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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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Eddi Din [679]

Answer:

First you do what is inside the parentheses. 10 x 5 - 3. 50 - 3 =47. Then you multiply 47 x 5 = 235.

Step-by-step explanation:

8 0
3 years ago
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Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay
bezimeni [28]

Compound interest can be defined as the interest <em>on a deposited amount, an investment</em> that is <em>compounded based on its principal and interest rate.</em>

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

t = ln(A/P) / r

where:

P = Principal = $13,000

R = Interest rate = 21.4%

A = Accumulated or final amount

From the question, the Amount "A" is said to be the double of the principla.

Hence,

A = $13,000 x 2

= $26,000

  • Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

r = 0.214 per year.

  • Step 2: Solve the equation for t

t = ln(A/P) / r

t = ln(26,000.00/13,000.00) / 0.214

t = 3.239 years

Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.

To learn more, visit the link below:

brainly.com/question/22471957

7 0
3 years ago
How to do the problem
marta [7]
There are 153 people who each ate 1/4 pounds. Therefore, the amount of watermelon eaten is 153/4 pounds.
The amount of watermelon served is
8 \frac{1}{4}  + 9 \frac{1}{4}  + 8 \frac{7}{8}  + 9 \frac{5}{8}  + 10 \frac{3}{4}
=  \frac{8 \times 4 + 1}{4}  +  \frac{9 \times 4 + 1}{4}  \\  +  \frac{8 \times 8 + 7}{8}  +  \frac{9 \times 8 + 5}{8} \\  +  \frac{10 \times 4 + 3}{4}
=  \frac{33}{4}  +  \frac{37}{4}  +  \frac{71}{8}  +  \frac{77}{8}  +  \frac{43}{4}  \\  =  \frac{33 \times 2}{4 \times 2}  +  \frac{37 \times 2}{4 \times 2}  +  \frac{71}{8}  \\  +  \frac{77}{8}  +  \frac{43 \times 2}{4 \times 2}
=  \frac{66 + 74 + 71 + 77 + 86}{8}
=  \frac{374}{8}  =  \frac{186}{4}
There is 186/4 total watermelon. Minus the 153/4 that was eaten,
\frac{186 - 153}{4}  =  \frac{33}{4}  = 8 \frac{1}{4}

The leftover watermelon is 8 & 1/4 pounds.
6 0
3 years ago
A home has a room with length 22 feet and width 25 ft.
Elena L [17]

Answer:

O length = 11 inches width = 12.5 inches

Step-by-step explanation:

8 0
2 years ago
Please help me with these problems. This is not multiple choice. Part 3​
Ivan

9514 1404 393

Answer:

  5. 8 ft

  6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See brainly.com/question/21087377.

__

5.

<u>Given</u>:

  triangular garden with base 7 ft and area 28 ft^2

<u>Find</u>:

  height of the triangle

<u>Solution</u>:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

  h = 2A/b

We can let h represent the height, and fill in the given data.

  h = 2(28 ft^2)/(7 ft)

  h = 8 ft

The height of the triangle is 8 feet.

__

6.

<u>Given</u>:

  (0, 110), (5, 345) . . . . . where the points represent ...

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<u>Find</u>:

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where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

  y = (345 -110)/(5 -0)(x -0) +110

  y = 47x +110 . . . . the linear model, where ...

     y is the number of students using the hotline

     x is the number of years after 2010

__

In 2019, x = 9, so y = ...

  y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

5 0
3 years ago
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