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AfilCa [17]
2 years ago
11

Find the cube roots of 8i. Write the answer in a + bi form.

Mathematics
2 answers:
Murrr4er [49]2 years ago
8 0

Answer:

a0 =  ∛8 [ cos [ (pi/2)/3] +  i *sin [(pi/2)/3 ]  = ∛8 [ cos [ (pi/6)] +  i *sin [(pi/6) ] =

2 [ √3/2 + 1/2 * i ] =    √3  + 1i

 

a1  = ∛8 [ cos ( (pi/2)/3 + 2pi/3 )  + i sin ( (pi/2 )/3 + 2pi/3 ) ]   =

2 [ cos (5pi/6)  + i sin (5pi/6) ] =  2 [ - √3/2  +  (1/2)*i ]  =   - √3  +1i

 

a2  = ∛8 [ cos ( (pi/2)/3 + 4pi/3 )  + i sin ( (pi/2 )/3 + 4pi/3 ) ] =

2 [ cos(3pi/2) + i sin (3pi/2) ] =   2 [ -1 i ]  = -2i

like this

AnnZ [28]2 years ago
3 0

Answer:

It's B

Step-by-step explanation:

Just took the quiz

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jekas [21]

Put the values of the variables in place of the variables in the expression, then do the arithmetic.

8p+3q-18\\\\=8\left(\dfrac{1}{2}\right)+3(7)-18=\dfrac{8}{2}+21-18\\\\=4+21-18\\\\=25-18\\\\=\bf{7}

6 0
3 years ago
If a man walks 150m down the street, stops to ask for directions, then walks 1 point
Komok [63]
180, is the answer because when I had a question like that you have to add
5 0
3 years ago
Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N​
miskamm [114]

Answer:

  114°

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

__

<h3>setup</h3>

  (11x +15)° = 60° +6x°

<h3>solution</h3>

  5x = 45 . . . . . . . . . divide by °, subtract 15+6x

  x = 9 . . . . . . . . . . divide by 5

The measure of exterior angle KMN is ...

  m∠KMN = (11(9) +15)° = 114°

_____

<em>Additional comment</em>

Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...

  60° +6x° +M = 180°

  (11x +15)° +M = 180°

Equating these expressions for 180° and subtracting M gives the relation we used above:

  (11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°

  (11x +15)° = 60° +6x° . . . . . . . . . . . subtract M

This is also described by "supplements to the same angle are equal."

4 0
2 years ago
Read 2 more answers
James has 36 tulips. He must put the same number of tulips in each vase. How many tulips could be in each vase
k0ka [10]
1,2,3,4,6,9,12,18,36



please can i have a brainliest

7 0
3 years ago
Read 2 more answers
A (-5,3)
stellarik [79]

Answer:

- 3/4

Step-by-step explanation:

m = difference of y / difference of x = (3 - (-3)) / (-5 -3) = 6 / -8 = - 3 / 4

6 0
3 years ago
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