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Rashid [163]
3 years ago
15

The measure of angle theta is 7pi/6

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0
2pi-7pi/6=5pi/6
pi-5pi/6=pi/6 in the 3rd quadrant
in degrees, (7/6)(180)=210
360-210=150
180-150=30 degrees
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9 / 3/4 into a improper fraction
sleet_krkn [62]

Answer:

39/4

Step-by-step explanation:

Step 1 - Setup

First, we set up the mixed number 9 3/4 with different colors, so it is easy to follow along:

9

   3  

   4  

Step 2 - Multiply

Next, we multiply the whole number by the denominator.

9 x 4 = 36

Step 3 - Add Numerator

Then, we add the numerator to the answer we got in Step 2.

36 + 3 = 39

Step 4 - Solution

Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 9 3/4 as an improper fraction is:

   39  

   4  

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3 years ago
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-(x + 2) - 2x = -2( x + 1)
Nikitich [7]
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Can Someone Help me, pls?
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Step-by-step explanation:

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Please show your work.
levacccp [35]

The amount of money you have is $ 20864.521

<h3><u><em>Solution:</em></u></h3>

Given that you invested $15,000 dollars for 11 years at 3% annual interest compounded continuously.

To find: total amount of money

<em><u>The compound interest formula for compounded continously is given as:</u></em>

A = p e^{rt}

Where "p" is the principal

"r" is the rate of interest

"t" is the number of years

Here in this problem, p = 15000

t = 11 years

r = 3 \% = \frac{3}{100} = 0.03

<em><u>Substituting the values in formula we get,</u></em>

A = 15000e^{0.03 \times 11}\\\\A = 15000e^{0.33}\\\\A = 15000 \times 1.390968\\\\A = 20864.521

Thus the amount of money you have is $ 20864.521

5 0
3 years ago
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