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).
Answer: Rr.3,000
Step-by-step explanation:
The interest is the amount that accrues on a principal that was invested or a cost that was incurred.
It is based on a certain interest rate which in this case is 15%.
The principal is Rr. 20,000.
Interest = Principal * Interest rate
= 20,000 * 15%
= Rr.3,000
8 because AB=BC as they are isosceles and 5/2.5=2 therefore ACx2=JL= 8
Answer:here's ur answer
Step-by-step explanation:
Answer:
x=17
Step-by-step explanation:
3x-15=20+16
3x-15=36
3x=36+15
3x=51
x=17
