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jarptica [38.1K]
2 years ago
11

A baseball is thrown at an angle of 30° with respect to the ground and it reaches the ground in 2 seconds. What is its initial v

elocity of baseball?
Mathematics
1 answer:
NeTakaya2 years ago
3 0

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

                  t = \frac{2vosin\alpha}{g}

Solve for vo

             vo = \frac{tg}{2sin\alpha}

Substitution

            vo = \frac{(2)((9.81)}{2sin 30}

Simplification

           vo = \frac{19.62}{2(0.5)}

           vo = \frac{19.62}{1}

Result

            vo = 19.62 m/s

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What is the surface area of the triangular prism?
Elanso [62]

Answer:

135 square feet

Step-by-step explanation:

area of base and top=2(1/2×6×2.5)=15 square feet.

area of three faces=(2.5+6+6.5)×8=15×8=120 ft

total surface area=15+120=135 square feet.

4 0
2 years ago
Read 2 more answers
A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 19.7, \sigma = 2

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{21.4 - 19.7}{2}

Z = 0.85

Z = 0.85 has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0
2 years ago
The area of a rectangle is (27x5 + 9x4 - 18x3) square feet. The width of the rectangle is 9x2 feet. What is the length of the re
Yuliya22 [10]
If the width is 9x², then the length is 27x^5+9x^4-18x^3/9x², which equals 3x³+x²+2x. ☺☺☺☺
8 0
2 years ago
Read 2 more answers
An ice chest contains six cans of apple​ juice, eight cans of grape​ juice, four cans of orange​ juice, and two cans of mango ju
Katena32 [7]
6+8+4+2=20
2/20 to grab mango can = 1/10
8/19 (remove one for previous) fro grape juice
6/18 for apple juice = 1/3
1/10*8/19*1/3
=
8/570
=
4/285
8 0
3 years ago
A movie theater sold 800 tickets and made $4400 in one night. If an adult ticket costs $8 and a children's ticket costs $4, how
zhenek [66]
Let x = adult tickets
Let y = children's tickets

x + y = 800
8x + 4y = 4,400

From the first eq, x = 800 - y, plug this in to the second eq
8(800-y) + 4y = 4,400
6400 - 8y + 4y = 4,400
2000 = 4y
500 = y

x = 800 - 500
x = 300

300 adult tickets were sold.
4 0
2 years ago
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