Answer:
She will have 5 boxes and 22 cookies left over.
Step-by-step explanation:
<u>Divide 135 by 6 and you get 22.5.</u> The five represents how many full boxes she has, and the twenty-two represents the amount of cookies she has left.
Answer:
x = 4 and y = 8
Step-by-step explanation:
This is a special right triangle with angle measures 90-60-30 degrees
The side lengths are like the following :
The side length that sees 90 degrees is represented with a
The side length that sees 60 degrees is represented with a
The side length that sees 30 degrees is represented with 2a
now, the angle measure that sees 60 degrees is given as 4 so we understand that a is = 4 that's how we find the value of x and y
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
