The cost of 15 toys is $225. Identify the equation that represents this situation.

The Cost Of 15 Toys Is $225. Identify The Equation That Represents This Situation.

Answers

Answer 1

Question:

Solution:

Let us denote by c the cost of each toy. Then, according to the problem, the cost of 15 toys would be:

[tex]15c\text{ = 225}[/tex]

So, we can conclude that the correct answer is:

[tex]15c\text{ = 225}[/tex]

The Cost Of 15 Toys Is $225. Identify The Equation That Represents This Situation.

Related Questions

Zachary is designing a new board game, and is trying to figure out allthe possible outcomes. How many different possible outcomes arethere if he spins a spinner with three equal-sized sections labeledWalk, Run, Stop, spins a spinner with four equal-sized sections labeledRed, Green, Blue, Orange, and spins a spinner with 5 equal-sizedsections labeled Monday, Tuesday, Wednesday, Thursday, Friday?

Answers

ANSWER

60 possible outcomes

EXPLANATION

If he spins the 3-section spinner, there are 3 possible outcomes: Walk, Run, Stop.

If he spins the 4-section spinner, there are 4 possible outcomes: red, green, blue, orange.

If he spins the 5-section spinner, there are 5 possible outcomes: Monday, Tuesday, Wednesday, Thursday, Friday.

If he has to spin the three spinners, the total possible outcomes is the product of the possible outcomes of each spinner: 3x4x5 = 60.

5. What is the correlation coefficient for the given data?

Answers

Let us plot the data on the graph to obtain its correlation coefficient.

5) 'r' is known to be the symbol for the correlation coefficient.

Hence, the correlation coefficient from the graph is

[tex]r=0.9741[/tex]

6) There is a strong correlation for the data set because the r-value is larger than 0.7 which is close to +1.

Write an addition equation and a subtraction equation
to represent the problem using? for the unknown.
Then solve.
There are 30 actors in a school play. There are
10 actors from second grade. The rest are from third
grade. How many actors are from third grade?
a. Equations:
b. Solve

Answers

The Equation is 10 + x= 30 and 20 actors are from third grade.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

There are 30 actors in a school play.

There are 10 actors from second grade.

The rest are from third grade.

let the actors in third grade is x.

Equation is:

Actors from second grade + Actors from third grade = Total actors

10 + x= 30

Now, solving

Subtract 10 from both side

10 +x - 10 = 30 - 10

x = 20

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Analyze the equations in the graphs to find the slope of each equation the y-intercept of each equation in the solution for the system of equations equation 1: y = 50x + 122

Answers

Given:

[tex]y=50x+122\ldots\text{ (1)}[/tex][tex]y=1540-82x\ldots\text{ (2)}[/tex]

The general equation is

[tex]y=mx+c[/tex]

m is a slope and c is the y-intercept.

From equation (1),

[tex]\text{Slope = 50 and y intercept is 122}[/tex]

From equation (2)

[tex]\text{Slope = -82 and yintercept is }1540[/tex]

From equation (1) and (2)

Substitute equation (2) in (1)

[tex]1540-82x=50x+122[/tex][tex]50x+82x=1540-122[/tex][tex]132x=1418[/tex][tex]x=\frac{1418}{132}[/tex][tex]x=44[/tex]

Substitute in (2)

[tex]undefined[/tex]

how do you find the domain in a range of number 2?

Answers

The domain is all the x values included in the function, while the range are all the y values included in the function.

Based on the graph:

Answer:

• Domain:

[tex](-\infty,\text{ }\infty)[/tex]

• Range:

[tex](0,\infty)[/tex]

A machine worked for 4hours and used 6kilowatts of electricity.What is the rate ofenergy consumed inkilowatts per hour?*Enter your answer as a decimal

Answers

4 hours ---> 6 kilowatts

1 hour -----> x kilowatts

[tex]\begin{gathered} 4\times x=1\times6 \\ 4x=6 \\ \frac{4x}{4}=\frac{6}{4} \\ x=\frac{3}{2}=1.5 \end{gathered}[/tex]

answer:

1.5 kilowatts per hour

x+y+z=12x+4y+2z = -6-x+9y-3z=-49 Can someone please help me solve this system of equation?

Answers

Let's begin by listing out the information given to us:

[tex]\begin{gathered} x+y+z=1 \\ 2x+4y+2z=-6 \\ -x+9y-3z=-49 \end{gathered}[/tex]

To solve this 3 variable equation, let's eliminate one of the variables

add equation 1 & 3, we have:

[tex]\begin{gathered} x-x+y+9y+z-3z=1-49 \\ 10y-2z=-48 \\ Make\text{ z the }subject,we\text{ have:} \\ -2z=-10y-48 \\ divide\text{ through by -2} \\ z=5y+24 \end{gathered}[/tex]

Substitute z into equation 1, 2 & 3

[tex]\begin{gathered} x+y+5y+24=1 \\ x+6y=1-24 \\ x+6y=-23 \end{gathered}[/tex]

[tex]\begin{gathered} 2x+4y+2\left(5y+24\right)=-6 \\ 2x+4y+10y+48=-6 \\ 2x+14y=-6-48 \\ 2x+14y=-54 \end{gathered}[/tex]

[tex]\begin{gathered} -x+9y-3\left(5y+24\right)=-49 \\ -x+9y-15y-72=-49 \\ -x-6y=-49+72 \\ -x-6y=23 \end{gathered}[/tex]

Solve as a simultaneous equation, we have:

[tex]\begin{gathered} x+6y=-23 \\ 2x+14y=-54 \\ \text{Multiply the top equation by 2 \& subtract it from the bottom equation} \\ 2\cdot(x+6y=-23)\Rightarrow2x+12y=-46 \\ 2x+14y=-54-(2x+12y=-46) \\ 2x-2x+14y-12y=-54-(-46) \\ 2y=-8 \\ y=-4 \end{gathered}[/tex]

Substitute y = -4 into x + 6y = -23, we have:

[tex]\begin{gathered} x+6\left(-4\right)=-23 \\ x-24=-23 \\ x=-23+24 \\ x=1 \end{gathered}[/tex]

Substitute y = -4 into z = 5y + 24, we have:

[tex]\begin{gathered} z=5\left(-4\right)+24 \\ z=-20+24 \\ z=4 \end{gathered}[/tex]

Fifteen strips, 11/4" wide, are to be ripped from a sheet of plywood. If 1/8" is lost with each cut, how much of the plywood sheet is used in making the 15 strips? (Assume 15 cuts are necessary.)

Answers

The size of the plywood sheet used is;

[tex]\frac{37}{8}^{\doubleprime}[/tex]

Here, we want to get the size of the part of the plywood sheet lost

From the question, we are told that 1/8 inches is lost

The size lost would be;

[tex]\frac{1}{8}\times\text{ 15 = }\frac{15}{8}[/tex]

This is the size that was lost

To get the total part of the plywood used, we simply add the width of all the strips to the amount of the plywood lost

We have this as;

[tex]\frac{11}{4}\text{ + }\frac{15}{8}\text{ = }\frac{22+15}{8}\text{ = }\frac{37}{8}[/tex]

Number 14. Directions in pic. And also when you graph do the main function in red and the inverse in blue

Answers

Question 14.

Given the function:

[tex]f(x)=-\frac{2}{3}x-4[/tex]

Let's find the inverse of the function.

To find the inverse, take the following steps.

Step 1.

Rewrite f(x) for y

[tex]y=-\frac{2}{3}x-4[/tex]

Step 2.

Interchange the variables:

[tex]x=-\frac{2}{3}y-4[/tex]

Step 3.

Solve for y

Add 4 to both sides:

[tex]\begin{gathered} x+4=-\frac{2}{3}y-4+4 \\ \\ x+4=-\frac{2}{3}y \end{gathered}[/tex]

Multply all terms by 3:

[tex]\begin{gathered} 3x+3(4)=-\frac{2}{3}y\ast3 \\ \\ 3x+12=-2y \end{gathered}[/tex]

Divide all terms by -2:

[tex]\begin{gathered} -\frac{3}{2}x+\frac{12}{-2}=\frac{-2y}{-2} \\ \\ -\frac{3}{2}x-6=y \\ \\ y=-\frac{3}{2}x-6 \end{gathered}[/tex]

Therefore, the inverse of the function is:

[tex]f^{-1}(x)=-\frac{3}{2}x-6[/tex]

Let's graph both functions.

To graph each function let's use two points for each.

• Main function:

Find two point usnig the function.

When x = 3:

[tex]\begin{gathered} f(3)=-\frac{2}{3}\ast3-4 \\ \\ f(3)=-2-4 \\ \\ f(3)=-6 \end{gathered}[/tex]

When x = 0:

[tex]\begin{gathered} f(0)=-\frac{2}{3}\ast(0)-4 \\ \\ f(-3)=-4 \end{gathered}[/tex]

For the main function, we have the points:

(3, -6) and (0, -4)

Inverse function:

When x = 2:

[tex]\begin{gathered} f^{-1}(2)=-\frac{3}{2}\ast(2)-6 \\ \\ f^{-1}(2)=-3-6 \\ \\ f^1(2)=-9 \end{gathered}[/tex]

When x = -2:

[tex]\begin{gathered} f^{-1}(-2)=-\frac{3}{2}\ast(-2)-6 \\ \\ f^1(-2)=3-6 \\ \\ f^{-1}(2)=-3 \end{gathered}[/tex]

For the inverse function, we have the points:

(2, -9) and (-2, -3)

To graph both functions, we have:

ANSWER:

[tex]\begin{gathered} \text{ Inverse function:} \\ f^{-1}(x)=-\frac{3}{2}x-6 \end{gathered}[/tex]

The value of an IBM share one day was $ 74.50 more than the value of an AT&T share.

Answers

An algebraic expression we can use to compare the price of IBM shares as being $74.50 more than AT&T shares is x + 74.50, where x is the value of AT&T shares.

What is an algebraic expression?

An algebraic expression consists of variables, terms, constants, and mathematical operations, including addition, subtraction, multiplication, division, and others.

The five algebraic expressions include monomial, polynomial, binomial, trinomial, multinomial.

We can also describe algebraic expressions as falling under the following categories:

Elementary algebraAdvanced algebraAbstract algebraLinear algebraCommutative algebra.

An example of an algebraic expression is 2x + 3y.

Let the value of AT&T share = x

Let the value of IBM share = x + 74.50

Thus, we can, algebraically, conclude that AT&T's share price is x while the price of IBM's share is x + 74.50 on that particular day.

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How do I get my answer?

Answers

Answer:

[tex] \frac{2}{9 {d}^{14} } [/tex]

Step-by-step explanation:

[tex] \frac{ {4d}^{ - 5} }{18 {d}^{9} } = \frac{4}{18} \times \frac{ {d}^{ - 5} }{ {d}^{9} } = \frac{2}{9} {d}^{ - 14} = \frac{2}{ {9d}^{14} } [/tex]

The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the sh Ay 10 00 6 water 4 shore |(2, 1) swimmer 19 -2 2 1 3 4 5X N -2 An equation that represents the shortest path is y=

Answers

Answer:

Explanation:

From the graph, we ca

Which of the following are solutions to the following solutions to the following solutions?

Answers

We have to find the solutions to the equation:

[tex]|x+4|=8[/tex]

The absolute value function is in fact a piecewise function, so it may have two solutions.

We consider for the first solution that the argument inside the absolute function is positive, that is x + 4 > 0. Then, we will have:

[tex]\begin{gathered} x+4=8 \\ x=8-4 \\ x=4 \end{gathered}[/tex]

Now, we consider that the the argument is negative and is made positive by the absolute value function (it will shift the sign, which can be represented by a multiplication by -1). This means that x + 4 < 0, and the solution will be:

[tex]\begin{gathered} -(x+4)=8 \\ -x-4=8 \\ -x=8+4 \\ -x=12 \\ x=-12 \end{gathered}[/tex]

We can see it in a graph as:

Answer: the solutions are x = 4 and x = -12.

The first 19 terms of the sequence 9, 2, -5, -12,... find the sum of the arithmetic sequence

Answers

To find the sum of the ari

Given that the two triangles are similar find the unknowns length of the side labeled in

Answers

Answer:

The unknown length of the side labeled n is 10.5 units

Explanation:

Given:

Two similar triangles with one unknown

To find:

the unknown length of the side labelled n

For two triangles to be similar, the ratio of their corresponding sides will equal

[tex]\begin{gathered} side\text{ with 36 corresponds to side with 27} \\ side\text{ with 14 corresponds to side with n} \\ The\text{ ratio:} \\ \frac{14}{n}\text{ = }\frac{36}{27} \end{gathered}[/tex]

[tex]\begin{gathered} crossmultiply: \\ 14(27)\text{ = 36\lparen n\rparen} \\ 36n\text{ = 378} \\ \\ divide\text{ both sides by n:} \\ \frac{36n}{36}\text{ = }\frac{378}{36} \\ n\text{ = 10.5} \end{gathered}[/tex]

The unknown length of the side labeled n is 10.5 units

An object moves in simple harmonic motion with period 6 seconds and amplitude 4cm. At time =t0 seconds, its displacement d from rest is 0cm, and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t.

Answers

The general function for describing the displacement from the mean position in harmonic motion is:

[tex]d(t)=A\cdot\sin (\frac{2\pi}{T}\cdot t+\phi)\text{.}[/tex]

Where:

• A is the amplitude,

,

• T is the period,

,

• φ is initial phase displacement.

From the statement, we know that:

• the amplitude is 4 cm,

,

• at time t = 0 its displacement d from the rest is 0 → d(t = 0) = 0,

,

• initially, it moves in a negative direction.

s

cell phone company A charges a fee of $50 per month plus an additional $0.10 for every minute talked. cell phone company B computes its monthly charge by using the equation y=$0.05 + $75 where y is the total cost and X is the number of minutes talked.

Answers

We will first write A equation

Let x be the number of minutes

y = 0.10x + 50

Comparing the above with y=mx + b where m is the rate of change

m = 0.10

Company B

y = 0.05x + 75

comparing with y =mx + b

rate of change (m) = 0.05

Hence, company A has a higher rate of change at $0.10

Find the tangent of each angle that is not the right angle. Drag and drop the numbers into the boxes to show the tangent of each angle. B 76 tan ZA tan ZB 2.45 0.38 0.93

Answers

From the trignometric ratio of right angle triangle :

The ratio for the tangent of any angle of right angle triangle is the ratio of the side Opposite to that angle to the adjacent side of that angle :

[tex]\tan \theta=\frac{Opposite\text{ Side}}{Adjacent\text{ Side}}[/tex]

In the given triangle :The side opposite to the angle A is BC and the adjacent side AC

So,

[tex]\begin{gathered} \tan \theta=\frac{Opposite\text{ Side}}{Adjacent\text{ Side}} \\ \tan A=\frac{BC}{AC} \end{gathered}[/tex]

In the figure : we have AC = 76, BC = 31 and AB = 82.1

Substitute the value and simplify :

[tex]\begin{gathered} \tan A=\frac{BC}{AC} \\ \tan A=\frac{31}{76} \\ \tan A=0.407 \\ \tan A=0.41 \end{gathered}[/tex]

Thus, tan A = 0.41

Now, the side opposite to the angle B is AC and the adjacent side is BC

thus :

[tex]\begin{gathered} \tan \theta=\frac{Opposite\text{ Side}}{Adjacent\text{ Side}} \\ \tan B=\frac{AC}{BC} \end{gathered}[/tex]

In the figure : we have AC = 76, BC = 31 and AB = 82.1

Substitute the value and simplify :

[tex]\begin{gathered} \tan B=\frac{AC}{BC} \\ \tan B=\frac{76}{31} \\ \tan B=2.451 \end{gathered}[/tex]

tan B = 2.451

Answer :

tanA = 0.41

tanB = 2.45

5. What is the area of triangle ABC? (lesson 10.2)AN10 ftD 6 ftСA 15 square feetB 16 square feet© 30 square feetD 32 square feet

Answers

[tex]\begin{gathered} A=\frac{l\cdot h}{2} \\ l=6ft \\ h=10ft \\ A=\frac{6\cdot10ft^2}{2}=\frac{60}{2}ft^2=30ft^2 \end{gathered}[/tex]

The answer is C, 30 square feet

I need help with this question please. Just do question 1 please. Also this is just apart of a homework practice

Answers

Answer:

P(x) = 1.3x² + 0.1x + 2.8

Explanation:

We need to find an equation that satisfies the relationship shown in the table. So, let's replace x by 2 and then compare whether the value of p(x) is 8.2 or not

P(x) = 1.3x³ + 0.1x² + 2.8x

P(2) = 1.3(2)³ + 0.1(2)² + 2.8(2)

P(2) = 16.4

Since P(2) is 16.4 instead of 8.2, this is not a correct option

P(x) = 1.3x² + 0.2x - 2.8

P(2) = 1.3(2)² + 0.2(2) - 2.8

P(2) = 2.8

Since 2.8 and 8.2 are distinct, this is not the correct option

P(x) = 2.3x² + 0.2x + 1.8

P(x) = 2.3(2)² + 0.2(2) + 1.8

P(x) = 11.4

Since 11.4 and 8.2 are distinct, this is not the correct option

P(x) = 1.3x² + 0.1x + 2.8

P(2) = 1.3(2)² + 0.1(2) + 2.8

P(2) = 8.2

Therefore, this is the polynomial function for the data in the table.

So, the answer is P(x) = 1.3x² + 0.1x + 2.8

4/7 X 1/2 = in fraction

Answers

Consider the given expression,

[tex]P=\frac{4}{7}\times\frac{1}{2}[/tex]

The product of fractions is obtained in the form of a fraction whose numberator is the product of numerators of fractions, and the denominator of the product is the product of denominators of the given fractions,

[tex]\begin{gathered} P=\frac{4\times1}{7\times2} \\ P=\frac{4}{14} \end{gathered}[/tex]

Thus, the product of the given fractions is 4/14 .

Find the complement requested angle of 10% A/ 350B/20C/170D/80

Answers

The complementary angles are angles in which the sum of them is equal to 90º

So: 90º-10º=80º

So, the complementary angle is 80º

Han and clan are stuffing enveloppes Han can stuff 20 envelopes in one minute and Clare can stuff 10 envelopes in one minute. They start working together on a pile of 1000 envelopes. How long does it take them to finish the pile.

Answers

uff = Given

Han can stuff 20 envelopes in one minute

Clare can stuff 10 envelopes in one minute

Together they start working on a pile off 1000 envelope.

Find

How long does it take them to finish the pile.

Explanation

as we have given

in one minute , Han can stuff = 20 envelope

in one minute , Clare can stuff = 10 envelope

together in one minute , they can stuff =

[tex]\begin{gathered} 20+10=30 \\ \\ \end{gathered}[/tex]

we know that the number of time it will take to finish stuffing would be number of envelope / joint rate = 1000/30

so , time taken to finish the pile =

[tex]\begin{gathered} \frac{1000}{30} \\ \\ \frac{100}{3} \\ \\ 33\frac{1}{3} \\ or \\ 33min20sec \end{gathered}[/tex]

Final Answer

Hence , the time taken by them to finish the pile is 33 minutes 20 seconds

let f(x)=8x+5 and g(x)=9x-2. find the function.f - g(f - g) (x) =find the domain.

Answers

Answer:

(f - g)( x ) = -x + 7

Domain;

[tex](-\infty,\infty)[/tex]

Explanation:

Given the below functions;

[tex]\begin{gathered} f(x)=8x+5 \\ g(x)=9x-2 \end{gathered}[/tex]

To find (f - g)( x ), all we need to do is subtract g(x) from f(x) as shown below;

[tex]\begin{gathered} (f-g)\mleft(x\mright)=(8x+5)-(9x-2) \\ =8x+5-9x+2 \\ =8x-9x+5+2 \\ =-x+7 \end{gathered}[/tex]

The domain of the function will be all values from negative infinity to positive infinty, written as;

[tex](-\infty,\infty)[/tex]

Find the prime factorization of the following number write any repeated factors using exponents

Answers

Notice that 100=10*10, and 10=2*5. 2 and 5 are prime numbers; therefore,

[tex]\begin{gathered} 100=10\cdot10=(2\cdot5)(2\cdot5)=2\cdot2\cdot5\cdot5=2^2\cdot5^2 \\ \Rightarrow100=2^2\cdot5^2 \end{gathered}[/tex]

The answer is 100=2^2*5^2

Yoko plans to watch 2 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.

Answers

Answer:

2m because 2 times the months will tell us how many she has watched for example in 2 months she will watch 4 because 2*2 is 4

what's the answer for proportions 7/9=b/b-10

Answers

Answer:

-35

Step-by-step explanation:

[tex]\frac{7}{9}[/tex] = [tex]\frac{b}{b - 10}[/tex]  multiply both sides by 9(b -10)

[tex]\frac{9(b - 10)}{1}[/tex]  [tex](\frac{7}{9})[/tex] = [tex]\frac{9(b -10)}{1}[/tex] [tex](\frac{b}{b-10})[/tex]  On the right side of the equation, the 9's cancel out and on the right side of the equation the (b -10) cancels out to leave

7(b -10) = 9b  Distribute the 7

7b - 70 = 9b  Subtract 7b from both sides

-70 = 2b  Divide both sides by 2

-35 = b

The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 170 cm2 , what is the length of the diagonal?The length of the diagonal is cm.Give your answer to 2 decimal places.Submit QuestionQuestion 25

Answers

The formula to find the area of a rectangle is:

[tex]\begin{gathered} A=l\cdot w \\ \text{ Where} \\ \text{ A is the area} \\ l\text{ is the length} \\ w\text{ is the width} \end{gathered}[/tex]

Since the rectangle area is 170cm², we can write the following equation.

[tex]170=l\cdot w\Rightarrow\text{ Equation 1}[/tex]

On the other hand, we know that the width of the rectangle is 6 less than twice its length. Then, we can write another equation.

[tex]\begin{gathered} w=2l-6\Rightarrow\text{ Equation 2} \\ \text{ Because} \\ 2l\Rightarrow\text{ Twice length} \\ 2l-6\Rightarrow\text{ 6 less than twice length} \end{gathered}[/tex]

Now, we solve the found system of equations.

[tex]\begin{cases}170=l\cdot w\Rightarrow\text{ Equation 1} \\ w=2l-6\Rightarrow\text{ Equation 2}\end{cases}[/tex]

For this, we can use the substitution method.

Step 1: we replace the value of w from Equation 2 into Equation 1. Then, we solve for l.

[tex]\begin{gathered} 170=l(2l-6) \\ \text{Apply the distributive property} \\ 170=l\cdot2l-l\cdot6 \\ 170=2l^2-6l \\ \text{ Subtract 170 from both sides} \\ 0=2l^2-6l-170 \end{gathered}[/tex]

We can use the quadratic formula to solve the above equation.

[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\Rightarrow\text{ Quadratic formula} \\ \text{ For }ax^2+bx+c=0 \end{gathered}[/tex]

Then, we have:

[tex]\begin{gathered} a=2 \\ b=-6 \\ c=-170 \\ l=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ l=\frac{-(-6)\pm\sqrt[]{(-6)^2-4(2)(-170)}}{2(2)} \\ l=\frac{6\pm\sqrt[]{1396}}{4} \\ \end{gathered}[/tex]

There are two solutions for l.

[tex]\begin{gathered} l_1=\frac{6+\sqrt[]{1396}}{4}\approx10.84 \\ l_2=\frac{6-\sqrt[]{1396}}{4}\approx-7.84 \\ \text{ The symbol }\approx\text{ is read 'approximately'.} \end{gathered}[/tex]

Since the value of l can not be negative, the value of l is 10.84.

Step 2: We replace the value of l into any of the equations of the system to find the value of w. For example, in Equation 1.

[tex]\begin{gathered} 170=l\cdot w\Rightarrow\text{ Equation 1} \\ 170=10.84\cdot w \\ \text{ Divide by 10.84 from both sides} \\ \frac{170}{10.84}=\frac{10.84\cdot w}{10.84} \\ 15.68\approx w \end{gathered}[/tex]

Now, the long side, the wide side and the diagonal of the rectangle form a right triangle.

Then, we can use the Pythagorean theorem formula to find the length of the diagonal.

[tex]\begin{gathered} a^2+b^2=c^2 \\ \text{ Where} \\ a\text{ and }b\text{ are the legs} \\ c\text{ is the hypotenuse} \end{gathered}[/tex]

In this case, we have:

[tex]\begin{gathered} a=10.84 \\ b=15.68 \\ a^2+b^2=c^2 \\ (10.84)^2+(15.68)^2=c^2 \\ 117.51+245.86=c^2 \\ 363.37=c^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt[]{363.37}=\sqrt[]{c^2} \\ 19.06=c \end{gathered}[/tex]

Therefore, the length of the diagonal of the given rectangle is 19.06 cm rounded to 2 decimal places.

Find the value of each variable.All answers must be in simplest radical form

Answers

Radical

x = √10 • tan 45° = √10• 1 = √10

then

x= √10

y= √x^2 + 10 = √ 10 +10 = √20

Then answer is

x=√10

y= √20

Please find the square root. Round your answer to the nearest tenth. [tex] \sqrt{58 } = [/tex]

Answers

Determine the square root of 58.

[tex]\begin{gathered} \sqrt[]{58}=7.615 \\ \approx7.6 \end{gathered}[/tex]

So answer is 7.6.

Other Questions
What is the polar form of -9-913 ?09 (cos()+ i sin())O 9 (cos (4T) + i sin (4))O 18 (cos ()+sin())O 18 (cos (4) + i sin (4T))3 The total fixed costs of producing a product is $55,000 and the variable cost is $190 per item. If the company believes they can sell 2,500 items at $245 each, what is thebreak-even point?800 items900 items960 items 1,000 itemsNone of these choices are correct. f a stone is thrown vertically upward from the surface of the moon with a velocity of 10 m/s, its height (in meters) after seconds is . (a) what is the velocity of the stone after 7 seconds? (b) what is the velocity of the stone after it has risen 25 m? Solve. 4 + x/7 = 2Question 3 options:12-144210 What is meaning of liege Why would he react this way masque of the red death Having warm weather all year with a distinct winter and summer season where winter is a long, dry, and slightly cooler season with only 4 inches of rain on average, and summer is a very hot, humid, and wet season with 15 to 25 inches of rain, with monsoon rains beginning in may describes the _______ biome(s). a. rainforest b. savanna and grassland c. deciduous forest d. chaparral please select the best answer from the choices provided a b c d solve p(x+q)^4=r for x which of the following are basic ways for delivering value to customers via a differentiation strategy? multiple select question. incorporating tangible features that improve product performance commanding a premium price and increasing unit sales incorporating intangible features that enhance buyer satisfaction including product attributes and features that lower the buyer's costs Choose one of the following options to show off your creative skills!1. Write a short story.2. Write a poem.3. Create a picture story.Whichever option you choose, be sure it represents the song you chose. The song doesn't have to be original. Just make sure it's appropriate forschool. Don't forget to consider copyright law and give credit to the artist.Submit your creation, the details of the background music you chose, like its title and the artist who performed it, and the answers to thefollowing questions.1. What emotions do you feel as you listen to this music that you chose?2. What elements of your creation show these emotions? Question 3 10 pts When solving an absolute value equation, such as |2x + 51 = 13, it is important to create two equations: 2x + 5= [ Select] and 2.1 + 5 = [Select ] [ Select] Resulting in z = vor [Select] Question 4 5 pts During the reign of Louis XIV, which of the following is true of the nobles of the robe? Select all that apply.Many bought their titles from the state.They frequently inherited their titles through a long line of patriarchal inheritance.The majority bought their titles from the Protestant Church.The Catholic Church had to approve all new nobles of the robe.A significant number inherited their titles from family outside France. A student entering a doctoral program in educational psychology is required to select two courses from the list provided as part of his or her program (a)List all possible two-course selections (b)Comment on the likelihood that you EPR 625 and EPR 686 will be selected The course list EPR 613, EPR 664, EPR 625, EPR 685, EPR 686(a)select all the possible two-course selections belowA. 613, 686B. 625,686C. 613,613,664D. 664,685E. 625,685F. 625,672G. 613,625H. 685,686I. 664,625J 686,686K. 613,613L. 613,685M. 664, 686N. 613,664 A house casts a shadow that is 12 feet tall. A woman who is 5.5 feet tall casts a shadow that is 3 feet tall.What is the height of the house?A. 22 ft.B. 55 ft.C. 5.5 ft.D.220 ft. 3. You draw one card from a standard deck.(a) What is the probability of selecting a king or a queen? (b) What is the probability of selecting a face card or a 10? (c) What is the probability of selecting a spade or a heart? (d) What is the probability of selecting a red card or a black card? #17 - A bin contains 90 batteries (all size C). There are 30 Eveready, 24 Duracell, 20 Sony,10 Panasonic, and 6 Rayovac batteries. What is the probability that the battery selected is aDuracell?0 27.6%0 26.7%24.6%0 29.2% I need help if u need a pic of the graph Ill take a picture of it PROMPT: (1) To infer is the act or process of reaching a conclusion about something from known facts. Detail what can be inferred about the central idea of the text using the title The Danger of a Single Story by defining what a single story is in your own words AND why it is dangerous.How does the author use her personal experiences in the speech to introduce AND develop the main/central idea? Cite and analyze at least TWO examples of textual evidence from the speaker to support your above response. Ary is writing thank you cards to everyone who came to her wedding. It takes her of an hour to write one thank you card. If it took her 8 hours to finish writing all of the cards, how many thank you cards did she write? 48 thank you cards 36 thank you cards 46 thank you cards 40 thank you cards How many roots does x^2-6x+9 have ? It may help to graph the equation.