This is hard to understand , do u have a photo
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:
I think it’s C
Step-by-step explanation:
Answer:
$34 and 77.8 miles
Step-by-step explanation:
The computation of the amount for traveling 25 miles is shown below:
Since it is given that the rental company charges $2.75 plus $1.25 for each mile
So for 25 miles, the cost you have to pay is
= $2.75 + 25 miles × $1.25
= $2.75 + $31.25
= $34
Now for traveling for $100, the miles should be traveled is
= ($100 - $2.75) ÷ 1.25
= 77.8 miles
Hence, the same is to be considered
Answer:
850 words can be typed in 17 minutes
Step-by-step explanation:
Divide 300 by 6 and multiply it by 17 and that is your answer, 850.
