Answer:
565cm³
Step-by-step explanation:
If Kelly eats the salsa until it is 6cm high, then she ate, in height, 11cm-6cm=5cm of salsa. The volume of the salsa she ate is in the shape of a cylinder, and the formula for calculating the volume of a cylinder is πr^2h. Since we have the values for r (radius) and h (height), we can solve for the volume.
V=πr^2h
V=π(6cm)^2(5cm)
V=180πcm³
This is equal to about 565cm³.
Since a stop sign is an octagon it has eight sides. So the perimeter will be:
p=8x, p=perimeter and x=side length. We are told that the perimeter is equal to:
16x^2-80x so we can say:
16x^2-80x=8x subtract 8x from both sides
16x^2-88x=0 factor out 8x
8x(2x-11), since we know x>0
x=11/2
x=5.5 units
Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
So the first one is -0.5 and second is -0.5 the third one is -0.5 and the fourth is -0.25 so I would say that is D
