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xenn [34]
3 years ago
13

A ball is thrown horizontally with a speed of 10 m/s, from the edge of the top of the building of height 19.6m, and later strike

s the ground.
1) For how long was the ball in the air?
2)what is the vertical component of the velocity just before the ball strikes the ground?
3) what is the horizontal component of the velocity just before the ball strikes the ground?
4)how far from the base of the building did the ball strike the ground?
5) what is the speed of the ball just before it strikes the ground?
Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0
1) You need to solve t - 19.6=.5(9.8)t^2
2) Then solve fvf^2=2(9.8)(19.6)
3) As it's constant it is<span> still 10m/s
4) You need to </span><span>use the</span> time from part 1 times 10m/s
5) Use Pythagorean theorem with <span>10m/s and vf

I am pretty sure it will help you.</span>
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Complemetary angles are two angles whose measures add up to 90 degrees. The ratio of the measures of two complementary angles is
pochemuha

Let A and B be the two complementary angles.

A = smaller angle = 2x

B = larger angle = 13x

x = some unknown number

Note how the ratio A:B turns into 2x:13x which simplifies to 2:13

A+B = 90 ... because the angles are complementary

2x+13x = 90 ... substitution

15x = 90

x = 90/15

x = 6

A = 2*x = 2*6 = 12 degrees

B = 13*x = 13*6 = 78 degrees

The two angles are 12 degrees and 78 degrees.

Check:

A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13

A+B = 12+78 = 90

3 0
3 years ago
Use the stem and leaf plot above to answer the following question.
choli [55]

Answer:

Lower quartile - (20+32) divided by 2 = 26

Median - (43+46) divided by 2 = 44.5

Upper quartile - 51

Step-by-step explanation:

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8 0
2 years ago
Jake plans to take a summer job at the recreation center as a lifeguard. He can be paid according to two different plans.
Jlenok [28]

Payment on Plan A = $300

x is the number of hours Jake works.

Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)

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Since, the payment on Plan B should be more than Plan A,

150 + 6.25x > 300

6.25x > 300 - 150

6.25x > 150

x > \frac{150}{6.25}

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The minimum vale for x which satisfies this inequality is 25.

Hence, x = 25.

5 0
3 years ago
Trig questions:
navik [9.2K]
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
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f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4

Answer: 1. f(x) = sin(x - π) - 4

Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
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(62/360)*(36π) = (31/5)π in

Answer: 3. (31π)/5

Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
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From the graph, the rate of change of g(x)  is
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h(0) = 0 - 4 = -4
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8 0
3 years ago
Can someone please help...
Karolina [17]

Answer:

See below for explanation of the examples.

Step-by-step explanation:

Left example

It is an exercise in addition, i.e. 48+122=170, the answer is written in the bottom box.

Right example

It is an exercise in subtraction, i.e. 8 1/2 - 3 1/2 = 5

The answer is written in the bottom box.

There is no indication though as to when to do the addition, and when to do the subtraction.  Perhaps it would be shown in the rest of the page (not shown).

8 0
3 years ago
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