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Ostrovityanka [42]
3 years ago
11

Given sin θ = square root of 23 divided by 12 and tan θ = square root of 23 divided by 11, find cos θ. Enter the answer as a fra

ction in lowest terms.

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

Answer:

11/12

Step-by-step explanation:

tan θ = sin θ / cos θ

cos θ = sin θ / tan θ

cos θ = (√23/12) / (√23/11)

cos θ = (√23/12) × (11/√23)

cos θ = 11/12

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An initial deposit of $45,000 grows at an annual rate of 10% for 20 years. Compare the final balances resulting from continuous
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Answer:

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Step-by-step explanation:

A. Compounded annually

The formula for <em>compound interest</em> is

A = P(1 + r)ⁿ

Data:

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r  = 10 %

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Calculations:

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B. Compounded continuously

The formula for <em>continuously compounded inerest</em> is

A = Pe^{rt}

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4 0
3 years ago
Proportions, assist me please! ​
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Step-by-step explanation:

w =  \frac{1}{2}  {x}^{2} y \\ (2)w =  \frac{1}{2}  {x}^{2} y(2) \\ 2w =  {x}^{2} y \\  \frac{2w}{ {x}^{2} }  =   \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y

<h3>Answer:</h3>

y =  \frac{2x}{ {x}^{2} }  \\

6 0
3 years ago
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