The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including a 4 foot overhung. a. Knowing that the pitch of a roof is the ratio of the rise to the run, find the pitch of this roof. B. If the entire roofline measures 100 feet from end to end, find the total area of the roof. c. Find the percent of the roof used for the overhang

Answers

Answer 1

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

[tex]$=\frac{48}{2}$[/tex]

= 24 feet

a). So the rise of the roof is [tex]$= \sqrt{(26)^2-(24)^2}$[/tex]  

                                         = 10 feet

b). Pinch of the roof is [tex]$=\frac{\text{rise}}{\text{run}}$[/tex]

                                     [tex]$=\frac{10}{24}$[/tex]

                                     [tex]$=\frac{5}{12}$[/tex]

c). The percent of the roof used as overhung is

     [tex]$=\frac{4+4}{60}\times 100$[/tex]

     [tex]$=\frac{80}{6}$[/tex]

       = 13.33 %


Related Questions

can someone help plz ... mark brainliest ❤️

Answers

Answer:

Top:(4r⁹+3r³-5)

Bottom: r⁵

Step-by-step explanation:

The diameter of a circle has endpoints at (0,11) and (-6,-1). Write the equation of the circle in standard form.

Answers

Answer:

(x - 3)^2 + (y - 6)^2 = 17

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

(x - 3)^2 + (y - 6)^2 = 17

25% of x is 30

x=?
please help!!!​

Answers

25% of 30 can be found by converting 25% to a decimal and multiplying it by 30.

25% = 0.25

30x0.25=7.5

So x is 7.5.

---

hope it helps

how do you get the value of x7+8x+3-1+7

Answers

Answer:

first add the numbers that have the same variable s x7+8x=15x

then the numbers first add and then you subtract

1+7=8

3-8= -5

15x-5

Answer:

8x+x7+9

Step-by-step explanation:

subtracted one term from another

subtracted 1 from 3 to get 2

x7=+8x+2+7

add two terms together

add 2 and 7 toget 9

x7+8x+9

Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?

Answers

I’ll get it correct here :)

He ate 19.95 grams of sugar.

3.5 x 5.7 = 19.95

What is the greatest number of obtuse angles that a triangle can have?

Answers

Answer:

1

Step-by-step explanation:

Please help me I need to answer this question

Answers

Answer:

.........

it is -7

Please complete the table below.

Answers

Answer:

1.is 12

2. is 36

3. is 18

4. is 4.5

Step-by-step explanation:

sorry if im wrong

$75 = 3 sweatshirts
$25 = 1 sweatshirt
$50 = 2 sweatshirts
$200 = 8 sweatshirts

Hope this helps :)

Solve.
t
8.4=
1.5
=
Help plzzzz

Answers

Answer:

t = 12.6

Step-by-step explanation:

8.4 x 1.5 = 12.6

to check it, do 12.6 ÷ 1.5 = 8.4

Find the factor form for each problem. (Show work)

1. 12x²+8x

2. 2x²-16x

Answers

Step-by-step explanation:

12x^2 + 8x

4x ( 3x + 2)

2x^2 - 16x

2x ( x - 8)

A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that forms the​ bead?

Thanks in advance!

Answers

Answer:

216 cm³

Step-by-step explanation:

large prism volume = 6 x 6 x 8 = 288 cm³

small cutout volume = 3 x 3 x 8 = 72 cm³

288- 72 = 216 cm³

The question is in the photo above plz answer

Answers

Answer:

surface area of cuboid=2(lb+bh+hl)

surface area of cuboid=2(12×5+5×2+2×12 )

surface area of cuboid=188in²

Question 8 of 10
Which of the following are remote interior angles of Z1? Check all that apply.
ole
O A. 25
B. 21
O c. 26
O D. 24
D E. 23
O F. 22

Answers

Answer:

D and E

Step-by-step explanation:

remote interior angles are not adjacent to a given angle. or basically 1 is our exterior angle, so the opposites of 1 and the remote interior angle.

The remote interior angles of Z1 are ∠4 and ∠3. The correct options are D and E.

What are remote interior angle?

A triangle's remote interior angles are the two angles that are not adjacent to a given exterior angle. An exterior angle of a triangle is formed by extending one of the triangle's sides.

The following theorem can be used to calculate the remote interior angles of a triangle:

A triangle's remote interior angles are equal in size to the exterior angle that is not adjacent to them.

In other words, if we know the measure of one of a triangle's exterior angles, we can find the measure of the distant interior angles by subtracting that measure from 180 degrees.

Thus, the correct options are D and E.

For more details regarding angles, visit:

https://brainly.com/question/28451077

#SPJ7

carol is making baby blankets for her daughters twins. If one blanket needs 43/4 yd of fabric, how much fabric does carol need for two blankets?

Answers

Answer:

21 1/2 yd

Step-by-step explanation:

43/4 + 43/4 = 21 1/2 yd

In a two-digit number, the units digit is 5 more than the tens digit. The number is 6 less than 4 times the sum of the digits. Find the number.

Answers

Answer:

Tens digit, x = 3

Unit digit, y = 8

Number = 38

Step-by-step explanation:

Let the 2 digit number = xy

y = x + 5 - - - (1)

10x + y = 4(x + y) - 6

10x + x + 5 = 4(x + x + 5) - 6

11x + 5 = 4(2x + 5) - 6

11x + 5 = 8x + 20 - 6

11x + 5 = 8x + 14

11x - 8x = 14 - 5

3x = 9

x = 9/3

x = 3

From (1)

y = x + 5

y = 3 + 5

y = 8

#8 Tessa has a plan for a set of stairs made of concrete, as shown. Each stair is 1 point the same width and height and is taller than the previous one by the same amount. What is the volume of concrete needed for the set of stairs?
Picture below:​

Answers

Answer: 2.43m^3

Step-by-step explanation:

hey hottie pls help me! thank u ;)
Select the context(s) that could be modeled by a linear function.
A)The amount Ms. Ji Woo and Mrs. Rose pay to rent a car is $50 per day.
B) Ms. Jisoo adds $20 to a savings account each month.
C)The value of Principal Kai's car decreases by 15.5% each year.
D)The price of a stock on Robinhood each year is 110% of its price from the previous year.
E)Mrs. Manoban pays $1000 for car insurance the first year and pays an additional $25 per year

Answers

Answer: A,B, and E for sure. I'm not sure about C though.

Step-by-step explanation:

Find the volume of the con round you answer to the nearest tenth

Answers

Answer:

16.76 inch³

Step-by-step explanation:

volume of cone is 1/3 πr²h

h=4

r=2

then 1/3* 22/7* 2*2 *4

=352/21

=16.76

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B (3, -4)

Step-by-step explanation:

A( -7, 2)

midpt ( -2, -1)

Equation:

(x + 5, y - 3)

Solve for B:

( -2, -1)

(x + 5, y - 3)

(3, -4)

3
Which conical container holds more water?
1
1
-
1
1
k
8 cm
8 cm
or
1
4 cm
6 cm
Cone 1
Cone 2
Answer:

Answers

Come 2 because it has more volume

what number that you can multiple by 7 that will give you 7/10​

Answers

Answer:

0.7

Step-by-step explanation:

pls help will mark brainlest

Answers

Answer:

(5,7) , (2, -3) , (2,4)

Step-by-step explanation:

your first number, the x, is the horizontal number. The second, y, is the vertical number. So if you look at A, the x is 5, and you then have to go up to 7 to reach the intercept

Which situation would not be represented by the integer -5?

There is a temperature of 5°.
You owe $5.
There is a hole 5 feet deep.
There is a 5-yard penalty.

Answers

Answer:

A

Step-by-step explanation:

It is talking about a positive number

Answer:

a

Step-by-step explanation:

A flagpole casts a 12ft long shadow and the sun is currently at an angle of elevation of 53°. How tall is the flagpole?

Answers

12.59 jainsieojeko omtorpnsso

Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?

Answers

Answer:

8

Step-by-step explanation:

If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100

Answer:

Length= squre root of area

Length of big poster = squre root of 144

=12

Length of small poster=squre root of 100

=10

The perimeter = 4*length

Big poster perimeter=4*12=48

Small poster perimeter =4*10=40

The difference= 48 - 40 = 8

It is bigger by 8

Is 0.25 greater or less than 0.03?

Answers

Answer:

0.25 is greater than 0.03

Step-by-step explanation:

You can solve this simply by looking for the position of the decimal point.

For example, 0.30 is greater than 0.25, but 0.03 is less than 0.25

0.25  >  0.03

Answer:

Step-by-step explanation:

The cost to place an ad in a weekly paper is $5.50 per line,i.The print set-up fee is $7.50.

Answers

Answer:

whats the question?

Step-by-step explanation:

Seventh grade
> CC.5 Calculate mean absolute deviation YNM
In the data set below, what is the mean absolute deviation?
3
3
2
9
8
8
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation

Answers

Answer:2.8333

Step-by-step explanation:

What is the median for the following data set? 5,7,9,11,13,13

A. 10
B. 8
C. 9
D. 11

Answers

The answer is C.9 because 9+4=13 and 9-4=5 hope this helps

why do i have depression

Answers

Answer:

are u ok tho

Step-by-step explanation:

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