To make his house more energy-efficient, Ernest is putting solar film on the large trapezoid-shaped window in his living room. The window has an area of 25 square feet. The top of the window is 3 feet long, and the bottom is 7 feet long. Which equation can you use to find how tall the window is, h? 25=h(3+7) 25= 1 2 h(3+7) How tall is the window? Write your answer as a whole number or decimal. Do not round.

Answers

Answer 1

Answer:

25 = 1/2(3 + 7)h

5 feets

Step-by-step explanation:

Given that:

Window shaped in the form of a trapezium :

The length of its bases :

Top of window base = 3 feets

Bottom of window base = 7 feets long

Area of Windom = 25 feets²

Recall :

Area of a trapezium is given by :

Area, A = 1/2(a + b)h

a and b are the bases

h = height

Inputting the Given values into the equation :

25 = 1/2(3 + 7)h

Hence, the height of the window can be Obtian using the expression

25 = 1/2(3 + 7)h

25 = 1/2(10)h

25 = 5h

h = 25 /5

h = 5 feets


Related Questions

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.2 cm and 6 cm. If there are 150 tiles in the mosaic, what is the area of the mosaic?

Answers

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

[tex]A=\dfrac{1}{2}\times Base\times height[/tex]

So, the area of Each right triangular tile is:

[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]

[tex]A=\dfrac{1}{2}\times 31.2[/tex]

[tex]A=15.6[/tex]

There are 150 tiles in the mosaic. So, the area of the mosaic is:

[tex]Area=15.6\times 150[/tex]

[tex]Area=2340[/tex]

Therefore, the total area of the mosaic is 2340 cm ².

Find the vertex of y = 5x² - 4

Answers

Answer: (0,-4)

explanation: write in vertex form and use this form to find the vertex ( h , k )

What are 3 ratios equivalent to 4/8? ​

Answers

Answer:

1/2, 2/4, and 5/10 in ratio terms 1 : 2, 2 : 4, and 5 : 10

How did you apply proportional reasoning as you worked through these problems?

Answers

Answer:

plz mark me as brainliest. :) (use quill bot for paraphrasing!)

Step-by-step explanation:

I applied proportional reasoning as I worked through these problems by using this reasoning to answer all the questions.

Proportional reasoning can be applied by using formal operational reasoning. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.

What is Proportional reasoning?

According to Piaget's model of mental development, "formal operational reasoning," which is learned in the later phases of intellectual development, includes arguments based upon relations of proportionality. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.

Finding missing values is only one aspect of proportional reasoning; it also serves as a lens through which to solve problems and builds crucial groundwork for mathematical thinking. Proportional reasoning can be applied by using formal operational reasoning.

Therefore, proportional reasoning can be applied by using formal operational reasoning.

To know more about proportional reasoning, here:

https://brainly.com/question/28001172

#SPJ3

-5s=−13
solve for s .

Answers

Answer:

The answer is going to be 13/5 or 2.6

Step-by-step explanation:

You are going to need to divide both sides by the constant of -5 in order to get s by itsef. After you divide both sides by -5, you will get -13/-5 which two negatives divided by a positive so it would be 13/5 or if you turn it into an integer, it would be 2.6

URGENT Question HELP FAST!!!!!

Answers

Answer:

8100 cubic ft

Step-by-step explanation:

[tex]v = l \times w \times h \\v = 75 \times 9 \times 12 \\ \\ v = 8100 [/tex]

Answer: 891 feet cubed

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!!!!

Answers

Answer:

A.measure of centre?

measure of spread is Independent variable ie y and dependent variable is x

B.measure canter integers

measure spread is variable x

I hope it helped

Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay

Answers

Answer:  c. during several storms, there were five hours of delay for every eight hours of rain

Step-by-step explanation: i just had this question

 

can you guys tell me if i did anything wrong? asap no links or i will report!!

Answers

Answer:

Yep, im pretty sure everything is good, good job!

Step-by-step explanation:

Complete the table.
Length of side of square
1
2
3
4
5
Perimeter of square
Area of square

Answers

Answer:

Idont know the answer sa susunod nalang

Step-by-step explanation:

area of square=side*side and perimeter of square =4*side...........

now you solve yourself

Round 74,606.4 to the nearest whole number

Answers

Answer:

75000

Step-by-step explanation:


75000 is the answer

Based on a random sample of 500 people, 45 reported they have more than one
dog. Based on these results, how many out of 1,200 people would you expect to
have more than one dog?
A
1,008
B
60
С
165
D
108

Answers

Answer:

I’m guessing 108 or 165

Step-by-step explanation:

because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry

one batch of walnut muffins uses 1 1/3 cups of walnuts how many cups of walnuts are needed to make 3 3/4 batches of muffins

Answers

Answer:

multiply them together

Step-by-step explanation:

Answer:

The answer is 5 cups!

Step-by-step explanation:

since 1 1/3 multiplied by 3 3/4 is 5! <3

whats 1/19x2/19 plsplsplsplsplsplsplsplsplsplspls help me i need help

Answers

Answer:

The answer is 2/361 or in decimal its approximately 0.00554017.

Step-by-step explanation:

Hope this helps

Write an expression equivalent to -3 + 2/3y − 4 −1/3y

Answers

Answer:

1/3y - 7

Step-by-step explanation:

Add the like terms

-3 + (-4) = -7

     and

2/3y + (-1/3y) = 1/3y

Hope this helps :)

Answer:

y= 1/3

Step-by-step explanation:

-3 + [tex]\frac{2}{3y}[/tex] − 4 −[tex]\frac{1}{3y}[/tex]

= -9y +2 - 4y - 1

13y= 1

y= 1/3

where did the student go wrong and what are the correct steps

Answers

Answer:

the second steps was wrong.

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

5x-7x=4+6

-2x=10

x=-5

a submarine was situated 800 feet below sea if it ascends 275 feet what is the new position

Answers

Answer:

-525 feet

Step-by-step explanation:

800 feet below is negative 800 feet ---> -800

-800 + 275 = -525

what is the soultion to the equation 4/6 x — 1/2x = 3/10(x + 4)

Answers

X = -9 I did this by simplifying both sides of the equation then isolating the variable hope this helps!!!

A scale drawing of an American flag is 5 inches long and 3 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?

Answers

Answer: 1 inch:1 feet

Step-by-step explanation:

Since we are informed that the scale drawing of an American flag is 5 inches long and 3 inches tall and the actual flag is 3 feet tall.

To calculate the scale of the drawing, we should note that the height of the drawing is 3 inches tall while the height of the actual flag is 3 feet tall. It simply means that (3/3 = 1 inch represents 1 feet

Exercice 4:
Le cerveau humain est composé de 100 milliards de neurones. À partir de le cerveau humain est composé de 100 milliard de neurones.a partir de 30 ans, ce nombre de neurones baisse
d'environ 100 000 par jour. En considérant qu'une année contient 365 jours, donner l'écriture
décimale puis scientifique du nombre de neurones d'un humain de 40 ans.

Answers

huh english is this spanish !

PLEASE HELP ME I WILL GIVE BRAINLIEST JUST NO LINKS PLS!!

Answers

Answer:b

Step-by-step explanation:

PLZ HELP IM FAILING THIS CLASS

Answers

Answer:

1.D

2. B

Step-by-step explanation:

by inspection that's the answer

I just did cross multiplication and added lcm

but to get the answer you multiply through by -1 (I mean both numerator and denominator)

2. by inspection answer b is the best fit

please help meeeee!!!

Answers

Answer:

C -8

Step-by-step explanation:

Hope it helps :)!!

help pls I need to solve this and I dont know u gave it submit before 11:59 and its 10​

Answers

Answer:

Its the last option GFI and HIK

Step-by-step explanation:

PLEASE HELP ME IM TIMED ON THIS!!!

Which expression is equivalent to the area of square A, in square inches?

1/2 (10)(24)
10(24)
(10+24)^2
10^2+24^2

Answers

Answer:10^2+24^2

Step-by-step explanation:the required expression equivalent to the area of the square A in inches is (10² + 24²).

write down the value of 8^4/3

Answers

Answer:

x = 16

Step-by-step explanation:

Let's break it down

Doing ^4/3 is the same as doing 2^4

(8 = 2*2*2. You add an extra 1/3 which means you multiply by 2 again = 2^4)

So let's write the equation

x=16

If my answer is wrong, pls correct me

If you like my answer and explanation, pls mark me as brainliest

-Chetan K

On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of parallelogram RSTU? 24 square units 26 square units 32 square units 38 square units

Answers

Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of [tex]\overline {TU}[/tex] = The length of [tex]\overline {SR}[/tex] = √((2 - (-4))² + (6 - 4)²) = 2·√10

The height of a parallelogram is perpendicular to its base length = The line [tex]\overline {VT}[/tex]

∴ Where, the slope of the base length = m, the slope of the height = -1/m

The slope, 'm' of [tex]\overline {SR}[/tex] = (6 - 4)/(2 - (-4)) = 1/3

Therefore, the slope of the height = -1/(1/3) = -3

We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;

y - 0 = -3·(x - 0)

∴ y = -3·x

Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of [tex]\overline {SR}[/tex] and [tex]\overline {VT}[/tex]

The equation of the line [tex]\overline {SR}[/tex] in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)

y = x/3 + 4/3 + 4 = x/3 + 16/3

y = x/3 + 16/3

We then have the coordinate at the point 'V' (x, y) is given as follows;

-3·x = x/3 + 16/3

-9·x = x + 16

-10·x = 16

x = -16/10 = -1.6

x = -1.6

∴ y = -3·x = -3 × -1.6 = -4.8

y = 4.8

The coordinate at the point, V = (-1.6, 4.8)

The length of the line [tex]\overline {VT}[/tex] = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

Answer:

Im pretty sure its 32

Step-by-step explanation:

Solve for p. −4.5 + p6= −18.9

Answers

Answer:

-2.4

Step-by-step explanation:

Given data

We have the expression before us as

−4.5 + p6= −18.9

Collect like terms

p6= −18.9+4.5

p6= -14.4

Divide both sides by 6

p= -14.4/6

p=-2.4

Hence the value of p= -2.4

Answer:

That one answer you see below is wrong

Step-by-step explanation:

Thats it

Frank's car is 12 feet long. Alex's car is 108 inches
long. When you line them up one in front of the
other, how long are they together? (Answer in feet)

Answers

Answer:

21 feet

Step-by-step explanation:

108 inches / 12 = 9 feet.

9+12=21 feet

b) Here are the first four terms of another sequence.
6 11 16 21
Write an expression for the nth term of this sequence.

Answers

Answer:

        aₙ = 5n + 1

Step-by-step explanation:

11 - 6 = 5  ,   16 - 11 = 5  ,  21 - 16 = 5

So, it's atithmetic formula with common difference os 5

[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]

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