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bogdanovich [222]
2 years ago
14

In art class Cindy is given a picture of a railroad sign and is asked to transfer this

Mathematics
1 answer:
Andrei [34K]2 years ago
6 0

Answer:

28 degrees

Step-by-step explanation:

Use the Law of Sines

sin(x) / 3.3 = sin(90) / 7.1

sin(90) = 1

3.3/7.1 = sin (x)

x = 27.69655

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A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet
Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

L_{1} = 2W_{1}

Also, the area of the walkway of 2 feet wide is 448:

W_{2} = 2 ft

A_{T} = W_{2}*L_{2} = 448 ft^{2}

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

A_{T} = A_{1} + A_{w}    (1)          

The area of the pool is given by:

A_{1} = L_{1}*W_{1}        

A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}  (2)          

And the area of the walkway is:

A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}    (3)          

Where the length of the bigger rectangle is related to the lower rectangle as follows:                  

L_{2} = 4 + L_{1} = 4 + 2W_{1}   (4)        

By entering equations (4), (3), and (2) into equation (1) we have:

A_{T} = A_{1} + A_{w}

A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}                

448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}            

224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1}

224 = W_{1}^{2} + 8 + 6W_{1}

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

L_{1} = 2W_{1} = 2*12 ft = 24 ft

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!                                                                                          

8 0
2 years ago
PLEASE HELP!! IF YOU ANSWER I WILL GIVE YOU BRAINLIST
Katyanochek1 [597]

Answer:

D.

(The only option that makes sense is D. but I came up with 10°F when I did the math)

<u><em>~ LadyBrain</em></u>

4 0
3 years ago
What is<br> 15/100<br> as a percentage?
Lunna [17]

Answer:

15%

Step-by-step explanation:

hope i helped!! please follow ❤❤

7 0
2 years ago
Read 2 more answers
Make sure to round the whole number
Elis [28]
Use calcutlator and it all smushed up i can barley see it
5 0
2 years ago
Convert the angle \theta=\dfrac{8\pi}{9}θ=
Olegator [25]

Answer:

160°

Step-by-step explanation:

-Given the angle in radians as \theta=\dfrac{8\pi}{9}\ rad

-We know that  1 \ rad=\frac{180}{\pi}\textdegree

-Let our angle theta be X

#We therefore equate and cross multiply:

1\ rad=\frac{180}{\pi}\\\\\frac{8\pi}{9}=x\\\\\therefore X=\frac{180}{\pi}\times \frac{8\pi}{9}\\\\=160\textdegree

Hence, angle θ is 160°

8 0
2 years ago
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