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DIA [1.3K]
2 years ago
6

Find the value of x. Round to the nearest tenth.

Mathematics
2 answers:
Sever21 [200]2 years ago
6 0

Answer:

cos\Theta =\frac{adj}{hyp}

cos 32=\frac{12}{x}

x=12/cos32

=14.2

OAmalOHopeO

Maru [420]2 years ago
5 0

Answer:

\huge\boxed{x=14.2}

Step-by-step explanation:

Use a cosine:

cosine=\dfrac{adjacent}{hypotenuse}

We have:

adjacent=12\\hupotenuse=x\\measure\ of\ angle=32^o

Look at the picture or use the calculator.

\cos32^o=0.8480

Substitute:

0.848=\dfrac{12}{x}\\\\\dfrac{0.848}{1}=\dfrac{12}{x}

cross multiple

0.848x=12

divide both sides by 0.848

x=\dfrac{12}{0.848}\\\\x=14.2

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