<span>use De Moivre's Theorem:
⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)
= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)
= 3 (cos 52° + i sin 52°)
z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root
there are 5 roots so the angle between each root is 360/5 = 72°
then the other four roots are:
z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)
z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)
z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)
z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
Answer:
tanG= 15/20 = 3/4
tanX= 8/15
Step-by-step explanation:
tan is always opposite over adjacent
Answer:
1 fifteenth, or 1/15
Step-by-step explanation:
If there are 3 sons multiply the fraction by 3 and then you have 12/15 because 12/15 is equal to 4/5, so the remaining is 3 out of 15, so divide that between the 3 sons and boom, 1/15th per son.
Answer:
8 + 5 = 13 apples
Step-by-step explanation:
The words "in all" mean addition. Therefore, 8 apples plus 5 apples equals 13 apples.
(1/2)/2=3/x
we can cross multiply, aka multiply both sides by 2x
(1/2)x=2*3
(1/2)x=6
times 2/1 both sides
x=12
