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sergeinik [125]
3 years ago
8

10 POINTS

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0
The roof is made up of two mirred right triangles which are congruent. We can find the width by finding the width of one of the triangles then doubling the answer to get the width of the entire roof.

We are given that the slope (rise over run) is 5/12 which means that for every 5 feet of height there is 12 feet of width. We can use this ratio to find the width of one triangle given the height of 8 by setting up the following proportion:

5/12 = 8/x

Solve for x by cross multiplying:

5x = (12)(8)

x = (12)(8)/5

x = 19.2 feet

Multiply by 2 to get the entire width:

(19.2)(2) = 38.4 feet

The answer is 38.4 feet
You might be interested in
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelo
Digiron [165]

Answer: (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

Step-by-step explanation:

Transformation rule for dilation:

(x,y)\to(kx,ky) , where k = scale factor

Given : Scale factor = -\dfrac13

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

(-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)

(0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)

(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)

(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)

Hence, the coordinates of the image if the parallelogram = (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

8 0
3 years ago
Five friends buy tickets to a carnival. They each also spend $4 on a funnel cake. They spent a total of $60. How much does one t
Butoxors [25]

Answer:

$8 for each tickets

Step-by-step explanation: 60/5 equals 12

Each friends have $12

12-4=8

Each ticked cost 8 dollars.

4 0
3 years ago
The sample space for a roll of two number cubes is shown in the table.
katen-ka-za [31]
I think its C but I'm not 100% sure
5 0
4 years ago
Read 2 more answers
Would you solve the equation 0.25x + 7 = 1/3x – 8 <br> using fractions or decimals? Explain please.
mamaluj [8]

Answer:

x = 180

Step-by-step explanation:

Solve the value of x :

0.25x + 7 = \frac{1}{3}x - 8

-Combine \frac{1}{3}x and 0.25x by subtracting 0.25x by \frac{1}{3}x :

0.25x - \frac{1}{3}x  + 7 = \frac{1}{3}x - \frac{1}{3}x  - 8

-\frac{1}{12}x + 7 = -8

-Subtract 7 on both sides:

-\frac{1}{12}x + 7 - 7 = -8 - 7

-\frac{1}{12}x = -15

-Multiply both sides by -12, the reciprocal of -\frac{1}{12} :

\frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}

x = -15 (-12)

x = 180

Therefore, the value of x is 180.

7 0
4 years ago
Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.
zavuch27 [327]

Answer:

671  is the 224th term of the given series

Step-by-step explanation:

The given sequence is

2,5,8,11....

First term that is 2

common difference that is 3

we have to find 224th term

That is n =224

using a_n=a+(n-1)d

a_{224}=2+(224-1)3

On solving the above equation we get

a_{224}=671

Hence, 224th term of the given series is 671


5 0
3 years ago
Read 2 more answers
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