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AfilCa [17]
3 years ago
11

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

Mathematics
2 answers:
Murrr4er [49]3 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]3 years ago
3 0

Answer:

It's B

Step-by-step explanation:

Just took the quiz

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Tomtit [17]

Answer:

108

Step-by-step explanation:

4 0
3 years ago
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
anyanavicka [17]
<span>The correct answer is that y does not vary directly with x.

Explanation<span>:
If y varies directly with x, this means that it would fit the equation y=kx for every point in the set.

For the first point, we would have 11=7k; this would mean that k=11//7.
For the second point, we would have 13=8k; this would mean that k=13/8.

Checking using proportions shows us that 11/7 does not equal 13/8:
cross multiply, and you have 11*8=7*13, or 88=91.

This is not true, so k is not a constant, and y does not vary directly with x.</span></span>
7 0
3 years ago
Read 2 more answers
Use the net to find the lateral area of the prism.
Gnesinka [82]

Answer:

The lateral area = 450 mm²

Step-by-step explanation:

The lateral area of any prism is equal to the areas of the sides faces

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∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15

∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)

                              = 75 + 180 + 195 = 450 mm²

8 0
3 years ago
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What civilization did Buddhism begin in?
Digiron [165]

Answer:

Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama.

6 0
3 years ago
14. Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.
labwork [276]

Answer:

36

Step-by-step explanation:

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