Please help………………………..

Mathematics

1 answer:

Volgvan2 years ago

7 0

Answer:

(a) sin⁻¹(√35/14)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...

Sin = Opposite/Hypotenuse

sin(C) = AB/AC

For this problem, substituting values gives ...

sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14

C = arcsin((√35)/14)

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<em>Additional comment</em>

Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.

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oksian1 [2.3K]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

For her 10-day vacation, Ms. Corrin spent \$1,535 for air fare and a motel. The air fare was $354. If the motel charged the same

Reika [66]

Answer:

Each night at the motel did cost $118.1 to Ms. Corrin

Step-by-step explanation:

Considering that for her vacations, Ms. Corrin spent $1,535 for airfare and a motel, as the airfare was $354, left-over $1181 for the motel. Knowing Ms. Corrin stayed 10 nights in the motel, each night did cost $\frac{\$ 1181}{10nights}=\$181.1/night$