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kiruha [24]
2 years ago
10

I need it ASAP. Solve it please!! {z}^{3} - 8i = 0​

Mathematics
1 answer:
labwork [276]2 years ago
6 0

Step-by-step explanation:

one of the cube roots (there are 3 of them) is

81/3[cos(270°/3) + isin(270°/3)] = 2(cos90° + isin90°) = 2i

The 3 cube roots are equally spaced around the circle centered at (0,0) with radius 81/3 = 2

360° / 3 = 120°

Another cube root of -8i is

2[cos(90° + 120°) + isin(90° + 120°)] = 2[cos(210°) + isin(210°)] = 2(-√3/2 + i(-1/2)) = -√3 - i

The third cube root of -8i is

2[cos(90°+2(120°)) + isin(90°+2(120°)) = 2[cos330° + isin(330°)] = 2[√3/2 +i(-1/2)] = √3 - i

So, the cube roots of -8i are 2i, -√3 - i, and √3 - i

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A jacket cost $35.50 more than a pair of tennis shoes if the total cost of both items is $161.30 find the cost of each
Mice21 [21]

Answer:

$62.9 and $98.4

Step-by-step explanation:

Let the cost of tennis shoe be x

Since a jacket cost $35.50 more than a pair of tennis shoe,

Then cost of jacket would be

= $35.50 + x

Total cost of both items would be;

x + $35.50 + x = $161.30

2x = $161.30 - $35.50

2x = $125.8

x = $62.9

Therefore, cost of pair of tennis shoe is $62.9

Jacket cost would now be

= $35.5 + x

= $35.5 + $62.9

= $98.4

6 0
3 years ago
5 1/3 in decimal form​
STatiana [176]

Answer:

5.33

Step-by-step explanation:

5+1/3

=5.3333

=533.33333333%

7 0
3 years ago
Read 2 more answers
Look at the following function <br> X -12 -8
Julli [10]
X-12 -8
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6 0
3 years ago
Which data set could be represented by the box plot shown below?
Fudgin [204]

Answer:

Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Step-by-step explanation:

<u>Interpreting Box Plots</u>

A box plot is used to present the 5-Number summary of a set of data.

The 5-Number summary consists of the following in their order of appearance on the box plot.

  • Minimum Value
  • First Quartile, Q_1
  • Median, Q_2
  • Third Quartile, Q_3
  • Maximum Value

In the box plot, the following rules applies

  • The whisker starts from the minimum value and ends at the first quartile.
  • The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
  • The end whisker starts at the third quartile and ends at the maximum value.

Using these, we interpret the given box plot

A left whisker extends from 1 to 6.

  • Minimum Value=1
  • First Quartile =6

The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.

  • Median=12
  • Thrid Quartile=16

The right whisker extends from 16 to 19.

  • Maximum Value =19

Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

6 0
3 years ago
Pls help I can't get it ​
Aleksandr [31]

Answer:

30

Step-by-step explanation:

Solve for the hypotenuse for the bottom triangle (a^2+ b^2=c^2). You should get 40. After solving that you should be able to solve for c in the top triangle which should get you 30.

4 0
2 years ago
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