What is the measure of the angle?

During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 4 f

Sonbull [250]

Answer:

(a) The time the T-shirt takes to maximum height is 2 seconds

(b) The maximum height is 68 ft

(c) The range of the function that models the height of the T-shirt over time given above is $4 + 64\cdot t - 16 \cdot t^{2}$

Step-by-step explanation:

Here, we note that the general equation representing the height of the T-shirt as a function of time is

$h = h_1 + u\cdot t - \frac{1}{2} \cdot g \cdot t^{2}$

Where:

h = Height reached by T-shirt

t = Time of flight

u = Initial velocity = 64 ft/s

g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²

h₁ = Initial height of T-shirt = 4 ft

(a) The maximum height can be found from the time to maximum height given as

v = u - gt

Where:

u = Initial velocity = 64 ft/s

v = Final upward velocity at maximum height = 0 m/s

g = 32 ft/s²

Therefore,

0 = 64 - 32·t

32·t = 64 and

t = 64/32 = 2 seconds

(b) Therefore, maximum height is then

$h = 4 + 64\times 2 - \frac{1}{2} \times 32 \times 2^{2}$

∴ h = 68 ft

The T-shirt is then caught 41 ft above the court on its way down

(c) The range of the function that models the height of the T-shirt over time given above is derived as

$h = h_1 + u\cdot t - \frac{1}{2} \cdot g \cdot t^{2}$

With u = 64 ft/s

g = 32 ft/s² and

h₁ = 4 ft

The equation becomes

$h =4 + 64\cdot t - \frac{1}{2} \times 32 \cdot t^{2} = 4 + 64\cdot t - 16 \cdot t^{2}$ .

6 0

3 years ago

Out of 18 people surveyed at the mall, 4 have a motorcycle. Based on these results of the 270 people at the mall, how many have

Shkiper50 [21]

Answer: 60

Step-by-step explanation: Okay, so 4 is approx 22.3 percent of 18, so 22.3 percent of 270 is approx 60. That's how I worked it out, please do tell if I am wrong.

3 0

3 years ago

Pls help will mark brainliest

Alenkinab [10]

Answer:

jajaja y la novia

Step-by-step explanation:

5 0

3 years ago

Greatest common factor. Can someone please explain

fiasKO [112]

Let's say you have 10 and 15

You can divide both of them by 5

10/5=2
15/5=3

The greatest common factor is 5, because it is the highest number you can divide both numbers by, I hope this helps

3 0

3 years ago

The following are the annual salaries of 15 chief executive officers of major companies. (The salaries are written in thousands

Alisiya [41]

Answer:

The 25th percentile is 248.

The 70th percentile is 700.

Step-by-step explanation:

The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.

Arrange the data set in ascending order as follows:

S = {75 , 157 , 224 , 248 , 271 , 381 , 472 , 495 , 586 , 676 , 700 , 723 , 743 , 767 , 1250}

The formula to compute the position of the pth percentile is:

$p^{th} \text{Percentile}=\frac{(n+1)\cdot p}{100}$

Compute the 25th percentile as follows:

$25^{th} \text{Percentile}=\frac{(15+1)\cdot 25}{100}=4^{th}obs.$

The 4th observation from the arranged data set is 248 .

Thus, the 25th percentile is 248.

Compute the 70th percentile as follows:

$70^{th} \text{Percentile}=\frac{(15+1)\cdot 70}{100}\approx 11^{th}obs.$

The 11th observation from the arranged data set is 700.

Thus, the 70th percentile is 700.

4 0

3 years ago

What is the measure of the angle?​

What is the measure of the angle?