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2 years ago

How long will it take the ball to reach the ground

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

8 0

When the ball reaches the ground, its height is 0.
We set the height function equal to zero and solve for t, the time.

h = -16t^2 + 250

-16t^2 + 250 = 0

16t^2 - 250 = 0

$(4t + \sqrt{250})(4t - \sqrt{250}) = 0$

$4t + \sqrt{250} = 0$ or $4t - \sqrt{250} = 0$

$4t = -\sqrt{250}$ or $4t = \sqrt{250}$

$t = -\dfrac{\sqrt{250}}{4}$ or $t = \dfrac{\sqrt{250}}{4}$

We discard the negative solution since time must be positive.
The positive solution is

$t = \dfrac{\sqrt{250}}{4} \approx 4.0$

Answer: 4.0 seconds

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Answer:

Step-by-step explanation:

In order to find B we must first angle C

To find angle C we use the sine rule

That's

$\frac{ |a| }{ \sin(A) } = \frac{ |c| }{ \sin(C) }$

From the question

a = 15

A = 70°

c = 14

So we have

$\frac{15}{ \sin(70) } = \frac{14}{ \sin(C) }$

$\sin(C) = \frac{14 \sin(7 0 ) }{15}$

$C = \sin^{ - 1} ( \frac{14 \sin(70) }{15} )$

C = 61.288

<h3>C = 61.3° to the nearest tenth</h3>

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

That's

A + B + C = 180

B = 180 - A - C

B = 180 - 70 - 61.3

<h3>B = 48.7° to the nearest tenth</h3>

To find b we can use the sine rule

That's

$\frac{ |a| }{ \sin(A) } = \frac{ |a| }{ \sin(B) }$

$\frac{15}{ \sin(70) } = \frac{ |b| }{ \sin(48.7) }$

$|b| = \frac{15 \sin(48.7) }{ \sin(70) }$

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

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Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her

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A right triangle has a leg of 11 and a hypotenuse of 16. Find the missing leg (in simplest radical form)

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Answer: d

Step-by-step explanation: