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svet-max [94.6K]
3 years ago
8

HELP!!!!!!!!!!!!!!!!!!!! SUPER EASY! Just checking my answer because my teacher is REALLY strict with homework accuracy

Mathematics
1 answer:
qaws [65]3 years ago
8 0

9514 1404 393

Answer:

  1/5^6

Step-by-step explanation:

The applicable rules of exponents are ...

 (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

 (5^{-2})^3=5^{(-2)(3)}=5^{-6}=\boxed{\dfrac{1}{5^6}}

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Answer:

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Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

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Thus,

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Divide both sides by tan(20)

\frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)}

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Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

\theta = 57

Thus,

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(57) = \frac{87}{b}

Multiply both sides by b

tan(57) \times b = \frac{87}{b} \times b

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Divide both sides by tan(57)

\frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)}

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