On a vacation in puerto rico rose jumped off a cliff into a river in el yunque go forest reserve her height as a function of time could be modeled by the function h(t) = -16tequals -16t ^2 + 16t + 480, where t is the time after jumping in seconds and h is the height in feet how many seconds did it take rose to hit the water

t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t =

t₁ = = - 5

t₂ = = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

(a) the volume of the cone is 20/3 in3

hence, option a is correct.