29}, E = {9, 19, 29}, F = {4, 14, 24}, and G = {24, 29}. (Enter ∅ for the empty set.) Find the event (E ∩ F ∩ G)c.

Answers

Answer: Recall that E ∩ F ∩ G denotes the intersection of the three sets E, F, and G, and the superscript "c" denotes the complement of this set (i.e., everything outside of this intersection).

First, let's find E ∩ F ∩ G:

E ∩ F ∩ G = {24, 29}

Now, let's find the complement of this set:

(E ∩ F ∩ G)c = S - {24, 29}

This means that we take the set S and remove the elements 24 and 29.

So,

(E ∩ F ∩ G)c = {4, 9, 14, 19}

Step-by-step explanation:

PLEASE HELP ME!!! ASAP.

Enter your answer and show all the steps that you used to solve this problem in the space provided.
(Click imagine for the table)

X. 3, 9, 13, 20.
Y. 9, 27, 39, 60

State weather the relationship between the variables in the table is a direct variation, an inverse variation, or neither.

if it direct, write a function and model it.

Answers

The relationship between the variables in the table is a direct variation.

A function that models the relationship is y = 3x.

What is a direct variation?

In Mathematics, a direct variation is also referred to as direct proportion and it can be modeled by using the following mathematical expression or function:

y = kx

Where:

y and x are the variables.k represents the constant of proportionality.

Under direct variation, the value of x represent an independent variable while the value of y represents the dependent variable. Therefore, the constant of proportionality (variation) can be calculated as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 9/3 = 27/9 = 39/13 = 60/20

Constant of proportionality (k) = 3.

Therefore, the required function is given by;

y = kx

y = 3x

Read more on direct variation here: brainly.com/question/15785278

#SPJ1

The construction below shows two possible triangles that can be formed when
4B - 3 inches and BC = 1.5 inches. Describe what happens to the length of AC
as point C moves counterclockwise around the circle toward point A.

Answers

The length would decrease at first to AB - BC then it would increase to the maximum of B + BC

What would happen when the point C moves counterclockwise around the circle toward point A.

From the diagram we have that two triangles are formed when we have AB = 3 cm and when we have BC = 1.5cm

This would happen when at point AC we have C moving in a counterclockwise direction around A

As AC goes towards A, then we would have AC decrease at first to AB - BC. Then it would increase. The maximum length would be AB + BC

Read more on the length of an arc here:https://brainly.com/question/8020286

#SPJ1

Answer:

It decreases

Step-by-step explanation:

Angelica received a 12-year non-subsidized student loan of $13,000 at an annual interest rate of 5.2% (compounded monthly). She will begin repaying the loan after she graduates in 4 years. How much interest must she pay on the loan during the period of time that payments on the loan are not being made? (Round your answer to the nearest cent.) $ Determine her monthly payment on the loan. (Round your answer to the nearest cent.)

Answers

a) The total interest that Angelica must pay on the loan during the period that payments are not being made is $2,998.58.

b) Angelica's monthly payment on the loan is $204.07.

How are the total interest and monthly payment determined?

The total interest when there were no repayments is determined using an online finance calculator.

The same calculator is used to determine the monthly payments after her graduation.

The total interest and the monthly payments are computed based on monthly compounding interest.

The amount of the non-subsidized student loan = $13,000

Annual compound interest rate = 5.2%

Loan period = 12 years

Non-repayment period = 4 years

Interest during the 4-year Non-Repayment Period:

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 5.2%

PV (Present Value) = $13,000

PMT (Periodic Payment) = $-0

Results:

FV = $-15,998.58

Total Interest = $2,998.58

Monthly Payments:

N (# of periods) = 96 months (8 years x 12)

I/Y (Interest per year) = 5.2%

PV (Present Value) = $15,998.58

FV (Future Value) = $0

Results:

Monthly Payments (PMT) = $-204.07

Sum of all periodic payments = $-19,590.49

Total Interest = $3,591.91

Learn more about the monthly payments at https://brainly.com/question/27926261.

#SPJ1

estimate the sum of 3/4 and 1/5 write an equation

Answers

Answer:

the answer is 19/20

Step-by-step explanation:

the explanation is 3/4 x 5/5=15/20+ 4/20=1/5 x 4/4

You want to be able to withdraw $20,000 each year for 30 years. Your account earns 8% interest. How much do you need in your account at the beginning?

Answers

Yοu wοuld need apprοximately $274,394.92 in yοur accοunt at the beginning tο be able tο withdraw $20,000 each year fοr 30 years at an 8% interest rate.

Tο calculate the amοunt needed in the accοunt at the beginning tο withdraw $20,000 each year fοr 30 years, we can use the fοrmula fοr the present value οf an annuity: [tex]PV = PMT * ((1 - (1 / (1 + r)^n)) / r)[/tex]

Where:

PV = present value (amοunt needed in the accοunt at the beginning)

PMT = payment per periοd (annual withdrawal amοunt = $20,000)

r = interest rate per periοd (8% per year = 0.08)

n = tοtal number οf periοds (30 years)

Plugging in the given values, we get:

[tex]PV = 20,000 * ((1 - (1 / (1 + 0.08)^{30})) / 0.08)[/tex]

PV ≈ $274,394.92

Therefοre, yοu wοuld need apprοximately $274,394.92 in yοur accοunt at the beginning tο be able tο withdraw $20,000 each year fοr 30 years at an 8% interest rate.

Learn  more about interest rate

https://brainly.com/question/14445709

#SPJ1

In the coordinate plane, the points....

Answers

Answer:

A'(4,-3) B'(6,11) C'(-7,-2)

Step-by-step explanation:

X-axis is (x,y) --> (x,-y)

A(4,3) --> (4,-3)

B(6,-11) --> (6,11)

C(-7,2) --> (-7,-2)

♡♡♡

need help with This Math ​

Answers

The value of XS in the perpendicular lines is 16 units.

How to find length of line segment?

The line VU is perpendicular to the line  XS. Perpendicular lines are defined as two lines that meet or intersect each other at right angles.

Therefore, perpendicular bisector is a line that divides a given line segment exactly into two halves forming 90 degrees angle at the intersection point.

Hence,

b + 5 = 3b - 1

b - 3b = -1 - 5

-2b = -6

divide both sides by -2

b = -6 / -2

b = 3

Therefore, let's find XS as follows:

XS = b + 5 + 3b - 1

XS = 4b + 4

XS = 4(3) + 4

XS = 12 + 4

XS = 16 units

learn more on perpendicular lines here: brainly.com/question/28642423

#SPJ1

Determine whether the ordered pair is a solution to the system.
x + 4y > 10
3x - 2y < 12
a. (-2, 4) b. (3,1)​

Answers

Answer:

a.   (-2, 4) only

==================================================

Explanation:

Let's check point A.

We have x = -2 and y = 4 pair up together.

Plug these coordinates into the first inequality.

x + 4y > 10

-2 + 4*4 > 10

-2 + 16 > 10

14 > 10

We get a true statement, so (-2,4) is in the shaded solution region of the inequality x+4y > 10.

Repeat for the other inequality.

3x - 2y < 12

3*(-2) - 2*4 < 12

-6 - 8 < 12

-14 < 12

This is also true.

The point (-2,4) is also in the shaded solution region for 3x-2y < 12

Since it's in both regions simultaneously, it satisfies the system of inequalities.

Therefore, (-2,4) is a solution to the system.

See the diagram below. Point A is in the shaded region.

-------------------------------

Now we need to check point B.

We have x = 3 and y = 1. Let's plug those into the 1st inequality.

x + 4y > 10

3 + 4*1 > 10

3 + 4 > 10

7 > 10

That final statement is false, so (3,1) is not in the shaded region for x+4y > 10. We don't need to check the other region since this point needs to satisfy both inequalities to be considered a solution overall.

See the diagram below. Point B is outside the shaded region.

I need help on this question?

Answers

The vector components and direction of the river and motorboat are;

(a) 12·i

(b) 12·i + 12·√3·j

(c) 24·i + 12·√3·j

(d) 31.7 mi/h

The direction of the motorboat is N 49.1° E

What is a vector?

A vector is a quantity or measurement that indicates a magnitude and a direction of the measurement.

The direction the river flows = East

The speed of the river = 12 mi/h

The direction the boater heads = 60° from the shore

Speed of the motor boar = 24 mi/h

The unit vector in the east direction = i

Unit vector in the north direction = j

(a) The velocity of the river, which is 12 mi/h east expressed in vector form is therefore;

12·i

(b) The velocity of the motorboat relative to the river, in vector component form is therefore;

Component of the velocity in the east direction = 24 × cos(60°)·i = 12·i

Component in the north direction = 24 × sin(60°)·j = 12·√3·j

The component form of the velocity of the boat is therefore;

[tex]\vec{v}[/tex] = 12·i + 12·√3·j

(c) The true velocity of the boat is the vector sum of the velocity of the river and the velocity of the boat, therefore;

True velocity of the boat = 12·i + 12·i + 12·√3·j = 24·i + 12·√3·j

True velocity of the boat = 24·i + 12·√3·j

(d) The true speed is the magnitude of the velocity of the boat which can be found ads follows;

[tex]| \vec{v}|[/tex] = √(24² + (12·√3)²) ≈ 31.7

The (true) direction of the motorboat, θ, can be obtained from the arctangent of the ratio of the velocity component in the northern direction to the velocity in the eastern direction as follows;

The velocity component of the motorboat in the northern direction = 12·√3

The component of the velocity in the eastern direction = 24

Therefore;

tan(θ) = 12·√3/(24)

θ = arctan(12*√3/(24)) ≈ 40.9°, which is about East 40.9° North

The direction from the north, therefore is found as follows;

Direction = N (90° - 40.9°) E ≈ N 49.1° E

Learn more on vectors here: https://brainly.com/question/24855749

#SPJ1

HELP ASAP PLEASE! A small box in the shape of a cube for packaging has a volume of 216 cubic inches.

For a medium box, the length, width, and height are all tripled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.

What is the volume of a medium box? Show your work.

Answers

The ratio of the sides of the small box and the medium box is 1:3

The ratio of the area of the bases of the small box and the medium box is 1:9.

The ratio of the volumes of the small box and the medium box is 1:27.

The volume of a medium box is 5832 cubic inches.

What is a cube?

The solid shape of a cube has six square faces. Because every square face has the same side length, each face is the same size. A cube has 8 vertices and 12 edges. Each vertex is the intersection of three cube edges.

Given that a cube-shaped small packaging box has a volume of 216 cubic inches.

Assume the length of sides is a.

The volume of a cube is side³.

The volume of the small box is a³.

Thus,

a³ = 216

a³ = 6³

a = 6

The length of the small box is 6.

The area of the base of small box is 6×6  = 36 square inches.

The dimensions of a medium box are tripled in length, width, and height.

Thus the length of the medium box is 3×6 = 18 inches.

The area of the base of the medium box is 18×18 = 324 square inches.

The volume of cube medium box is 18×18×18 = 5832 cubic inches.

The ratio of the sides of small box and medium box is

6:18 = 1:3

The ratio of the area of bases of small box and the medium box is

36:324 = 1:9

The ratio of the volumes of small box and the medium box is

216:5834 = 1:27

To learn more about cube shape, click on the below link:

https://brainly.com/question/5243298

#SPJ1

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2204 bacteria in five hours. Find the hourly growth rate parameter.
Note: This is a continuous exponential growth model.

Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

Answers

The exponential growth of bacteria gives the growth percentage to be 4.05%.

What is an exponential function?

The formula for an exponential function is [tex]f(x) = a^x[/tex], where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

Let N(t) be the number of bacteria in the population at time t.

According to the continuous exponential growth model, we have -

[tex]N(t) = N0 \times e^{(rt)}[/tex]

where N0 is the initial number of bacteria, r is the hourly growth rate parameter, and t is the time elapsed in hours.

We know that a sample of 1800 bacteria reached the size of 2204 bacteria in five hours, so we can use this information to find the hourly growth rate parameter.

First, we can set up a ratio of the final size to the initial size -

[tex]\frac{2204}{1800} = e^{5r}[/tex]

Simplifying, we get -

[tex]e^{5r} = 1.2244[/tex]

Taking the natural logarithm of both sides, we get -

5r = ln(1.2244)

Solving for r, we get -

r = ln(1.2244) / 5

On further simplifying, we get -

r = 0.20245 / 5

r ≈ 0.04049

To express the growth rate as a percentage, we can multiply by 100 -

r percentage = 100 × r ≈ 4.049

Rounding to the nearest hundredth, we get -

r percentage ≈ 4.05%

Therefore, the hourly growth rate parameter is approximately 4.05%.

To learn more about exponential function from the given link

brainly.com/question/12626186

#SPJ1

Sanford bought two shirts for $24.95 each and a pair of pants for $39.95. He paid with a $100 bill. Assuming he paid no sales tax, how much change did he receive?

Answers

Assuming Sanford paid no sales tax, he received $10.15 in change.

What are basic arithmetic operations?

Basic arithmetic calculations are the fundamental operations used in mathematics to perform numerical computations. These operations include addition, subtraction, multiplication, and division of numbers. In addition, arithmetic calculations may also involve other concepts, such as fractions, decimals, percentages, and ratios.

The total cost of the two shirts is 2 x $24.95 = $49.90.

The total cost of the two shirts and the pair of pants is $49.90 + $39.95 = $89.85.

Sanford paid with a $100 bill, so his change would be:

$100 - $89.85 = $10.15

Therefore, Sanford received $10.15 in change.

To know more about basic arithmetic operations visit:

brainly.com/question/30553381

#SPJ1

Write your answer as a two column proof.

Answers

Since opposite angles are equal, this means that GHJK is a parallelogram, because opposite sides are parallel.

Describe Parallelogram?

Additionally, each pair of opposite sides of a parallelogram are congruent (of equal length), and the opposite angles of a parallelogram are also congruent (of equal measure). These properties make parallelograms useful in various fields such as engineering, architecture, and geometry.

There are different types of parallelograms, including rectangles, rhombuses, and squares, which have additional properties such as perpendicular sides, equal sides, or right angles. A rectangle is a type of parallelogram with four right angles, while a rhombus has four sides of equal length, and a square has both equal sides and right angles.

To prove that GHJK is a parallelogram, we need to show that opposite sides are parallel.

Since GK is parallel to HJ, we have:

∠LGK + ∠KHL = 180° (because GK // HJ)

But we are given that:

∠LGK = ∠LKL (given)

Therefore:

∠LKL + ∠KHL = 180°

This means that ∠KHL is a supplementary angle to ∠LKL.

Similarly, we can show that ∠KJH is a supplementary angle to ∠JKL:

∠JKL + ∠KJL = 180° (because GK // HJ)

But we are given that:

∠LGK = ∠LKL

Therefore:

∠LGK + ∠KJL = 180°

This means that ∠KJL is a supplementary angle to ∠LGK.

Now, we can use the fact that the opposite angles of a parallelogram are equal to show that GHJK is a parallelogram:

∠LKL = ∠JKL (alternate interior angles)

∠KHL = ∠KJH (alternate interior angles)

Since opposite angles are equal, this means that GHJK is a parallelogram, because opposite sides are parallel.

To know more about supplementary visit:

https://brainly.com/question/11377162

#SPJ1

Felix is visiting a shopping mall that has a rectangular shape with a diagonal walkway that goes from the entrance of the mall to the food court. The floor plan is shown below. What would be an equation Felix could use if wanted to find the distance, x, between the food court and the sports store? Select all that apply.

Answers

Answer:

The equation is tan(25.4°) = x/1,600, so

x = 1,600 tan(25.4°) = about 759.74 feet



Enter the volume, in cubic feet of the cone. Round your answer to the nearest hundredth.

​HELP!

Answers

Answer: 565.49ft^3/ 565.49ft cubed

Hopefully it is correct!

7.Almost" latest release DVDs and Video Games are on special at RetraVision. Todd buys two Games and three DVDs at a total cost of $148.85. His more extravagant friend buys three Games and 5 DVDs for a total of $230.75. Determine the sale price of each DVD and Video Game

Answers

Answer:

let video game be x

let DVDs be y

2x+3y=148.85

3x +5y=230.75

make x the subject of the formula

x=148.85-3y/2

3(148.85-3y/2)+5y =230.75

446.55-3y/2=230.75

461.5=446.55-3y

461.5-446.55 =-3y

-3y = 14.95

y=-4.987

x=

Other Questions
In order for an appellate court to hear an appeal from a trial court, there must bea claim that what happened at the trial court? Underline the dependent clause in this sentence: Scout ran into the house because she was scared Which statement best describes the effect of the Great Depression onhousing?A. The majority of Americans experienced no difference in theirhousing situation.B. Hundreds of thousands of families were able to buy new homesbecause of lower interest rates.OC. Hundreds of thousands of families were evicted from their homesbecause they could not pay their mortgages or rent.OD. The majority of Americans moved in with relatives in order to savemoney.SUBMIT Use the factor theorem to determine if the given binomial is a factor of f f(x)=x^(4)-9x^(3)+5x^(2)+5x-2 (a) x-1 (b) x+1 A child's bank contains 143 coins consisting of nickels and quarters. If the total amount of money is $18.35, find the number of nickels and quarters in the bank. ax^2-3x=0 if A is not equal to 0 (zero) Who can tell me what fighter jet this is belowA. F 14 tomcatB. f 15 eagleC. F 22 raptor determine the total angular momentum of the two-disk system after the smaller disk is dropped on the larger one. Anthony and Jacob have some circles. All the circles are the same size. Anthony and Jacob want to completely color twelve circles to make a border for their math project.Anthony colors six and one-fourth circles before having to go to lunch. Jacob colors five and three-fourths circles before having to go to lunch. Anthony says if he had colored one-fourth of Jacob's last circle instead of one-fourth of his last circle, they would have twelve whole sircles colored. Is Anthony correct?please show work : - )50 points!6 min due.. how people of subcontinent used to perform religious ritual or worship god ? A bicycle wheel make five rotations. The bicycle travel 30.09 find the diameter what is the interest portion of the second monthly payment on a $200,000 mortgage with payments of $1,264.14 per month and an interest rate of 6.5% for a 30-year term? Why might the word choose to be misleading in the phrase to be divided into districts for the reception of such tribes or nations of Indians as may choose to exchange the land where they now reside? Oh Which transformation would take Figure A to Figure B? The author most likely included the information about the principals and teachers reactions in order tocreate a character vs. nature conflict.resolve a character vs. character conflict.complicate Millicents character vs. self conflict.introduce another character vs. society conflict The length of arectangular poster is 5 more inches than twotimes its width. The area of the poster is 33 square inches. Solvefor the dimensions (length and width) of the poster. CAN SOMEONE PLEASE HELPPPP MEEE UNDERSTAND Show that the probability density function for a normally distributed random variable has inflection points at x = . Write a letter applying to join the police, in response to the extract from the UK police website. Begin your letter dear sir/ madam and adopt a formal tone. You should describe what you find attractive about the job, outline the personal qualities which make you suitable include any other in formation you think is relevant Which one of the following is NOT part of the analysis of the micro external environment?(Choose one answer)Sociocultural trendsBargaining power of buyersBargaining power of suppliersThreat of substitute productsCompetitive rivalry/existing competitionPorter's main message is that if the forces are strong then the industry is...(Choose one answer)Not attractiveAttractiveHighly profitableNot competitiveWhich one of these, according to Porter is NOT a force driving industry competition?(Choose one answer)Threat of new entrantsBargaining power of buyersBargaining power of distributorsWhat kind of impact does Coronavirus as a sociocultural factor (from PESTEL-DG) have on the telecommunication infrastructure industry?(Choose one answer)PositiveNegativeBoth positive and negativeQuestion 252.5 PointsThe competitive environment of the firm is...(Choose one answer)The micro environment and it is analysed by the PESTEL-DG analysisThe micro environment and it is analysed by the Porter's 5 Forces analysisThe macro environment and it is analysed by the PESTE-DG analysisThe macro environment and it is analysed by the Porter's 4 Forces analysis