<span>The
third root of the given complex number 27(cos(pi/5)+isin(pi/5)) is <span>3(cos(pi/15)+i sin(pi/15))
</span>The solution would be like this
for this specific problem:</span>
<span>2^5 =
32 so you need a 2 out front the 5th root of cos(x) + i sin(x) is
cos(x/5) + i sin(x/5). Additionally, 5 roots are located at even
intervals around the circle. They are spaced every 2 pi/5 or 6 pi/15 radians.
</span>
<span>Roots
are located at pi/15, pi/15+ 10pi/15 = 11 pi/15 and pi/15+ 20pi/15 = 21 pi/15
(or 7 pi /5 ).</span>
Answer: He has 287 home runs
Step-by-step explanation:
Let's define:
H = home runs of Hank
J = home runs of Jones.
We know that:
H = 2*J - 181
H = 755
Then we can replace the second equation into the first one:
755 = 2*J - 181
(755 - 181)/2 = J
287 = J
Answer:
Q1: $1.2 Q2: 5 pens
Step-by-step explanation: