A trapezoid has base lengths of 20 units and 28 units. The area of the trapezoid is 408 square units. What is the height of the trapezoid?

Answers

Answer 1

Answer:

h = 17 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

Here A = 408, b₁ = 20, b₂ = 28 , then

[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )

48h = 816 ( divide both sides by 48 )

h = 17


Related Questions

What single decimal multiplier would you use to increase by 9% followed by a 6% decrease?

Answers

Answer:

0.9646

Step-by-step explanation:

:)

9646 pretty sure thats right

Which algebraic expression is equivalent to the expression below?

7(6x+2)+5x



A.

11x + 2

B.

42x + 14

C.

47x + 2

D.

47x + 14

Answers

Answer:

D.

Step-by-step explanation:

[tex]7(6x + 2) + 5x \\ 42x + 5x + 14 \\ 47x + 14[/tex]

in PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest tenth.​n​

Answers

If u put a figure it will be more clear

6 out of 18 in a fraction

Answers

Answer:1/3

Step-by-step explanation:1/3 is the simplified fraction for 6/18 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 6/18 by using the prime factorization method.

Answer:

6/18=1/3

Step-by-step explanation:

here so the 6 is common with 18 and so that is 3

This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside

Answers

Answer:

y intercept: 250

slope: -10/3

Step-by-step explanation:

y intercept is where x = 0

slope is found by using the equation (y2 - y1) / (x2 - x1) = (200 - 250) / (15-0) = -50 / 15 = -10 / 3

The y intercept of the scatterplot is 250 sweat shirts and the slope is (10/3)

What is a linear function?

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the number of sweat shirts sold and x represent the temperature.

The y intercept is at (0, 250).

Using point (0, 250) and (15, 200):

Slope = (200 - 250) / (15 - 0) = 10/3

The y intercept of the scatterplot is 250 sweat shirts and the slope is (10/3)

Find out more on linear function at: https://brainly.com/question/2972832

Eloise is creating a game for her Strategic Games option.
Her square game board will have 64 squares on the inside and a decorative border around the outside edge.
What is the length of the border?
What assumptions can you make?

Answers

I am 99% sure.
64 square would suggest that sides of square are 8 “units”.
A=a^2
64=8•8
If decorative border is all around square (1 “unit”) that would make a length of a border: 8•2+10•2=16+20+36.
Good luck.

Shelly's age plus Mary's age is less than 36. Mary is 15 years old. Write the equation thatrepresents the problem.

Answers

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

S < 21

Giving brainlist to whoever answers this question

Answers

Answer:3x +56

Step-by-step explanation:

Plz help
A rock climber makes several changes in position while attempting to scale a
cliff face. She ascends 15 feet, descends 7 feet, ascends 22 feet, descends
13 feet, and then ascends another 28 feet. What is her mean change in
position?

Answers

Answer:

80

Step-by-step explanation:

5/8 = x/6

All them numbers are fractions
Find X

Answers

Answer:

x = 3.75

Step-by-step explanation:

You need to cross multiply.

First multiply 6 and 5, then divide that by 8.

Good Luck!!

Answer:

Step-by-step explanation:

  hello :

5/8 = x/6  means  :  8x = 30

x = 30/8

What percent is represented by the shaded portion on this 10 × 10 grid?

A grid model has 100 squares. 76 squares are shaded.
StartFraction 7.5 Over 100 EndFraction percent
StartFraction 75 Over 100 EndFraction percent
7.5%
75%

Answers

Answer:

76%

Step-by-step explanation:

76 out of 100 is equal to 76%. This is the answer

Answer:

people are saying its b but maybe its d

Step-by-step explanation:

Fill in the blank to complete the equation below.

___ + 15
= 3(8 + 5)

Answers

Answer:

the answer is 24.

Step-by-step explanation:

Solve 3(8+5) first then once you get that subtract 15 from the answer you got.

Math question pls help

Answers

Answer:

170 pages

Step-by-step explanation:

An amount was decreased by 8%. The new amount is $27.60. What was the original amount?​

Answers

Answer:

$30.00

Step-by-step explanation:

$27.60/0.92 = $30.00

Answer:

$30

Step-by-step explanation:

92% = $27.60

1% = $27.60/92

100% $27.60/92 x 100

100% = $30

NOTE: The / is a fraction

Hope this helps!

can someone help me with this

Answers

Answer:

29

Step-by-step explanation:

A carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go on at the carnival?

Answers

Answer:

11.5

Step-by-step explanation:

You divide 2 and 23

But I am not sure

Answer: 9 rides

Step-by-step explanation:

23 dollars minus the five dollars to enter is $18.

$18 is divided by the $2 required to ride each ride.

Hello can anyone give me the full answer to this? will give brainiest

Answers

Part 1: 3 forms a right traingle; the rest do not.

Part 2:

7) 8.94

8) 6.71

9) 12.21

10) 7.62

11) 7.28

12) 6.32

Find the value of x (helppppppppppppoppppppp)

Answers

x=121
.......... ... . ......

which point is not on the graph of y =2x + 3?

Answers

Answer:

i'm pretty sure its D

Step-by-step explanation:

if you make a graph yourself you'll see all the rel;relationship match except for d

what is 71% of 903.23m, give the answer rounded to 2 dp​

Answers

Answer:

641.29

Step-by-step explanation:

100% = 903.23

1% = 903.23 ÷ 100 = 9.0323

71% = 9.0323 x 71 = 641.2933

Rounded to 2 decimal places =

641.2933 = 641.29

Answer:

641.29 m

Step-by-step explanation:

Convert "71%" to the decimal fraction 0.71.  

Then multiply 903.23 m by this 0.71:

641.29 m

1. The vertical fence posts are 5 feet tall. The diagonal pieces are 9 feet. How far
apart should the fence posts be placed?

Answers

Answer:

Distance between fence and diagonal piece = 7.48 feet (Approx.)

Step-by-step explanation:

Given:

Vertical fence height = 5 feet

Length of diagonal piece = 9 feet

Find:

Distance between fence and diagonal piece

Computation:

Using trigonometry theorem;

Base = √Hypotenuse² - Perpendicular²

Distance between fence and diagonal piece = √Length of diagonal piece² - Vertical fence height²

Distance between fence and diagonal piece = √9² - 5²

Distance between fence and diagonal piece = √81 - 25

Distance between fence and diagonal piece = √56

Distance between fence and diagonal piece = 7.48 feet (Approx.)

HELP !!!! what is the coordinate of the vertex of the following parabola: -8(x-5)=(y+1)^2

a. (-5, 1)
b. (5, -1)
c. (5, 1)
d. (-8, 1)

Answers

what is the coordinate of the vertex for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (5, -1)

what is the coordinate of the focus for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (3, -1)

The vertex of the equation of a parabola [tex]- 8 (x - 5) = (y + 1)^2[/tex] by compared with the standard form of the equation of a parabola [tex]x = a (y - k)^2 + h[/tex] is,

⇒ (h, k) = (5, - 1)

Where, [tex](h, k)[/tex] is the vertex of the parabola.

We have to give that,

The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

The standard form of the equation of a parabola is,

[tex]x = a (y - k)^2 + h[/tex]

Where, [tex](h, k)[/tex] is the vertex of the parabola.

Here, The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

It can be written as,

[tex](x - 5) = \frac{(y + 1)^2}{-8}[/tex]

Add 5 on both sides,

[tex]x = \frac{(y + 1)^2}{-8} + 5[/tex]

Now, compare with the standard form of the equation of a parabola,

h = 5

k = - 1

Therefore, the vertex of the parabola is, (5, - 1).

To learn more about parabolas visit:

https://brainly.com/question/29635857

#SPJ4

Answer and explain how you gotttt it please

Answers

Answer:

x= 17

Step-by-step explanation:

5x-7=3x+27

move 3x to other side by doing the oppostie (subtracting 3x)

5x-7-3x=27

2x-7=27

move -7 to other side by adding it (to the other side)

2x= 7+27

2x= 34

divide by 2 (on both sides) to get x by itself

2x/2=34/2

x= 17


help please, don’t understand this.

Answers

Answer:

c

Step-by-step explanation:

a random selection of indoors and outdoors pool managers are surveyed about the number of people in each age group that swim there. results from the survey are displayed in the two way table. based on the data, does there appear to be an association between pool type and age group? explain your reasoning​

Answers

Answer:

Step-by-step explanation:

Based on the data shown, there seems to be a very small association between age and pool type. Younger individuals seem to mainly prefer outdoor pools. Older individuals seem to still prefer outdoor pool but with a large percentage of that group preferring indoor pools, roughly 46%. This can be due to many reasons such as warmer temperatures in indoor pools, but there is not enough information to determine the reasoning.

Which two teams have equivalent
100
ratios of wins to losses?
Team Wins Losses
Leopards
15
10
Pirates
12
8
Knights
14
7
Lions
18
10

Answers

knights!sorry mate i’m kinda trash

Answer:

knights and leopards

Step-by-step explanation

Giving brainlist to whoever answers this question

Answers

Answer:

thanks :)

Step-by-step explanation:

the table shows the number of cups of water required when cooking different amounts of rice​

Answers

Please explain more your question

help me out plz it’s due rn

Answers

Answer:

x= square root (10); x=-square root (10) or 3.16 and -3.16

Step-by-step explanation:

Five ice cream parlors out of 10 ice cream parlors were chosen to check the taste of

their ice cream. Find the population size.

Answers

Answer:

no answer.

Step-by-step explanation:

you showed 1 part of the question, add more please.

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