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.
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Answer:
Mean = 10.83
Median = 13
Step-By-Step Explanation:
<u>Mean</u>
(14, 5, 5, 13, 13, 15) ÷ 6 = 10.8333333
Shortened to 10.83
<u>Median</u>
<u>The</u> middle of 5, 5, 13, 13, 14, 15
(13+13)/2 = 13
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Answer:
$95.17
Step-by-step explanation:
Answer:
Step-by-step explanation:
Scale= length on drawing / actual length
Let the actual length b x
3:10=2/5/x
3/10=2/5x
Cross multiply
15x=20
x=4/3
The actual length is 4/3
