Adiver is standing on a platform 24ft. above the pool. he jumps from the platform with an initial upward velocity of 8ft/s. use the formula h(t)=-16^2+vt+s, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. how long will it take for him to hit the water?

He will take 1.5 seconds to hit the water

Step-by-step explanation:

* The formula h(t) = -16t² + vt + s

- h is the his height above the water

- v is his initial up-word velocity

- s is his starting height

- t is the time

* When he hits the water h(t) = 0

- because h is his height above the water

∴ -16t² + vt + s = 0

∵ v = 8 ft/s

∵ s = 24 ft

∴ -16t² + 8t + 24 = 0 ⇒ × (-1)

∴ 16t² - 8t - 24 = 0 ⇒ ÷ 8

∴ 2t² - t - 3 = 0 ⇒ by using factorization

∴ (2t - 3)(t + 1) = 0

∴ 2t - 3 = 0 ⇒ 2t = 3 ⇒ t = 3/2 = 1.5 sec

∴ t + 1 = 0 ⇒ t = -1 ⇒ rejected the time is positive value

* He will take 1.5 seconds to hit the water

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq