Mathematics High School

Select the correct answer.

A model of Steven’s house is shown in the diagram. He is replacing the roof, which consists of two rectangular surfaces. The diagram shows one side of the roof, with the other side hidden from view. What is the total area of the roof to the nearest square foot?

Select The Correct Answer.A Model Of Stevens House Is Shown In The Diagram. He Is Replacing The Roof,

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

From the picture attached,

Area of the one side of the roof = Area of the rectangle

                                                     = Length × Width

                                                     = AE × AC

To get the length of side AC, construct a perpendicular AD on side BC which divides BC in two equal parts.

BD = DC = 13 ft

By applying cosine rule in ΔADC,

cos(45)° = [tex]\frac{\text{DC}}{\text{AC}}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{13}{\text{AC}}[/tex]

AC = 13√2

AC = 18.38 ft

Therefore, area of one side of the roof = 38 × 18.38

                                                                 = 698.62 square feet

Area of both the sides of the roof = 698.62 × 2

                                                        = 1397.24 feet²

                                                        ≈ 1397 feet²

Option B will be the answer.

Select The Correct Answer.A Model Of Stevens House Is Shown In The Diagram. He Is Replacing The Roof,
Answer 2

The total area of the roof to the nearest square foot is 1,397 square feet

Area of composite shapes.

In order to get the area of the roof, we will need the slant height of the triangle.

Using the pythagoras theorem;

[tex]cos45 = \frac{26/2}{l} \\cos 45 = \frac{13}{l} \\0.7071 = \frac{13}{l} \\l = \frac{13}{0.7071} \\l=18.39 feet[/tex]

Get the area of the roof

Area of the roof = 2(lw)

l is the length of the rectangle = 38ftw is the width  = 18.39 feet

Area of the roof = 2(38 * 18.39)

Area of the roof = 1,397.64

Area of the roof ≈ 1,397 square feet

Hence the total area of the roof to the nearest square foot is 1,397 square feet

Learn more on area of rectangle here: https://brainly.com/question/25292087

Related Questions

This is 20 pts. Please help. I need help on my homework due tomorrow...here are the questions and please show how to work out the problems:
1. Convert 101 with an exponent of 2 to base 10
2. Convert 2A3 with an exponent of 16 to base 10
3. Covert 173 to base 3
4. Convert 177 to base 16

Answers

Answer:

1) 10^2 + 1

2) ?

3) 2(3^3) + 11

4) 16^2 - 79

Step-by-step explanation:

1) 101 = 100 +1 = 10^2 +1

2) ?

3) 173 = 81+81+11 = 3^3+3^3+11 = 2(3^3) +11

4) 177=256-79 = 16^2 -79

Pls mark Brainiest :)

5. Which expression is equivalent to (2p + 4)(2p – 4)?
A 4p2 + 16p – 16
B (2p)2 – 2(2)(4) + 42
C 2p2 – 42
D (2p)2 – 42

Answers

Answer:

[tex] {4p}^{2} - 16 [/tex]

I think I'm wrong or you're wrong.

I don't know but hope it's helpful ❤❤❤

THANK YOU.

What is the value of 8(3 + x) when x = 7?

Answers

Answer:

80

Step-by-step explanation:

8(3+7)=80

What is the area?Write your answer as a fraction or as a whole or mixed number

Answers

Answer:

83 3/10

Step-by-step explanation:

multiple the numbers

ABCD is a parallelogram. If side AB = 5x + 7, side BC = 8x - 12, and side CD = 7x - 9, find the value of x.

Answers

Answer:

8cm

Step-by-step explanation:

AB = CD

5x+7 = 7x-9

2x = 16

3-2(3x+1)=19
How would I solve this equation?​

Answers

Step-by-step explanation:

3-2(3x+1)=19

[tex]3 - 6x - 2 = 19 \\ 1 - 6x = 19 \\ - 6x = 19 - 1 \\ - 6x = 18 \\ x = - 3[/tex]

Rachel has 2/3 pound of snack mix. She eats 5/12 of the snack mix. How much of the snack mix did Rachel eat?

Answers

Answer: Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.

Step-by-step explanation:

Given : Rachel has [tex]\dfrac23[/tex] pound of snack mix..

If she ate [tex]\dfrac5{12}[/tex] of the snack mix.

Then, Quantity of snack mix eaten by Rachel = [tex]\dfrac5{12}\times\dfrac23[/tex]

[tex]=\dfrac56\times\dfrac13\\\\=\dfrac{5}{18}[/tex]

Hence, Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.

Carrie got a $65 gift certificate. She plans to buy a $12 rose bush and as many seed packets as she can for $1.79 each. Which of these inequalities shows x, the number of seed packets she can buy?

Answers

Answer:

she can buy the rose bush and 29 packets of seeds. So i think X= 29

Step-by-step explanation:

Answer this and I will give you 20 points

Answers

Social distancing is a good thing to do so good job ok

BRAINLIEST IF RIGHT!​

Answers

good good why I cant pemskananswjjaansjajaja

plz answer for 35 points​

Answers

The answer is b I think hope this helps

Answer:

The answer is B.

Step-by-step explanation:

Use the Distributive Property and write the sum of the number as the product of the GCF.
30 + 12

Answers

Answer:

1,2,3 and 6 is the answer

Danny charges 30$ for 3 hours of swimming lessons martin charges 55$ for 5 hours of swimming lessons which deal is better

Answers

Answer:

Danny

Step-by-step explanation:

Danny charges $10 an hour

Martin charges $11 an hour

Please help will give 20 points

Answers

Answer:

not sure but i think its B

An airplane descends 1.5 miles to an elevation of 6.05.Find the elevation of the plane befor its descent the intial elevation of the plane was blank miles

Answers

Answer:

7.55 miles

Step-by-step explanation:

Given that :

Distance of descent = 1.5 miles

New elevation point after descent = 6.05 miles

The initial elevation of the plane before descent will be :

New elevation point after descent + Distance of descent

(6.05 miles + 1.5 miles)

= 7.55 miles

Find the perimeter of a rectangle whose one side measures 20m and diagonal is 29m​

Answers

Answer:

Option A

Step-by-step explanation:

Answer:

1.You draw the rectangle and label on one side 20m

2.Draw a diagonal line inside the rectangle an label the line as 29m

3.Extract the the newly formed right angled triangle.

4.Find the hypotenuse (a+b=c) of the right angle which will give you the value of the unknown side.

5.Calculate the perimeter which is;

P=S+S+S+S

P= 20m+9m+20m+9m

P=29m+29m

P=58m

PLZ HELP ASAP!!!!!!!!

Answers

Answer: 3:2

Step-by-step explanation:

the base ratio of unused tape to used tape is 24:16.

then we have to simplify,

both 16 and 24 can be divided by eight,

24 divided by eight is 3

16 divided by eight is 2

therefore, our simlpified ratio is 3:2

hope this helped! <3

Karly got a 74% on her Social Studies test. The test had 50

questions. How many questions did she NOT answer

correctly?

ann

Answers

She answered 37 questions incorrectly

Highest common factor of 220 and 88

Answers

The answer is 44 if I’m correct
GCF of 220 and 88 is 44.

solve. -0.63 ÷ -0.7 = ill give brainiest

Answers

Answer:

0.9

Step-by-step explanation:

plz brainliest

Answer:

0.9

Step-by-step explanation:

question is in picture ​

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Answer:

6

Step-by-step explanation:

the first thing I did to smome but you know 5AM was a l

pls i need help with the attachment its my hw

Answers

Answer:

C

Step-by-step explanation:

It has to be c by process of elimination the circle has to be filled in and on the #5 and as you can see the only one was C

Answer:

D

Step-by-step explanation:

Solving the inequality

2x + 3 ≤ 5 ( subtract 3 from both sides )

2x ≤ 2 ( divide both sides by 2 )

x ≤ 1

The required number line will have a solid circle at x = 1 and the arrow will be going left.

The only graph with these conditions is D


What is the domain of this function?
(8,8)
(2, 19)
(0,9)
(-12, 19)

Answers

Answer:

The domain is -12, 0, 2, 8.

Step-by-step explanation:

The domain is the set of all possible x-values. The x-values are the first numbers in a point.

A cyclist travels 15 miles in 45 minutes.
What is his average speed in mph?

Answers

The cyclist’s average speed in mph is 20mph

The answer is 20 Km/hr

first : you have miles . then change it into Km .

second: 45 min to sec

finally speed is the distance per unit time

Which term best describes the graph of y = x - 1

A. Increasing
B. Decreasing
C. Constant
D. Positive

Answers

A (it’s a slight increase)
if you have a TI-84 calculator you could solve this problem in seconds.

Write an equation in point-slope form with a slope of m=3 and passes through the point (4,-5).

Answers

Answer:

y+5=3(x-4)

Step-by-step explanation:

hope this helped :)

Answer the question in the picture above.

Answers

Answer:

m is less than A apparently

Step-by-step explanation:

HELLPP PWEASEEEE :( im confused

Answers

Answer:

18 seconds

Step-by-step explanation:

according to the question

-16t²+5184=0 (0 because when the height is 0 the ball will hit the ground)

-16t²=-5184

t²=-5184/-16

t²=324

t=√324

t=18

Solve for x.

PLease need help

Answers

Answer:

x=7

Step-by-step explanation:

22x-4=7x-4+105

cancel both 4 out

22x=7x+105

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Answers

7x7= 49 + 4 = 53 i think bc the 8^0 is just zero
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