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2 years ago

7

1900 people attended a baseball game. 1691 of the people attending supported the home team while, 209 supported the visiting tea

m what percentage of people attending supported the home team?

1 answer:

Andrew [12]2 years ago

6 0

The answer to the percentage of home team fans in attendance is 89%

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Given that secant theta = Negative StartFraction 37 Over 12 EndFraction, what is the value of cotangent theta, for StartFraction

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$cot\theta$ $=\frac{12}{35}$

Step-by-step explanation:

$sec\theta =\frac{37}{12}$

⇔ $\frac{1}{cos \theta} =\frac{37}{12}$

⇔ $cos \theta = \frac{12}{37}$

we know that

$sin \theta = \sqrt{1-cos^2\theta}$

$sin\theta =\sqrt{1-(\frac{12}{37})^2 }$

$sin\theta=\sqrt{\frac{1225}{1369} }$

$sin\theta = \frac{35}{37}$

Therefore $cot\theta =\frac{cos\theta}{sin\theta}$ $=\frac{\frac{12}{37} }{\frac{35}{37} }$ $=\frac{12}{35}$ , for $\frac{\pi}{2}$

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