$16.76 divided by 4 = $4.19 each gallon
So $4.19 x 7 gallons = $29.33
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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Rotating a shape involves moving it in a circular way around its axis
The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.
<h3>How to determine the rotation?</h3>
When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape
As a general rule, the rotation of a right triangle around its axis would form a cone.
Hence, the true statement about the rotation is (c)
Read more about rotation at:
brainly.com/question/4289712
Answer:
x=4
x=17.9
Step-by-step explanation:
For the first diagram.
cos(45°)=x/4√2
x=4√2cos(45°)
x=4
For the second diagram
tan(38°)=14/x
0.781=14/x
x=14/0.781=17.9
Answer:
y = 6
Step-by-step explanation:
line with (-3 , 6) with slope = 0 is the line perpendicular to x axis
y = 6
