If you are talking about a paper protractor you would put a line on 0 degrees and a line on 68 degrees. Same as a real one.
Answer:
0, 10, 42
Step-by-step explanation:
f(x) = 2x² - 8
for x = -2
f(-2) = 2(-2)² - 8 = 2(4) - 8 = 8 - 8 = 0
for x = 3
f(3) = 2(3)² - 8 = 2(9) - 8 = 18 - 8 = 10
for x = 5
f(5) = 2(5)² - 8 = 2(25) - 8 = 50 - 8 = 42
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
#SPJ1
Answer:
56 degrees
Step-by-step explanation:
8120 / 56 =145
To check if you have 145 crates with 56 pumpkins each you would have 8,120 total pumpkins
So the answer is 145 crates
