Answer:
The radius of the inner circle is 14 ft. Since the outer circle is 3 ft more than the inner circle, its radius is 17 ft. The circumference formula is 2(pi)radius (or 2(22/7)17 in this case). The circumference of the outer circle is 106.85 ft (or 106.9 if rounding). To find the difference, you would subtract the smallest FROM the greatest:
106.85 - 88 = 18.85 ft (or 18.9 if rounding)
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:
846.06 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
...(1)
We need to find out the maximum amount of profit the company can make.
For maximum profit put dy/dx = 0
So,
Put x = 22.87 in equation (1). So,
So, the maximum profit is 846.06 units.
Answer:
A
Step-by-step explanation:
I hope this helps and sorry if I'm wrong!
