First you would subtract 30 from both sides
they divide each side by 5 to get -7
y =-7
The diameter of the pool cover in one hundred feet
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
brainly.com/question/10251853
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Answer:
2.28%
Step-by-step explanation:
As this is normally distributed, we can use z scores to find the percentage.
First, find the z-score for 148.
The z-score that you get is:
(148-160)/2=2
As we see that z=2, we can use a calculator or a z-score chart to find the percentage less than a z score of 2.
I used my chart and found: 2.28%
