B. Rotation
I’m assuming the question is not asking about placement but just the way the shape is.
Hope this helps!
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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The face dimensions are all the same, so the 3 lateral faces each have the same area. The lateral area is
3·(10 cm²) = 30 cm²
<span>Plan 1: $50 for a monthly pass and a $3 fee for each gym visit
So, the monthly pass is 50 plus 3 for each visit. You know 50 stays constant no matter how much Hayley goes to the gym so you can already put that into the form as 'b' also known as the y-intercept.
y=mx+50
Now, you need to find the slope which is the amount it increases or decreases by every time. Since Hayley gets charged $3 every visit, that would be the slope (m).
Plan 1: y=3x+50
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</span><span>
Plan 2: $10 for each gym visit
</span>
There is only a slope (m) for this. Technically there is a y-intercept (b), but since that is 0 it is not needed. Plug in the values.
y=mx+b
y=10x
Answer:
4 days
Step-by-step explanation:
Create your equation
10x + 4 = 44
10x = 40
x = 4 days
