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Leokris [45]
3 years ago
10

HELP PLEASE A. 51.4 B. 50.0 C. 31.0 D. 39.5 E. None

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0
First, in order to find the length of side w, you must first find the angle W. 
A triangle must be 180 degrees in total. 93 + 37 makes the triangle only have 130 at the moment. 
180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.
\frac{w}{sin50} =  \frac{31}{sin37}
Now multiply sin 50 on both sides. It can be written like so:
\frac{31sin50}{sin37}
Now plug this in a calculator. 
Answer is 39.5 



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Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 s
mrs_skeptik [129]

Answer:

1. Base of pyramid; 6 in by 6 in

2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.

3. twice the area of the square

4. Area = 228 inches squared

Step-by-step explanation:

For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.

<h3>Step 1. Add all surface areas together</h3>

Prism: 6 surfaces

Surface area = 216 inches sq

  • Front = 6 x 6 = 36
  • Back = 6 x 6 = 36
  • Top = 6 x 6 = 36
  • Bottom (base) = 6 x 6 = 36
  • Side = 6 x 6 = 36
  • Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

  • Bottom (base) = 6 x 6 = 36
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  • Back = (6 x 4)/2 = 12
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  • Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

<h3>Step 2. Subtract surfaces that are NOT being painted</h3>

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

<u>228 inches sq</u>

Hope this helps!

Download pdf
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