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Pavlova-9 [17]
3 years ago
15

In ΔIJK, the measure of ∠K=90°, the measure of ∠I=38°, and JK = 7.4 feet. Find the length of KI to the nearest tenth of a foot.

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

9.5

Step-by-step explanation:

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If the diameter of the cylinder's base is 10, then the radius is half that, or 5.

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A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 w
Liono4ka [1.6K]

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds.  Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

t = 5.0625

Step-by-step explanation:

Given

h(t)=-16t^2+80t+5

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

0=-16t^2+80t+5

Reorder

-16t^2+80t+5 = 0

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So, we have:

t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}

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This gives:

t = \frac{-80+82.0}{-32} or t = \frac{-80-82.0}{-32}

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t = -\frac{2}{32} or t = \frac{162}{32}

But time can not be negative.

So, we have:

t = \frac{162}{32}

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<em>Hence, time to hit the ground is 5.0625 seconds</em>

3 0
3 years ago
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