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Effectus [21]
3 years ago
6

If cot theta=1.5 find sin theta

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

ANSWER

a.  \:  \:  \: \tan( \theta)  =   \frac{1}{1.5}  \approx0.6667

EXPLANATION

We were given that:

\cot( \theta)  = 1.5

and we want to find

\tan( \theta)

We know that, the two ratios are reciprocals of each other.

\tan( \theta)  =  \frac{1}{ \cot( \theta) }

We perform the substitution to obtain:

\tan( \theta)  =   \frac{1}{1.5}  \approx0.6667

The correct choice is A.

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3 0
3 years ago
I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd
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Answer:    $5,828.28

<u>Step-by-step explanation:</u>

Use the Compound Interest formula:     A=P(1+\frac{r}{n})^{nt}       where

  • A is the accrued amount (balance)
  • P is the principal (initial amount invested)
  • r is the interest rate (in decimal form)
  • n is the number of times compounded each year
  • t is the time of the investment (in years)

Given: P = 4,900

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A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\

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4 years ago
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