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3 years ago

13

A tennis ball is hit upward with a velocity of 48 feet per second. Ignoring the height of the tennis player, how long does it t

ake for the ball to fall to the ground?

1 answer:

sineoko [7]3 years ago

3 0

Using the formula for velocity, I got three seconds.
xx

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Please look at the picture, I need help ASAP.

forsale [732]

See below for the proof that the areas of the lune and the isosceles triangle are equal

<h3>How to prove the areas?</h3>

The area of the isosceles triangle is:

$A_1 = \frac 12r^2\sin(\theta)$

Where r represents the radius.

From the figure, we have:

$\theta = 90$

So, the equation becomes

$A_1 = \frac 12r^2\sin(90)$

Evaluate

$A_1 = \frac 12r^2$

Next, we calculate the length (L) of the chord as follows:

$\sin(45) = \frac{\frac 12L}{r}$

Multiply both sides by r

$r\sin(45) = \frac 12L$

Multiply by 2

$L = 2r\sin(45)$

This gives

$L = 2r\times \frac{\sqrt 2}{2}$

$L = r\sqrt 2$

The area of the semicircle is then calculated as:

$A_2 = \frac 12 \pi (\frac{L}{2})^2$

This gives

$A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2$

Evaluate the square

$A_2 = \frac 12 \pi (\frac{2r^2}{4})$

Divide

$A_2 = \frac{\pi r^2}{4}$

Next, calculate the area of the chord using

$A_3 = \frac 12r^2(\theta - \sin(\theta))$

Recall that:

$\theta = 90$

Convert to radians

$\theta = \frac{\pi}{2}$

So, we have:

$A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))$

This gives

$A_3 = \frac 12r^2(\frac{\pi}{2} - 1)$

The area of the lune is then calculated as:

$A = A_2 - A_3$

This gives

$A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)$

Expand

$A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2$

Evaluate the difference

$A = \frac 12r^2$

Recall that the area of the isosceles triangle is

$A_1 = \frac 12r^2$

By comparison, we have:

$A = A_1 = \frac 12r^2$

This means that the areas of the lune and the isosceles triangle are equal

Read more about areas at:

brainly.com/question/27683633

#SPJ1

5 0

11 months ago

Can someone help me with this assesment

inn [45]

Answer:

true

false; exponent should be -7

false; exponent should be 16

true

Step-by-step explanation:

6 0

1 year ago

Which of the following type of income should a budge be based on

Aleksandr-060686 [28]

C) Gross Income hope it helps

8 0

2 years ago

2.Rosa has a goal of running a total of 150 miles this month to prepare for a race. Each day she runs 7 miles. She wants to know

Alex73 [517]

I feel like I’m Gucci mane in 2006

5 0

2 years ago

A dolphin dove 31 meters below the surface of the water to reach a fish. It traveled 16% of the total distance every second.

-Dominant- [34]

D. -14.88 meters

31(.16)=4.96

4.96(3)=14.88

7 0

2 years ago