Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
The answer is B, divide the rate by the unit to simplify
The answer is none. The first 2 trick you
Answer:
during the first 3mins the bus was accelerating from 0km to 25 kilometers
during the next 90 mins btwn 30mins to 120 mins it was moving at a constant distance n speed
lastly for the last 60 mins from 120 mins to 180 mins it started decelerating from a distance of 25km to 0 km
Answer:
z=3
Step-by-step explanation:
-12=-8z+12
-12-12=-8z
-24=-8z
-24/-8=z
z=24/8
3=z
z=3
