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Genrish500 [490]
2 years ago
8

Which of the following is a solution of z^5 = 1 + √3i? Help much needed! Thank you

Mathematics
2 answers:
Sonbull [250]2 years ago
5 0

\sqrt[5]{2}

=cos12°+isin12° is your answer

Akimi4 [234]2 years ago
4 0

Answer: z^5=1.732051i+1

Step-by-step explanation:

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One liter of paint covers 100 square feet. How many gallons of paint does it take to cover a room whose walls have an area of 80
Finger [1]
Its 3200 square feet so 32 gallons
5 0
3 years ago
How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.
Svetllana [295]

Answer:

Given : Expression -x^3y^3+343

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)

First we convert the given expression in a^3+b^3

x^3y^3+343

Apply exponent rule : a^mb^m=(ab)^m

x^3y^3=(xy)^3

Rewrite 343=7^3

Therefore, x^3y^3+343  could be written as =\left(xy\right)^3+7^3

On comparison with the formula,

a=xy , b=7

\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)

\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)            

5 0
3 years ago
Read 2 more answers
Simplify. (2/5)^4... words to fill in minimum space
Stella [2.4K]
When you have a power to a fraction, you simply take it by the top and then by the bottm.

So, split it into two: (2)^4 and (5)^4

Solve: (2)^4=16
(5)^4=625

So the fraction is: 16/625

Check to see if it reduces: It doesn't. (Odd and even numbers that have no common multiples).

Therefore, that's the answer.
3 0
3 years ago
The measure of ∠FHJ is 60°. The measure of ∠FGH is 28°.<br><br><br><br> What is the measure of ∠HFG?
Hatshy [7]
<span>Given
∠FHJ = 60°
</span><span>∠FGH =  28°

</span>∠FHG = 180 - ∠FHJ
∠FHG = 180 - 60
∠FHG = 120


∠HFG = 180 - (28 + 120)
∠HFG = 180 - 148
∠HFG = 32

6 0
3 years ago
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