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Svetach [21]
2 years ago
5

The quarterback of a football team releases a pass at a height of 6 feet above the playing field, and the football is caught by

a receiver 78 yards directly downfield at a height of 4 feet. The pass is released at an angle of 75 degrees with the horizontal. Find the time in seconds the receiver has to reach the proper position after the quarterback releases the football. Round your answer to one decimal place.
Mathematics
1 answer:
motikmotik2 years ago
8 0

Answer:

t = 25.1seconds

Step-by-step explanation:

X(t)= 16cos75°t

Y(t)= 6 + (Vosin75°t - 16t^2)

Converting 78 yards to feet :

1 yard = 3 feet

78feet =?

78×3=234 feet

Y(t)= number of feet above the ground at t seconds

VoCos75° t = 234

t = 234/(VoCos75°)

At this time,4 = y(234/VoCos75°)

4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2

Vo= 140.66ft/s

Time,t= 234/(140.66× Cos75°)

t = 25.087seconds

t= 25.1 seconds (1 decimal place)

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liberstina [14]
P(r/w) is the probability of picking a red rose at first picking and a white rose at second picking.
P(w/r) is the probability of picking a white rose at first picking and a red rose at second picking.

P(r/w) = \frac{11}{19}×\frac{8}{18} = \frac{88}{342}
P(w/r) = \frac{8}{19}×\frac{11}{18}=\frac{88}{342}

Notice that the second fraction is out of 18 because the second picking of rose will be out of 18 since the first rose is not replaced.

P(r/w) equals to P(w/r)
3 0
3 years ago
Which of the following expressions represents the solution to -2x ≤ -10?
miv72 [106K]

x=4,3,2 or,1 are the possible

4 0
3 years ago
In the form of a paragraph, use complete sentences to describe some of your observations that helped you to conclude who researc
Verizon [17]

Answer:

1st pic:

Felix

mean: 11.31

median: 9

mode: none

range: 26

Tyler

mean: 56.57

median; 68

mode: none

range: 92

2nd pic:

The first histogram has a large amount of cheaper books and doesn't have any books that are above $29.99. This histogram sells cheaper books. The second histogram sells a more even distribution of books by cost. There are no bins that are significantly higher than the rest. This second histogram sells more expensive books.

3rd pic:

The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.

Step-by-step explanation:

3 0
2 years ago
The mean of a normally distributed dataset is 12, and the standard deviation is 2.
Schach [20]
So lets do it like this:
z = (X-Mean)/SD 
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
5 0
3 years ago
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows
juin [17]

Answer:

\frac{AB}{A''B''}  = \frac{1}{4}

Step-by-step explanation:

Given the information:

  • A'B'C' reflection over x = −1
  • dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= \frac{AB}{A''B''}  = \frac{1}{4}

We choose C.

Hope it will find you well.

7 0
3 years ago
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