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sergeinik [125]

3 years ago

8

10 POINTS

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

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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