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2 years ago

What is angle F to the nearest degree?

Mathematics

1 answer:

nekit [7.7K]2 years ago

8 0

Answer:

So we already knew all three sides, there are more than one way to do it, for example:

sin∠F = HG/HF = 12/13

cos∠F = GF/HF = 5/13

tan∠F = HG/GF = 12/5

ctg∠F = GF/HG = 5/12

All of them will give you the result which is approximately 67°.

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2 years ago

Need the a answer for this

FinnZ [79.3K]

Answer:

Given expression:

$\dfrac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}$

Separate the variables:

$\implies \dfrac{14}{8} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

Reduce the first fraction:

$\implies \dfrac{7}{4} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

$\textsf{Apply Division Property of Exponents rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies \dfrac{7}{4} \cdot a^{4-(-2)} \cdot b^{6-3} \cdot c^{-10-(-5)}$

$\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot c^{-5}$

$\textsf{Apply Negative Property of Exponents rule} \quad a^{-n}=\dfrac{1}{a^n}$

$\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot \dfrac{1}{c^5}$

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1 year ago

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3 years ago

Dominique buys $14.95 worth of gasoline for her car. If the gas station charges $1.43 per gallon, how many gallons did she get?

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14.95 divided by 1.43 = 10.50

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2 years ago

Read 2 more answers