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chubhunter [2.5K]
3 years ago
6

Question 1 (0.5 points)

Mathematics
1 answer:
Finger [1]3 years ago
8 0

Answer:

39.91 degrees.

Step-by-step explanation:

Formula

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

Givens

  • A = 84
  • a = 31
  • B = ?
  • b = 20

Solution

Sin(84)/31 = Sin(B)/20

20*Sin(84) / 31 = Sin(B)

Sin(B) = 0.6416

B = 39.91 degrees.

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

This looks like it is right, but you should check. Let h be the height opposite angle A.

h/20 = sin(39.91)

h = 20*sin(39.91)

h = 12.83

31 has to be longer than that amount (which it is.) So there is one solution.

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Write each fraction as the sum of a whole number and a fraction less than 1
Tpy6a [65]

Given:

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To find:

The each fraction as the sum of a whole number and a fraction less than 1.

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\dfrac{6}{5}=1+\dfrac{1}{5}

Therefore, the given fraction \dfrac{6}{5} can be written as 1+\dfrac{1}{5}.

The given fraction is \dfrac{11}{7}.

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\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}

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The given fraction is \dfrac{21}{4}.

\dfrac{21}{4}=\dfrac{20+1}{4}

\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}

\dfrac{21}{4}=5+\dfrac{1}{4}

Therefore, the given fraction \dfrac{21}{4} can be written as 5+\dfrac{1}{4}.

7 0
3 years ago
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ddd [48]

Answer:

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Step-by-step explanation:

8 0
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How do you subtract an integer from another integer without using a number line or counters
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A negative times a negative is always a positive . -2x-2=4

A positive integer times a negative integer will be a negative value. -3x4=-12.

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5 0
3 years ago
A local recreation center offers a yearly membership for $265. The center offers
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Answer:

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b. 500 = 265 + 5x

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She took 47 aerobic classes.    

Step-by-step explanation:

Total Cost is yearly cost + 5 into however many aerobic classes you take.

Find the number of classes by substituting values in the equation.

4 0
3 years ago
Can someone help me please
saul85 [17]
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So it is obvious that they rounded to nearest tenth of a degree

c≈31.9°
5 0
3 years ago
Read 2 more answers
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