1. If SW = 25 and ST = 24, find the area of rectangle RSTW.

2. If SZ = 25 and WT = 14, what is ST?

1. If SW = 25 And ST = 24, Find The Area Of Rectangle RSTW. 2. If SZ = 25 And WT = 14, What Is ST?

Answers

Answer 1

1. Using the Pythagoras theorem, the area of the rectangle RSTW is 168 units².

2. Using the Pythagoras theorem, the measure of line segment ST is 48 units.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

The diagonal SW measures = 25 units

The breadth ST measures = 24 units.

Applying the Pythagoras theorem -

(Hypotenuse)² = (Base)² + (Perpendicular)²

Substituting the values in the equation -

(SW)² = (ST)² + (WT)²

(25)² = (24)² + (WT)²

(WT)² = (25)² - (24)²

(WT)² = 625 - 576

(WT)² = 49

WT = √49

WT = 7 units

The length WT measures = 7 units

The formula for the area of the rectangle is -

Area = Length × Breadth

Area = WT × ST

Area = 7 × 24

Area = 168 units²

Therefore, the area of the rectangle is obtained as 168 units².

The line segment SZ measures = 25 units

According to the properties of rectangle the diagonals bisect each other.

So, the measure of SW = 2(SZ) = 50 units

The length WT measures = 14 units

Applying the Pythagoras theorem -

(Hypotenuse)² = (Base)² + (Perpendicular)²

Substituting the values in the equation -

(SW)² = (ST)² + (WT)²

(50)² = (ST)² + (14)²

(ST)² = (50)² - (14)²

(ST)² = 2500 - 196

(ST)² = 2304

ST = √2304

ST = 48 units

Therefore, the breadth ST measures = 48 units.

To learn more about Pythagoras Theorem from the given link

https://brainly.com/question/21970437

#SPJ1


Related Questions

Kimiyo earns a weekly salary of $675 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?

Answers

Kimiyo would make $987 in a work week if she sold $4,800 worth of merchandise.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Kimiyo earns a weekly salary of $675 plus a 6.5% commission on sales at a gift shop.

She sold $4,800 worth of merchandise.

That means,

the commissioned amount = 4800 x 6.5 /100

The commissioned amount = $312

In a week,

Kimiyo's total earning is,

= $675 + $312

= $987

Therefore, $987 is the total salary.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ1

What is 0.55 times 20.1?
(With work pls)

Answers

Answer:

0.55 times 20.1 is equal to 11.055

Step-by-step explanation:

To show work, we can simply multiply 0.55 by 20.1 using long multiplication.

0.55

20.1

0.55

+11.05

11.055

So 0.55 times 20.1 is equal to 11.055

please solve quickly! (15 points)

Answers

Answer:

Step-by-step explanation:

36

(

x

+

3

)

2

(

x

3

)

2

The lowest commondenominator is
(X-3)^2(x+3)^2
So we get
(X+3)^2 - 2(x^2-9)+(x-3)^2 / (x-3)^2)(x+3)^2
= x^2 +6x+9-2x^2+18+x^2-6x+9 / (x-3)^2(x+3)^2
= 36/(x-3)^2(x+3)^2

find the area under the normal distribution curve whose mean is and whose standard deviation is using the given value for as a boundary.

Answers

The area under the normal curve with a mean of 20 and a standard deviation of 5 is 0.8413 when x = 25.

The area under the normal distribution curve is calculated using the z-score, which is the number of standard deviations a value is from the mean. To calculate the area under the normal curve for a given mean and standard deviation, one must use the formula:

Area = ½[1 + erf(z)]

Where erf is the Gaussian error function, and z is the z-score.

To calculate the area under the curve given a boundary x, the z-score must be calculated first. This is done using the formula:

z = (x - mean) / standard deviation

Substituting this into the formula above gives:

Area = ½[1 + erf((x - mean) / standard deviation)]

For example, if the mean is 20 and the standard deviation is 5, and the boundary value is x = 25, the area under the normal curve is calculated as follows:

z = (25 - 20) / 5 = 1

Area = ½[1 + erf(1)] = 0.8413

Therefore, the area under the normal curve with a mean of 20 and a standard deviation of 5 is 0.8413 when x = 25.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

given that we assume that all numbers are distinct, explain why it is without loss of generality to assume that a > d

Answers

Since it has no impact on the result or solution of the problem, assuming that a > d does not reduce the generality of the statement. If a > d, the issue can be solved by simply swapping the values of a and d.

It makes no difference to the problem whether an is more or less than d because we are presuming that each integer is distinct. Furthermore, by supposing that a > d, the problem's variables can be arranged consistently, making it simpler to comprehend and resolve. As a result, making the assumption that a > d does not reduce the generality of the solution because the problem remains the same and the assumption may be readily changed if necessary.

To learn more about distinct numbers:

https://brainly.com/question/16971213

#SPJ4

Using the theory vectors, find all possible fourth corners to parallelograms that have vertices (1,1), (4,2), and (1,3)

Answers

So, the possible fourth corners are (4,4) and (-2,2).

Given the three vertices of a parallelogram (1,1), (4,2), and (1,3), we can use vector algebra to find the fourth corner. We know that opposite sides of a parallelogram are parallel, and therefore have the same vector direction. We can use this property to find the vector pointing from one corner to another and then use this vector to find the fourth corner.

One possible method is:

Find the vector pointing from (1,1) to (4,2) by subtracting the coordinates of the first point from the coordinates of the second point: (4,2) - (1,1) = (3,1)Find the fourth corner by adding this vector to the third point: (1,3) + (3,1) = (4,4)

Another possible method is:

Find the vector pointing from (4,2) to (1,3) by subtracting the coordinates of the second point from the coordinates of the third point: (1,3) - (4,2) = (-3,1)Find the fourth corner by adding this vector to the first point: (1,1) + (-3,1) = (-2,2)

So, the possible fourth corners are (4,4) and (-2,2).

To learn more about Parallelogram

Visit; brainly.com/question/29147156

#SPJ4

QUICK!!! WHAT IS -2 2/5 times -1/3
(Please show work)

Answers

-2 2/5 x -1/3

-2 2/5 = -12/5 x -1/3
= 4/5

the answer is 4/5 or 0.8 in decimal form if you need it

in the x y coordinate plane, which of the following points must lie on kx + 3y + 6 if k = -1/2 ​

Answers

Answer:

honestly, I got no idea. I can tell you though - go us Desmos kid. it'll help you more than any person in this platform.

don't thank me

Step-by-step explanation:

Desmos

use Desmos

Tyrone put 1/3 teaspoon of salt in a batch of cookie dough. He thought that might not been enough salt, so he added another 1/4 teaspoon. How much salt did Tyrone use in total?

Answers

Answer:

7/12 of salt.

1/4 + 1/3 =

1/3 + 1/4 =

4/12 + 3/12 = 7/12.

Step-by-step explanation:

Hope it helps! =D

Tarmu run 30 min and burned 170 calories. Write an equation that represents the number of calories,c, burned per min

Answers

c=170/30 is the equation that represents the number of calories,c, burned per min.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that Tarmu run 30 min and burned 170 calories

We need to find the equation that represents the number of calories, c, burned per min.

To find the calories burned in each minute we have to divide one hundred seventy by thirty.

c=170/30

c=5.66 cal/min

Hence, c=170/30 is the equation that represents the number of calories,c, burned per min.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1

a movie theater has 7 shows a day 4 days per week and 11 shows a day 2 days per week together how many shows in 6 days

Answers

The movie theater will have 50 shows in 6 days

To find the total number of shows in 6 days, we need to calculate the number of shows for each type of day (4 days per week with 7 shows per day and 2 days per week with 11 shows per day) and then add them together.

First, let's calculate the number of shows for the 4 days per week with 7 shows per day:

4 days per week x 7 shows per day = 28 shows per week

Next, let's calculate the number of shows for the 2 days per week with 11 shows per day:

2 days per week x 11 shows per day = 22 shows per week

Now, we can add the number of shows for each type of day together to find the total number of shows in 6 days:

28 shows per week + 22 shows per week = 50 shows in 6 days

We used multiplication to calculate the number of shows per week for each type of day (by multiplying the number of days by the number of shows per day) and then added the two results together to find the total number of shows in 6 days.

To learn more about multiplication, visit:

brainly.com/question/23536361

#SPJ4

Dr. Leona Williams, a well-known plastic surgeon, has a reputation for being one of the best surgeons for reconstructive nose surgery. Dr. Williams enjoys a rather substantial degree of market power in this market. She has estimated demand for her work to be: Q = 480 – 0.2P where Q is the number of nose operations performed monthly and P is the price of a nose operation. What is the inverse demand function for Dr. Williams’ services? What is the marginal revenue function? The average variable cost function for reconstructive nose surgery is estimated to be:
AVC = 2Q2 – 15Q + 400
where AVC is the average variable cost (measured in dollars), and Q is the number of operations per month. The doctor’s fixed cost per month is $8,000. If the doctor wishes to maximize her profit, how many nose operations should she perform each month? What price should Dr. Williams charge to perform a nose operation? How much profit does she earn each month?

Answers

We can conclude that -

The inverse demand function for Dr. Williams’ services is -

        Q = 5(280 - P)

For maximum profit, she should perform 4 operations.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a story of Dr. Leona Williams who is a well-known plastic surgeon.

{ 1 } -

Dr. Williams estimated demand for her work is -

Q = 280 - 0.2P

Inverse of a function can be calculated by following the steps mentioned below -

Step 1 -  Replace 'y' with 'x' and vice - versa.Step 2 - Rewrite the equation by solving for 'y'.Step 3 - Replace 'y' with f⁻¹(x).

So, we can write -

P = 280 - 0.2Q

P - 280 = - 0.2Q

- (280 - P) = - 0.2Q

(280 - P) = 0.2Q

Q = (280 - P)/0.2

Q = 5(280 - P)

{ 2 } -

The average variable cost function for reconstructive nose surgery is -

AVC = 2Q² – 15Q + 400

Let AVC = A{Q}

For maximum profit -

d/dQ (A{Q}) = 0

d/dQ (2Q² – 15Q + 400) = 0

d/dQ (2Q²) - d/dQ (15Q) + d/dQ (400) = 0

4Q - 15 = 0

4Q = 15

4Q = 15

Q = 3.7

Q = 4 {approx.}

Therefore, we can conclude that -

The inverse demand function for Dr. Williams’ services is -

        Q = 5(280 - P)

For maximum profit, she should perform 4 operations.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

A bakery used 30% more sugar this month than last month.If the bakery used 560 kilograms of sugar lost month,how much did it use this month?

Answers

728 kilograms of sugar is used in this month.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a bakery used 30% more sugar this month than last month.

Let us convert 30% to decimal.

Divide 30 by 100

30/100=0.3

the bakery used 560 kilograms of sugar last month we have to find the amount of sugar used this month.

Now multiply 30% of 560

0.3×560

168.

So now 560+168=728 is the amount of sugar used this month.

Hence, 728 kilograms of sugar is used in this month.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

ow many ways can you select 7 cookies to buy from a bakery that sells cookies of 3 different flavors (oatmeal, chocolate chip, almond)? we assume that more than 7 cookies are displayed for each flavor. for example, one way is to choose 7 chocolate chip cookies

Answers

There are 2187 combinations to select 7 cookies from a bakery that sells cookies of 3 different flavors (oatmeal, chocolate chip, almond).

When selecting 7 cookies from a bakery that sells 3 different flavors, each cookie selected can be one of the 3 different flavors. This means that for the first cookie, there are 3 choices, for the second cookie, there are also 3 choices, and so on for the 7th cookie. This is known as the combinations formula and it can be represented as 3 x 3 x 3 x ... x 3 (3 being repeated 7 times).

Using the 3⁷ formula, we can calculate that there are 2187 ways to select 7 cookies from a bakery that sells cookies of 3 different flavors. This means that there are 2187 unique combinations of cookies that can be selected, assuming that more than 7 cookies are available for each flavor.

To learn more about combinations visit: https://brainly.com/question/2280043

#SPJ4

Your question seems incomplete, but I assume the question was:

"How many ways can you select 7 cookies to buy from a bakery that sells cookies of 3 different flavors (oatmeal, chocolate chip, almond)? We assume that more than 7 cookies are displayed for each flavor. For example, one way is to choose 7 chocolate chip cookies."

Can someone explain to me why the answer is 90 and not 1080? I think it has to do with the inches and ft. But I don’t remember how you solve it.

Answers

Answer:

You are correct

Step-by-step explanation:

You are correct sir. They want the answer in feet, so everything on that triangle has to be converted into feet.

There are 12 inches in a foot. If we do 108/12 we get 9 feet.

32.- The high costs of the California real estate market have caused families who cannot afford to buy larger houses to consider backyard sheds as an expansion option. Many are using their patio structures to build their studios, art rooms, and hobby areas, as well as for additional storage. The median price for a custom-built backyard clapboard frame is $3,100 (Newsweek, September 29, 2003). Assume that the standard deviation is $1,200.

A)¿Cuál es el valor z para una estructura de patio trasero que cuesta $2 300?

b) ¿Cuál es el valor z para una estructura que cuesta $4 900?

C) Interprete los valores z en los incisos a) y b). Comente si alguna debe considerarse una observación atípica.

D) El artículo de Newsweek describió una combinación de oficina en el cobertizo del patio trasero construida con $13 000 en Albany, California. ¿Esta estructura debe considerarse una observación atípica? Explique por qué.

Answers

a) The z-score for a structure costing $2,300 is given as follows: -0.67.

b) The z-score for a structure costing $4,900 is given as follows: 1.5.

c) The interpretation of each z-score is given as follows:

A structure costing $2,300 has the price 0.67 standard deviations below the mean, and the cost is not unusual.A structure costing $4,900 has the price 1.5 standard deviations above the mean, and the cost is not unusual.

d) The structure would have an unusual price, as the z-score has an absolute value greater than 2.

How to obtain the z-scores?

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.A mesure X is considered unusual if the z-score has an absolute value greater than 2.

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 3100, \sigma = 1200[/tex]

For item a, the z-score is then given as follows:

Z = (2300 - 3100)/1200

Z = -0.67.

For item b, the z-score is then given as follows:

Z = (4900 - 3100)/1200

Z = 1.5.

For the price of $13,000, the z-score is given as follows:

Z = (13000 - 3100)/1200

Z = 8.25.

More can be learned about z-scores at https://brainly.com/question/25800303

#SPJ1

A line passes through the point(-8, -9) and has a slope of Write an equation in slope-intercept form for this line. -5/4​

Answers

Answer:

y = (-5/4)x - 19

Step-by-step explanation:

Given information,

Slope(m) = -5/4

→ Point = (-8, -9)

→ y-intercept = b

The slope-intercept form is,

→ y = mx + b

Now the y-intercept will be,

→ y = mx + b

→ -9 = (-5/4)(-8) + b

→ -9 = 10 + b

→ b = -9 - 10

→ [ b = -19 ]

Then the required equation is,

→ y = mx + b

→ [ y = (-5/4)x - 19 ]

Hence, this is the equation.

Please help!!

Find the third, fourth, and tenth terms of the sequence described by the rule.
A(n) - 3+ (n-1)(5)
A(3)=
A(4)=
A(10)=

Answers

Answer:

A(3) = 13

A(4) = 18

A(10) = 48

Step-by-step explanation:

This seems like a plug and play.

Starting with A(3). Everywhere you see an n, you'll replace it with a 3, as follows;

3 + (3-1)(5) = ?

We'll solve it step by step. First is 3-1. That's 2, bringing it to

3 + (2)(5).

2 times 5 is 10, bringing it to

3 + 10.

3 + 10 = 13, which concludes

A(3) = 13.

Now doing it for the remaining 2.

3 + (4-1)(5)

3 + (3)(5)

3 + 15

A(4) = 18

Last one...

3 + (10-1)(5)

3 + (9)(5)

3 + 45

A(10) = 48

Find the plane determined by the intersecting lines.
L1 x= -1 + 3t y = 2+2t z=1-t
L2 x=1-4s y=1+2s z=2-2s

Answers

In a plane, intersecting lines are any two or more lines that cross each other. The point of intersection is the common point shared by all intersecting lines.

What are Intersecting Lines?In a plane, intersecting lines are those that cross one another three times or more. The point of intersection is the shared location between all intersecting lines that exists on all intersecting lines.Point O represents the point of intersection where lines P and Q meet in this instance.Specifications of intersecting linesWhen two or more lines intersect, they always do so at the same location.Any angle may be used to intersect the lines. Always more than 0° and less than 180° is the angle that is generated.Vertical angles are created by two intersecting lines. There is a common vertex between the opposing vertical angles (which is the point of intersection).Vertical angles a and c are equivalent in this case. Additionally, b and d have equal vertical angles and are vertical angles.A plus D equals a straight angle of 180 degrees.

To Learn more About   intersecting lines refer To:

https://brainly.com/question/2065148

#SPJ1

6-7 Collisions and Explosions (1-D)
1. A flatcar with mass M, traveling at speed v, collides with and couples to a parked
boxcar. They move off together with a speed of 1/3 v. What is the mass of the boxcar?

Answers

They move off together with a speed of 1/3 v,The mass of the boxcar is m/3 (V₁ - V₂)².

What is mass?

A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.

in Kinetic energy 4 system, the

K = Kf-Ki

K = 1 (Mcar + Mtruck) Vp ² + mcarv₁_ J 2 2 + Mtruck V2 2 2

K = +(m+2m) (V₁+2√2)² +mv₁² - 1 x 2m v₂ ² 2 2 9

K m (v, ² + 4 √₂ ² + AV₁ V2 ) - { mv, ² - tn v₂ 2 2 6

K = m (V₁²+ 4V₂² + 4 V₁ V2 -1/3V, ² - 6V, ²) /6.

K = m/6 (4V₁V2.-2V₁2-2√22)

k = + m/3 (V₁ - V₂)²

They move off together with a speed of 1/3 v, The mass of the boxcar is m/3 (V₁ - V₂)².

To learn more about mass refer to:

https://brainly.com/question/28021242

#SPJ1

Which group cannot form 8 lines with an equal number of members in each line? A. 881 B. 440 C. 353 D. 224

Answers

Answer:

A. 881

C. 353

Step-by-step explanation:

In order to form 8 lines with each line having equal length, the total number of members has to be divisible by 8:

440/8 = 55, so 440 isn't the answer

224/8 = 28, so 224 isn't the answer

881/8 = 110.125. In addition, even numbers can't be divided evenly by odd numbers like 881, so A. 881 is the answer.

Same goes to 353 since 353 is also an odd number that can't evenly divide the even number 8. Hence, C. 353 is the answer as well.

What is the equation of the line that passes through the point (8, 4) and has a slope
of o?

Answers

The equation of the line passing through the point (8, 4) and having a slope of 0 is y = 4.

What is the slope intercept?

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

The line passing through the point (8, 4) and having a slope of 0 is a horizontal line which is parallel to the x-axis. The slope (m) of this line is 0.

The point-slope form of this line would be:

(y - 4) = 0(x - 8)

Simplifying this, we get:

y = 4

Hence, the equation of the line passing through the point (8, 4) and having a slope of 0 is y = 4.

To learn more about slope intercept, Visit

https://brainly.com/question/1884491

#SPJ1

You and your family go to dinner at a local restaurant in Rexburg, Idaho and your online banking report shows that the total dinner bill (food, tax, and tip) was for $42. Suppose that you did not keep your receipt, but you remember you paid a 20% tip for the service.



What was your bill (food and tax) prior to calculating the tip? (tip was paid on the total of food and tax)

$
Number


(Round your answer to the nearest cent.)

Answers

To calculate the bill (food and tax) prior to calculating the tip, we can use the following equation:

bill (food and tax) = total bill (food, tax, and tip) / 1.2

We know that the total bill was $42 and the tip was 20%, so we can substitute those values into the equation:

bill (food and tax) = 42 / 1.2

To solve for bill (food and tax), we divide 42 by 1.2:

bill (food and tax) = $35

So the bill (food and tax) prior to calculating the tip was $35.

If the coordinates of a quadrilateral composed in the first quadrant of the coordinate plane are (0,0), (a,b), (a+c,b), and (c,0), which is the most accurate classification of the quadrilateral?
a. trapezoid
b. rectangle
c. parallelogram
d. square

Answers

the opposite sides of the quadrilateral PQRS are equal and parallel and so PQRS is a PARALLELOGRAM.

Option (C) is CORRECT.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, that the coordinates of the vertices of a  quadrilateral composed in the first quadrant of the coordinate plane are (0,0) (a, b), (a + c, b), and (c, 0).

We are to select the most accurate classification of the quadrilateral.

Let the coordinates of the vertices of the quadrilateral be P(0,0), Q(a, b), R(a + c, b), and S(c, 0).

The lengths of the sides are calculated using the distance formula as follows :

PQ = √(a² + b²)

QR = √(a +c -a)² + (b-b)² = √c² = c

RS =  √(a² + b²)

SP = c

So, the opposite sides are equal in length.

And, the slopes of the sides are calculated as follows :

The slope of PQ(m₁) = (b-0)/(a-0)

The slope of QR(m₂) = (b-b)/(c-a-c) = 0

The slope of RS(m₃) = 0-b/(c-a-c) = 0

The slope of SP(m₄) = (0-0)/(0-c) = 0

So, the slopes of the opposite sides are equal but:

m₁ *m₂ = 0 ≠ -1

m₃ *m₄ = 0 ≠ -1

Therefore, the opposite sides of the quadrilateral PQRS are equal and parallel and so PQRS is a PARALLELOGRAM.

Option (C) is CORRECT.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ1

Find the measure of the angle. Round to the nearest degree

Answers

Answer:

59.036

Step-by-step explanation:

tanΘ = opposite/adjacent

Θ =tan⁻¹(opposite/adjacent)

tan⁻¹(10/6) - 59.03624347

Chapter 6
Lesson 2 skills practice numerical expressions

Answers

The Numerical Expressions answers are shown below:

What is Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

1. 7-6+ 5

= 7 -1

= 6

So, the value of 7-6+ 5 is 6.

2. 31 +19 -8

= 31 + 11

= 42

So, the value of 31 +19 -8 is 42.

3. 64-8+21

= 56 + 21

= 77

So, the value of 64-8+21 is 77.

4. 17+34-2

= 51-2

= 49

So, the value of 17+34-2 is 49.

5. 28+ 89 -67

= 117-67

= 50

So, the value of 28+ 89 -67 is 50.

6. (8+1) x 12- 13

= 9 x 12 -13

= 108 - 13

= 95

So, the value of (8+1) x 12- 13 is 95.

7. 63/9 +8

= 7 +8

= 18

So, the value of 63/9 +8  is 18.

8. 5 x 6 -(9-4)

= 5x 6 - 5

= 30- 5

= 25

So, the value of 5 x 6 -(9-4)  is 25.

9. 13x 4 -72 /8

= 13 x 4 - 9

= 52- 9

= 43

So, the value of 13x 4 -72 /8  is 43.

10. 16/2 + 8 x 3

= 8 + 8 x 3

= 8+24

= 32

So, the value of 16/2 + 8 x 3  is 32.

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ1

please help will mark BRAINLIEST ​

Answers

The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°

What exactly is the degree formula?

Yes, we can use the radian-to-degree formula to convert a negative radian to a degree. Degrees = Radians 180 / is the formula, and it may be used for both positive and negative values. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees).

These are referred to as parallels. A circle of latitude is an imaginary ring that connects all places that share a parallel. The Equator is the 0 degree latitude line. Each parallel is one degree north or south of the Equator, with 90 degrees north and 90 degrees south respectively.

Hence, The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°

To learn more about degrees visit,

https://brainly.com/question/12862350

#SPJ1

A piece of material measures 38 inches. Courtney cuts the piece of material into two pieces. One piece measures 19 inches. Write an addition equation that could be used to find the length, m, of the other piece of material.

Answers

Answer:

As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.

19+m=38

If you want to solve the equation, just subtract 19 from both sides.

19+m=38

m=19

vertex to standard form

Answers

The quadratic function y = 7(x + 1)² + 1 in standard form is y = 7x² + 14x + 2.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

The given quadratic function is -

y = 7(x + 1)² + 1

Solve the equation to get the standard form.

First solve using the formula (a + b)² = (a² + 2ab + b²) -

y = 7(x + 1)² + 1

y = 7(x² + 2x + 1) + 1

Now, open the brackets -

y = 7x² + 14x + 1 + 1

Now, add the like terms -

y = 7x² + 14x + 2

Therefore, the value is obtained as 7x² + 14x + 2.

To learn more about quadratic function from the given link

https://brainly.com/question/25841119

#SPJ1

An aspiring figure skater named Anthonia has been working on her triple axel jump. She lands it 33.33% on average. Her competition, Zahra, has also been working on her triple axel jump averaging 45% of successful lands. If both are competing at the same event, what is the probability that Anthonia will land her jump and Zahra will not land her axel jump?

Answers

If Anthonia and Zahra compete at the same event, the probability that Anthonia will successfully land her jump and Zahra will not land hers is 18.33%.

What is the probability?

We describe probability as the chance or likelihood that an expected event occurs when there are many possible outcomes.

Probability lies between one and zero when it is not 100% certain or uncertain.

The probability that Anthonia lands her triple axel jump = 33.33%

The chance that Anthonia does not land her jump = 66.67% (1 - 33.33%)

The likelihood of Zahra landing her jump successfully = 45%

The odds that Zahra will not successfully land her jump = 55% (1 - 45%)

The probability that Anthonia lands successfully while Zahra does not = 18.33% (33.33% x 55%)

Thus, Anthonia has the chance of winning Zahra at 18.33%.

Learn more about the probability at https://brainly.com/question/13604758

#SPJ1

Other Questions
Find all solutions to the equation (x - 1)^2 = -4 congressman thomas objects to many cases handed down by the supreme court. he says that the courts should fit their decisions to the precise words and meaning of the constitution. he is advocating a judicial philosophy of when faced with a situation that suggests two clear alternative ways forward, we often consider only those two clear paths, missing the fact that other alternatives might be possible. considering limited alternatives is a stumbling block to responsible action that can be categorized as a(n) . multiple choice perceptual barrier personality barrier cognitive barrier individuality barrier Briefly explain the three lines of evidence for the Earth's relative age. Write your answer in the essay box below.WILL GIVE BRAINLIEST Complete each sentence with the appropriate form of the adjective. one of the beliefs of african traditional religions is that ancestors are able to return to the earth through SARYou are in charge of an upcoming photo shoot for a product catalog. The catalog will show all the different products that are being soldto raise money for a school club. You will need a cover shot with people in it and shots of the products for the inside pages. For thisproject, select which product you will be doing the photo shoot for and what shots you will need. Discuss the size and the compositionof each shot you need. What product or products will you be shooting?What size and composition will you use for each shot?. Where will you shoot each of the photos? Will some shots need a solid background to make cutting out the background easier? Which of the following will you need, and why?a location permito modelso release formso assistants4o studio space. lightingo other equipmentGive as much detail as possible for your photo shoot plan and make sure to answer all the questions above. This lobe integrates information from the rest of the cortex to support problem solving, decision making, and motor function Given the DNA strand below, what mRNA strand would it produce?T-T-A-C-G-G-C-T-A-A-C-T(please put a dash between bases in the same manner as seen above) Tuesdays With Morrie: What does Morrie's father do that could be considered a terrible betrayal? a monopolistically competitive industry has many firms that sell differentiated products. group of answer choices true false A force of 90n is applied to each cart below which one will accelerate the fastest understanding a work of art based on who made it, the society that interacted with it, and its original function is known as according to the lecture, what are some reasons that a western developmental history (which privileges europe and later the us) is problematic? please helppppppppppppppppppppppp Use each of the following adverbs of intesity in each sentence 1perfectly2tremedously3fantastically4seriously5 simply Which et of condition would promote the greatet temperature change from unrie to mid-afternoon? If the Earth's sideways velocity could be suddenly stopped to zero, how would Earth move? Group of answer choices More information is needed to answer this question It would fall directly into the sun It would continue to orbit as before It would fly off into space Which of the following attributes is common to both prokaryotic cells and eukaryotic cells?a. membrane-enclosed organellesb. a membrane-enclosed nucleusc. the use of DNA as the information storage moleculed. the use of proteins as information storage molecules which of these alternatives is the best choice for the denominator of the overhead rate for anagene? group of answer choices projected production volume average prior production volume practical capacity of the entire production process practical capacity of each step in the production process