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

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

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:

please help meeeee!!!

Answers

Answer:

C -8

Step-by-step explanation:

Hope it 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

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]

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

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

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:

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

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).

Round 74,606.4 to the nearest whole number

Answers

Answer:

75000

Step-by-step explanation:


75000 is the answer

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

 

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

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 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!!!

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:

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.

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 !

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

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

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

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

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

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

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

-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

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

Answers

Answer:b

Step-by-step explanation:

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

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:

Other Questions
which of the following are characteristics of Christianity? roots in Judaism monotheistic roots and Islam polytheistic life after death QUESTION 1AssetsLoans $164LiabilitiesDeposits $270What is the reserve ratio? 2x=8(x^2)What is the solution of this maths equation? the industrial Revolution resulted inA-hand made goods B-a great migration of people from rural areas to cities C-more time for people to spend with their families D-a shortage of workers on farms The U.S. president gives a speech to a group of students about theimportance of schools. The speech comes less than a week after a studyfound that U.S. students performed lower than students in other countries.Which statement best describes the context of the president's speech? A. The country is concerned about bullying in American schools.B. The country is concerned that students aren't able to pay forcollegeC. The country is concerned the president isn't an effective leader.D. The country is concerned about students' performance in school. Candice bought 3 shirts. Each shirt cost the same amount and was discounted by $3.66.Candice paid a total of $62.31 before tax. How much did each shirt cost before the discount? $19.55B$20.77$24.43D$28.09 Scientific researches indicate a number of negative impacts of poor sleeping quality. .., the problem can lead to anxiety and depression.A. OtherwiseB. For exampleC. To concludeD. Nevertheless Grade 2 Odd or Even1. 662. 193. 424. 375. 916. 767. 618. 939. 2610. 72 I need help Tucker needs to be at work at 9:20 A.M. It takes him 10 minutes to get ready in the morning and 5 minutes to drive to work. What is the latest time Tucker can get up in the morning without being late for work? and no random answers, or else I will report it. and please do not ask a question for the answer. any links will also be reported. and random answers like DRCVMFDCVFCV will be reported. Thank you. Please answer all questions.----- Thank you so much!! Find the GCF of 5, 92 SAQ help please passage: "The Spanish flu was one of the deadliest natural disasters in historya potent reminder of the threat posed by disease.Humanity seems to need such reminders often. In 1948, shortly after the first flu vaccine was created and penicillin became the first mass-produced antibiotic, U.S. Secretary of State George Marshall reportedly claimed that the conquest of infectious disease was imminent. In 1962, after the second polio vaccine was formulated, the Nobel Prizewinning virologist Sir Frank Macfarlane Burnet asserted, To write about infectious diseases is almost to write of something that has passed into history.Hindsight has not been kind to these proclamations. Despite advances in antibiotics and vaccines, and the successful eradication of smallpox, Homo-sapiens is still locked in the same epic battle with viruses and other pathogens that weve been fighting since the beginning of our history. When cities first arose, diseases laid them low, a process repeated over and over for millennia. When Europeans colonized the Americas, smallpox followed. When soldiers fought in the first global war, influenza hitched a ride, and found new opportunities in the unprecedented scale of the conflict."The Next Plague Is Coming. Is America Ready? by Ed Yong, the Atlantic, 2019a) Identify ONE environmental factor, alluded to by the author, that is typically present and required for the spread of infectious disease on an epidemic or pandemic scale.b) Identify ONE specific example of a 20th-century health epidemic that encouraged technological advancement and that is NOT explicitly referenced by the author.c) Explain ONE specific example of why the optimism of Sir Frank Macfarlane Burnet and George Marshall may have been misplaced. What is the remainder when x2 + 5 is divided by x +1? ASAP please :))) will greatly appreciate Please solve the equation for this missing angle. Please Help ASAP!!! Elijah bought a new car for $25,000. He paid$5,000 up front and then $600 per month. Howmany months will it take Elijah to pay off the car? .Make a list of four causes of unemployment in Nepal andSuggest any two solution measures Explain how you know that x^2-8x+20 is always positive. Please help. Root 24 multiplied by root 6 In the case of Brown v. Board of Education, what did the Supreme Court decide?Group of answer choicesSchool segregation was unconstitutional.Segregated schools had to offer an equal education.School segregation could continue.Segregation laws were constitutional if they weren't too harsh.