Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)
so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288
so r = 5 and 3O = 288 + 360p and O = 96 + 120p
so one cube root is 5 (cos 96 + i sin 96)
Im a little rusty at this stuff Its been a long time.
Im not sure of the other 2 roots
sorry cant help you any more
Answer:
option: D.
Step-by-step explanation:
"The rate of change of two ordered pair is nothing but the slope of a line segment joining ordered pair (x,y)".
if a function is linear then it is represented as y=f(x)=ax+b
i.e. it is a line segment.
so the slope must be same if we consider any ordered pair.
Hence option D is correct i.e. She can check to see if the rate of change between the first two ordered pairs is same as the rate of change between the first and last ordered pairs.
Answer:
Step-by-step explanation: You can order without knowing the areas because of the size
Total surface area of a cone is given by,
Surface area of the cone = πrl + B
Here, l = Slant height of the cone
r = radius of the circular base
B = Area of the base
From the picture attached,
Slant height 'l' = 15 in.
Radius of the circular base 'r' = 12 in.
Area of the circular base = πr²
= π(12)²
= 144π in²
By substituting these values in the expression of the surface are,
Total surface area of the cone = π(12)(15) + 144π
= 180π + 144π
= 324π in²
Learn more,
brainly.com/question/14346245
