A ferris wheel is 24 meters in diameter and must be boarded from a platform that is 6 meters above the ground (as illustrated). Suppose the wheel turns in a counter-clockwise direction, you find that it take 2 minutes to reach the top, at 30 meters, and completes a full revolution every 4 minutes. Which equation accurately shows the distance to the ground in terms of time, x? y=24cos(4x)−30y is equal to 24 cosine 4 x minus 30 y=12cos[π2(x−2)]+18y is equal to 12 cosine open bracket pi over 2 times open paren x minus 2 close paren close bracket plus 18 y=12cos(π2x)+6y is equal to 12 cosine open paren pi over 2 x close paren plus 6 y=12cos[4(x−2)]+18y is equal to 12 cosine open bracket 4 times open paren x minus 2 close paren close bracket plus 18

The correct option is;

y = 12·cos[π/2·(x- 2)] + 18

Step-by-step explanation:

The general equation for the motion of a Ferris wheel as a function of time, t, can be presented as follows;

f(t) = A·cos(B·x + C) + D

Where;

A = The amplitude = Diameter/2 = 24/2 = 12 meters

The period = 4 minutes

B = 2·π/Period = 2·π/4 = π/2

D = The midline = 6 + 12 = 18 meters

Substituting the values gives;

f(x) = 12·cos(π/2·x + C) + 18

At x = 0, we have

f(x) = 6 = 12·cos(π/2×0 + C) + 18

cos( C) = (6 - 18)/12 = -1

∴ C = -π

We therefore have;

f(t) = y = 12·cos(π/2·t - π) + 18 =  12·cos[π/2·(x- 2)] + 18

y = 12·cos[π/2·(x- 2)] + 18.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

answ9x x 3=

step-by-step explanation: