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masya89 [10]
3 years ago
13

A baseball player leads off the game and hits a long home run. the ball leaves the bat at a height of 4ft above the ground and a

n angle of 32 degrees from the horizontal with a velocity of 131 ft/s.
write a set of equations that model the scenario.
Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer:

time = 4.4 s

horizontal distance = 488.8 m

Step-by-step explanation:

Height, h = 4 ft

Angle, A = 32 degree above X axis

velocity, u = 131 ft/s

Let the time taken is t.

Use second equation of motion

h = u t + 0.5 gt^2\\\\- 4 = 131 sin 32 t - 16 t^2\\\\16t^2 - 69.4t - 4 = 0\\\\t=\frac{69.4\pm \sqrt{4816.36 +256}}{32}\\\\t = \frac{69.4\pm71.2}{32}\\\\t = - 0.05625 s, 4.4 s

So, time is 4.4 s.

The horizontal distance is

d = u cos A t

d = 131 cos 32 x 4.4 = 488.8 m

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Find the distance between the points (-3,14) and (4,-10)
Jobisdone [24]

Answer:

The answer is -3.4. If you have to round it, round it down to 3.

Step-by-step explanation:

7 0
3 years ago
On which interval is the average rate of change for bicycle production the greatest? A) 1950 to 1960 B) 1960 to 1970 C) 1970 to
Alborosie

Answer:

D) 1980 to 2000

Step-by-step explanation:

Finding the average rate of change in each interval to determine the greatest one.

Production per interval

1950-1960 = (21-11) \ million = 10 million

1960-1970 = (41-21)\ million = 20 million

1970-1980 = (71-41)\ million = 30 million

1980-2000 = (161-71)\ million= 90 million

Rate of change (1950-1960)= \frac{10}{11} \times 100= 90.90\%

Rate of change (1960-1970) = \frac{20}{21} \times 100= 95.23\%

Rate of change (1970-1980)=  \frac{30}{41} \times 100= 73.17\%

Rate of change (1980-2000)= \frac{90}{71} \times 100= 126.76\%

∴ rate of change between 1980 to 2000 is 126.78%

7 0
3 years ago
Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will l
Ganezh [65]

Answer:

52

Step-by-step explanation:

<u>Spinner A</u>

  • Probability of red = 0.5,
  • Probability of blue = 0.5

<u>Spinner B</u>

  • Probability of red = 0.6,
  • Probability of blue = 0.4

<u>Probability of both A and B land on red: </u>

  • 0.5*0.6= 0.3

<u>Number of attempts to get outcome of 84 red on both spinners is:</u>

  • 84/0.3= 260

<u>Probability of both spinners land on blue:</u>

  • 0.5*0.4= 0.2

<u>Estimated number of both spinners land on blue:</u>

  • 260*0.2= 52  
4 0
3 years ago
The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the
Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be 1.5r.

We will use lateral surface area of pyramid to solve our given problem.

LSA=2\pi r h, where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

LSA=2\pi r\cdot (1.5)r  

Now we will find the total surface area of cylinder.

TSA=2\pi r(r+h)

TSA=2\pi r(r+1.5r)

TSA=2\pi r(2.5r)

\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}

\frac{TSA}{LSA}=\frac{2.5r}{1.5r}

\frac{TSA}{LSA}=\frac{25}{15}

\frac{TSA}{LSA}=\frac{5}{3}

Therefore, the ratio of total surface area to lateral surface area is 5:3.

4 0
3 years ago
I NEED HELP PLEASE !!!!
Anon25 [30]

Answer: (-9,11)

So the line starts at the left on -9 and ends at the right at 11 so then your answer would be (-9,11)

6 0
3 years ago
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