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
#SPJ1
Answer:
108 children were drinking apple juice. $432 were spent on pizza.
Step-by-step explanation:
How many children were drinking apple juice:
567 - 323 - 136 = 108
How many children were eating pizza:
108 * 2 = 216
How much was spent on pizza:
216 * $2 = $432
Answer:
3???
Step-by-step explanation:
We are given with the rate of calories burnt out through running of <span>100 calories per mile. If 10 miles is ran, we get the total calories burnt is </span><span>100 calories per mile * 10 miles equal to 1000 calories. Power (watts) is equal to Joules per second. 1000 calories is equal to 4185.8 Joiules. In an hour run- the power is 69.76 Watts</span>
