Step-by-step explanation:
X = 50+45 = 95 exterior angle
y =95 + 52 = 147 exterior angle
Z = 180 Straight angle
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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The volume of the pyramid is 2496 cu.m.
<h3>What is a Pyramid ?</h3>
A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .
It is given that
A pyramid
has a 4 m by 4 m square top
Height = 12 m
Base = 20 m
The volume of a square pyramid with a
is given by
V = (1/2) * ( Area of base + Area of
) * height of the
from the base
V = 0.5 * ( 20 *20 + 4*4 ) * 12
V = 2496 cu.m
The volume of the pyramid is 2496 cu.m.
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Answer:
B.
Step-by-step explanation:
The percent increase when 7200 increases by 1800 is 25 %
First you would have to find the distance it's going per hour.

You will then get the answer of 200 m/hr. You can then plug in 200 m/hr to find how far the jet could fly in 10 hours

You're final answer should be 2,000 miles