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:
it depends on what type of track, and who you are. so if its me and if its a typical quarter-mile track, it would be about a minute and 15 max. then multiply that by 20 and and yod have 25 minutes for 20 laps aka 5 miles
Step-by-step explanation:
Answer:
$102.00
Step-by-step explanation:
$120.00 x .15=$18.00
$120.00 - $18.00=$102.00
Answer:
ik the answer to the question
