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kolbaska11 [484]
3 years ago
8

Use the Law of Sines to find the length of AC

Mathematics
1 answer:
ddd [48]3 years ago
3 0
<h3>Answer:  30.78181 meters</h3>

The value is approximate. Round that however you need to.

========================================================

Explanation:

  • lowercase a = side opposite angle uppercase A
  • lowercase b = side opposite angle uppercase B
  • b = AC

Using the law of sines, we can say:

a/sin(A) = b/sin(B)

45/sin(30) = b/sin(20)

b/sin(20) = 45/sin(30)

b = sin(20)*45/sin(30)

b = 30.78181 approximately

You'll need to make sure your calculator is in degree mode.

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Tameka bought 50 cans of soda ( cola, grape, and orange) to serve at a party. She has 8 more colas than grape sodas, and 3 less
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We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get

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14 + 3R = 50      Subtract over the 14

3R = 36              Divide by 3

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C + G = 38

Plug either equation 1 or 2 into that one, I'll do 1

(8 + G) + G = 38

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Cola = 23

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