1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mash [69]
2 years ago
8

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
Mathematics
1 answer:
anyanavicka [17]2 years ago
8 0

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

$=\frac{48}{2}$

= 24 feet

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

                                         = 10 feet

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

                                     $=\frac{10}{24}$

                                     $=\frac{5}{12}$

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

     $=\frac{4+4}{60}\times 100$

     $=\frac{80}{6}$

       = 13.33 %

You might be interested in
Colin invest in £5000 into his bank account. He receives 10% per year simple interest. How much will Colin have after 3 years?
pav-90 [236]

Answer:

£6655

Step-by-step explanation:

Given data

Principal=  £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

A=5000*1.331

A= £6655

Hence the final Amount is  £6655

5 0
3 years ago
the ratio of the lenghts of corresponding parts in two smillar solids is 4.1 what is the ratio of their surface areas?
victus00 [196]

Answer:

16:1

Step-by-step explanation:

The ratio of the surface areas of the similar solids is the square of the lengths.

(4:1)²

4²:1²

⇒ 16:1

5 0
3 years ago
The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What
grigory [225]
3(3x+8)=4(2x+8)
9x+24=8x+32
x=8

2(8)=16
3(8)=24
 
that means that the younger brother is 16 years old 
8 0
3 years ago
Help please with this question.
alexandr1967 [171]

Answer:

the classmate is incorrect

Step-by-step explanation:

when you do the math for both inequalities they are equal to each other, despite the fact that one has multiplication and the other has addition.

7 0
3 years ago
How much did rosemary pay per pound?
velikii [3]

Answer:

0.89

Step-by-step explanation:

2.24/3 = 0.89

She paid 89 cents per pound of tomatoes.

Have a great day!

Please rate and mark brainliest!

6 0
2 years ago
Other questions:
  • Integers that are not whole numbers
    7·1 answer
  • The probability of spinning blue on victor's spinner is 1. Which word best describes the chance of spinning blue on victor's spi
    7·2 answers
  • Please I want the answer!!!
    11·1 answer
  • Find the variable x.
    13·1 answer
  • Which real world situation cannot be represented by X +8 equals X 2+4
    14·1 answer
  • I need help with this
    6·2 answers
  • The length of a rectangular storage room is 3 feet longer than its width. if the area of the room is 40 square feet, find the wi
    5·1 answer
  • Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFI
    14·1 answer
  • The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fift
    13·1 answer
  • Choose the expression that is NOT equivalent to the following expression:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!