Amare wants to ride a ferris wheel that sits four meters above the ground and has a diameter of 50 meters. it takes six minutes to do three revolutions on the ferris wheel. complete the function, h(t), which models amare's height above the ground, in meters, as a function of time, t, in minutes. assume he enters the ride at the low point when t = 0.

The required function is .

Step-by-step explanation:

The general form of cosine function is

where, A is amplitude, is period, C is phase shift and D is midline.

It is given that the Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. So the minimum value of the function is 4 and maximum value is 50+4=54.

It takes six minutes to do three revolutions on the Ferris wheel. So, period of the function is

The period of a cosine function is

The function have no phase shift. So, C=0.

Substitute y=h(t), B=π, C=0 and D=29 in equation (1) to find the function.

It is given that the ride is at the low point whet t=0, it means the function passes through the point (0,4).

Substitute t=0 and h(t)=4 in the above function.

Subtract 29 from both the sides.

The amplitude of the function is -25.

Substitute y=h(t), A=-25 B=π, C=0 and D=29 in equation (1) to find the function.

Therefore the required function is .

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3