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irinina [24]
3 years ago
5

The distance traveled by a falling object is given by the formula d = 0.5gt2 where d = distance, g = the force of gravity, and t

= time. Solve this equation for g, and use your formula to determine the force of gravity if a baseball takes 10 seconds to hit the ground after being dropped from a height of 490 feet. Show all steps in your work.
Mathematics
2 answers:
Alina [70]3 years ago
8 0
D = 0.5gt^2
2d = gt^2
g = 2d/t^2

when t = 10 s, and d = 490 feet,
g = 2(490)/10^2 = 980/100 = 9.8 feet/s
vredina [299]3 years ago
4 0
First we write down variable values given in the text:

d=490 feet
t=10 seconds

solved for g our equation looks like:
g=2d/(t^2)

Now we replace values of variables and make calculation:

g = 2*490/100 = 9,8 feet/s^2

answer is 9,8 feet/s^2
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4 years ago
Assume the following triangles are similar. Find the scale factor and the lengths of the missing sides.
Elanso [62]

Answer:

If two figures are similar, then the correspondent sides are related by a constant factor.

For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.

Let's start with the two left triangles.

In the smaller one the base is 5, and the base of the other triangle is 15.

Then we will have:

15 = k*5

15/5 = k = 3

The scale factor is 3.

Then we will have that:

a = scale factor times the correspondent side in the smaller triangle:

a = k*3 = 3*3 = 9

a = 9

For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.

Then we will have the relation:

12*k = 20

k = (20/12) = 10/6 = 5/3

The scale factor is 5/3

This means that the unknown side b is given by:

b*(5/3) = 15

b = (3/5)*15 = 3*3 = 9

b = 9.

5 0
3 years ago
The t value for a 95% confidence interval estimation with 24 degrees of freedom is
Alborosie

Answer: the value us 2.064

Step-by-step explanation:

To determine the t value, we would need the t distribution table. Since degree of freedom is known as 24, we would determine alpha/2

A 95% confidence level is 95/100 = 0.95

1 - alpha = 0.95

alpha = 1 - 0.95

alpha = 0.05

alpha/2 = 0.05/2 = 0.025

this is the area to the left. The area to the right 1 - 0.025 = 0.975

alpha/2 = 0.975

Looking at the t distribution table, the t value is

2.064

4 0
3 years ago
There is triangle ABC triangle XYZ is similar to ABC scale factor 1/4
Agata [3.3K]

Answer:

The side that is labeled as 7 is 28 the side that is labeled as 5 shoud be 20 the side that is labeled as 4 should be 16

Step-by-step explanation:

Sorry I cant take a screen shot with my computer but here is the explanation it says that the scale factor is 1/4 so I just did 1/4  ÷  7,5,and 4

6 0
3 years ago
Please help me out with this
Tanya [424]

there are 7 verticles on this triangular prism

8 0
3 years ago
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