A ball is dropped from a height of 6 m.After each bounce the ball rises to 2/3
of its previous height. What height
will it reach after the third bounce?
Answers
Answer:
1.7342 m
Step-by-step explanation:
in order to find this, we need to find what 2 thirds of 6 is. The answer to that is 4, because 2/3 can be changed to 4/6, which means the 1st bounce would reach a height of 4m. Now, we need to find 2 thirds of 4, which is mildly harder. In order to find the exact value, we need to find what to multiply 3 by to get to 4. Unfortunately, you cant do that. Fortunately, though, I looked it up. So, On the 2nd bounce, the ball would reach 2.6 m. Now, we need to find 2 thirds of THAT, too, which would equal, on the third bounce, 1.7342 m.
Final answer:
The height of the ball after the third bounce is approximately 1.78 m.
Explanation:
To find the height after the third bounce, we need to calculate the height after each bounce and then determine the height after the third bounce.
Given that the ball rises to 2/3 of its previous height after each bounce, we can start with the initial height of 6 m and calculate the height after the first bounce, which is 6 * 2/3 = 4 m.
Similarly, after the second bounce, the height will be 4 * 2/3 = 8/3 m. Finally, after the third bounce, the height will be (8/3) * (2/3) = 16/9 m, which is approximately 1.78 m. Therefore, after the third bounce, the ball will reach a height of approximately 1.78 m.
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Answers
2007 = 558'880
so
558'880 - 478'434 = 80446
80446 more people live in las vegas in 2007 than back in 2000
hope this helps
You would subtract the 2000 population from the 2007 population.
558,880-478,434= 80,446
b) The length of the altitude is equal to half the length of one of the segments of the hypotenuse.
c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.
d) The length of the altitude is equal to the sum of the lengths of the segments of the hypotenuse.
Answers
Answer:
Option: C is correct.
c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.
Step-by-step explanation:
By the Right Triangle Altitude Theorem:
The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
From the figure we could say that:
As the hypotenuse is divided into divided into two equal parts since the altitude bisects the hypotenuse of the right triangle.
This means that:
CD=DB
Hence,
Hence, we could say that:
c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.
Answers
Answer:
A
Step-by-step explanation:
Answers