Twice the difference of p and 10

Mathematics

1 answer:

ahrayia [7]3 years ago

7 0

2( twice) (p-10) difference of p and 10

2( p-10)

2p-20

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<h3>Answer: Choice B. $\frac{\sqrt{91}}{10}$ </h3>

Work Shown:

$\sin^2 \theta + \cos^2 \theta = 1\\\\\left(\frac{3}{10}\right)^2 + \cos^2 \theta = 1\\\\\frac{9}{100} + \cos^2 \theta = 1\\\\\cos^2 \theta = 1 - \frac{9}{100}\\\\\cos^2 \theta = \frac{100}{100}-\frac{9}{100}\\\\\cos^2 \theta = \frac{91}{100}\\\\\cos \theta = \sqrt{\frac{91}{100}} \ \text{ cosine positive in Q1}\\\\\cos \theta = \frac{\sqrt{91}}{\sqrt{100}}\\\\\cos \theta = \frac{\sqrt{91}}{10}\\\\$

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