Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
n = 12
Step-by-step explanation:
4/6 = 8/n
4n = 48
n = 12
Answer:
125 and 55
Step-by-step explanation:
180=8x+20
160=8x
x=20
6(20)+5 2(20)+15=
120+5=125 degrees 40+15=55 degrees
The probability is 1/6, 16%, or 0.16
Answer:
the answer could be 10/3 and decimal form is 3.3 and mixed form is 3 1/3 (i hope this helps sorry if I'm wrong!)
Step-by-step explanation:
