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).
Adam descends 5 feet Multiply 5 by four and then you get 30 feet
Answer:

Step-by-step explanation:
The trash can has a cylinder shape, so we have to calculate the volume of a cylinder.
The volume of a cylinder is given by the formula

where
V is the volume
r is the radius of the base
h is the height of the cylinder
In this problem, we have:
h = 24.90 in. is the height of the can
d = 15.50 in. is the diameter of the can, so the radius is half of this value:

Therefore, the volume of the trash can is:

Answer:
The answer is 3.6 servings per meal.
Step-by-step explanation:
Each meal of spaghetti has 400 kcal. We can get the amount of servings just simply dividing the meal by the standar serving size:
