No if i was you i would go with the last one
Given that if a ball is dropped from x feet, it bounces up to 2/3 x feet.
And the ball is dropped from 10 feet, that is x=10 feet,
So,before the first bounce it travels 10 feet distance.
Between first and second bounce it travels 
Between second and third bounce, it travels 
Between third and fourth bounce, it travels 
Like that between 29th and 30th bounce, it travels 
Hence total distance traveled is

=![10+20[(\frac{2}{3}) +(\frac{2}{3}) ^{2} +(\frac{2}{3}) ^{3} +.....+(\frac{2}{3} )^{29} ]](https://tex.z-dn.net/?f=10%2B20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20%2B%28%5Cfrac%7B2%7D%7B3%7D%29%20%5E%7B2%7D%20%2B%28%5Cfrac%7B2%7D%7B3%7D%29%20%5E%7B3%7D%20%2B.....%2B%28%5Cfrac%7B2%7D%7B3%7D%20%29%5E%7B29%7D%20%5D)
= ![10+20[\frac{\frac{2}{3}*(1-(\frac{2}{3})^{29}) }{1-\frac{2}{3} }]](https://tex.z-dn.net/?f=10%2B20%5B%5Cfrac%7B%5Cfrac%7B2%7D%7B3%7D%2A%281-%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B29%7D%29%20%20%7D%7B1-%5Cfrac%7B2%7D%7B3%7D%20%7D%5D)
= 10+20*2*(1-
)
= 49.9997 feet ≈ 50 feet approximately.
Hello from MrBillDoesMath!
Answer:
x = 7/8
Discussion:
3[x + 3(4x – 5)] = 15x – 24 =>
3x + (3*3)(4x-5) = 15x - 24 =>
3x + 9*(4x) - (3*3)*5 = 15x - 24 =>
3x + 36x - 45 = 15x - 24 => (add 24 to each side)
3x + 36x - 45 + 45 = 15x - 24 + 45 =>
39x = 15x + 21 => (as 45-24 = 21)
39x-15x = 21 => (subtract 15x from both sides)
24x = 21 =>
x = 21/24 = -7/8
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
According to the given diagram, the diameter of the circle is 9 feet.
Remember that the radius is half the diameter, so the radius is 4.5 feet.
<h2>Hence, the answer is 4.5 feet.</h2>