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Tamiku [17]
2 years ago
14

Select the correct answers from each drop-down menu.

Mathematics
1 answer:
Nutka1998 [239]2 years ago
5 0

The proof is correctly started by <u>both </u><u>Eric</u><u> and </u><u>Maggie</u>. Also, the next step in the proof is to <u>multiply both </u><u>sides</u> by the <u>denominator</u>.

<h3>What is the law of sines?</h3>

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it refers to an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}

From the given triangle, we can deduce that:

  • sin(X) = h₁/z   ⇒ h₁ = zsin(X).
  • sin(Z) = h₁/x   ⇒ h₁ = xsin(Z).
  • sin(Y) = h₂/x   ⇒ h₂ = xsin(Y).
  • sin(X) = h₂/y   ⇒ h₂ = ysin(X).

Therefore, the proof is correctly started by <u>both </u><u>Eric</u><u> and </u><u>Maggie</u>. Also, the next step in the proof is to <u>multiply both </u><u>sides</u> by the <u>denominator</u>.

Read more on law of sines here: brainly.com/question/7922954

#SPJ1

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Answer:

252 is a composite number.

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The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factor pairs: 252 = 1 x 252, 2 x 126, 3 x 84, 4 x 63, 6 x 42, 7 x 36, 9 x 28, 12 x 21, or 14 x 18

Taking the factor pair with the largest square number factor, we get √252 = (√7)(√36) = 6√7 ≈ 15.875

Step-by-step explanation:

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