the function f(t)=20sin(10t)+25 models the height of a specific seat on a ferris wheel above the ground at time, t. over what time, t, is the person riding at least 40 feet in the air?

4.86

Step-by-step explanation:

The function f(t) denotes the height of a specific seat on a Ferris wheel above the ground level at time t.

The function is f(t) = 20 Sin 10t +25 (1)

It is asked in the question that at what time a person riding at least 40 feet in the air.

Hence, we can write, 40= 20 Sin 10t +25

⇒ 20 Sin 10t =15

⇒ Sin 10t =  15/20

⇒ 10t = Sin⁻¹ (15/20) =48.59

⇒ t = 4.86 (Approximate) (Answer)

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w