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Misha Larkins [42]

3 years ago

11

Which of the following is a third root of the given complex number? 27(cos(pi/5)+isin(pi/5))

1 answer:

Digiron [165]3 years ago

5 0

<span>The third root of the given complex number 27(cos(pi/5)+isin(pi/5)) is <span>3(cos(pi/15)+i sin(pi/15))

</span>The solution would be like this for this specific problem:</span> <span>2^5 = 32 so you need a 2 out front the 5th root of cos(x) + i sin(x) is cos(x/5) + i sin(x/5). Additionally, 5 roots are located at even intervals around the circle. They are spaced every 2 pi/5 or 6 pi/15 radians. </span> <span>Roots are located at pi/15, pi/15+ 10pi/15 = 11 pi/15 and pi/15+ 20pi/15 = 21 pi/15 (or 7 pi /5 ).</span>

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A car is purchase at $20000.The value of the car depreciates at 12.5% a year. What will the value of the car be to the nearest c

Rudik [331]

Answer: $4603.82

Step-by-step explanation:

Given

The initial cost of a car is $P=\$20,000$

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Depreciated value after n years is given by

$\Rightarrow P(1-\frac{i}{100})^n\quad \text{where n=no. of years}$

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6 0

2 years ago

Negative 5 is fewer than 6 less than a number k

lara [203]

Answer:

k > 1 is the solution.

Step-by-step explanation:

We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.

Then this is a linear inequality of single variable k and we have to solve it.

Now, we have

- 5 < k - 6

⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}

⇒ 1 < k

⇒ k > 1

This is the solution of the given inequality. (Answer)

7 0

3 years ago

Helllllllllpppp !!!!!!!!

AURORKA [14]

O = x, h=15 angle = 23
sin 23 = o/h
sin 23 x 15 = x
x=5.9 --> C

4 0

3 years ago

Solve for p:<br><br> p – 23 = -3<br> A. p = 20<br> B. p = -20<br> C. p = -26<br> D. p = 69

Alekssandra [29.7K]

P-23=-3
+23 +23

P=20

so the answer is A

6 0

1 year ago

PLEASE HELP WILL GIVE BRAINLIEST<br> Answer all parts of the question please!

Zanzabum

Answer:

It's in the air for about 2 seconds (A), maximum height was about 17 feet, and yes you win the price since 17> 15.

Step-by-step explanation:

7 0

2 years ago