Let z = e2π i /n. then zn = 1, and z is called an nth root of unity. there are n nth roots of unity, equispaced around the unit circle; they have the form z = e2π i (k/n), where k = 0, 1, 2, , n−1. of course 1 is an nth root of unity, for every n. draw the unit circle for the four 4th roots of unity. the angle difference (in radians) between adjacent 4th roots is correct: your answer is correct. draw the unit circle for the six 6th roots of unity. the angle difference (in radians) between adjacent 6th roots is correct: your answer is correct. draw the unit circle for the eight 8th roots of unity. the angle difference (in radians) between adjacent 8th roots

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

answer: i guess 105 degrees?

step-by-step explanation: