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:
Triangular Prism
Step-by-step explanation:
We are given the object 'Tent' and are required to find a 3D object resembling it.
Since, the object represents a tent. So, it must have two similar and parallel bases with parallelograms as sides.
Therefore, we get that the 3D object that resembles a tent is a 'Triangular Prism'.
A triangular prism has two similar triangular bases and three rectangular sides as shown in the figure below.
Hence, 'Triangular Prism' is the answer.
Answer:
$7.88
Step-by-step explanation:
87.56*0.09=7.88