purplemexican
  • purplemexican
A ball is dropped from the height of 475 centimeters. Each time it hits the floor, it rebounds to a height that is %24, percent of the previous height. Find the total distance traveled by the ball.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
welshfella
  • welshfella
This can be represented by an infinite geometric series
purplemexican
  • purplemexican
yes can you please help me figure out how to make it a infinite geometric series
welshfella
  • welshfella
on each bounce it travels same distance up and down so the common ratio will be 2*0.24 = 0.48 First term will be 465 so the series is 465, 465*0.48, 465*0.48^2...

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

welshfella
  • welshfella
and the sum to infinity = a1 ------ 1 - r where a1 = first term and r = common ratio.
purplemexican
  • purplemexican
wouldn't the first term be 475
welshfella
  • welshfella
yes 475 Typo
purplemexican
  • purplemexican
so how would i find the total distance the ball traveled @welshfella
welshfella
  • welshfella
total distance = sum to infinity ( the formula in my last post)
welshfella
  • welshfella
just plug in a1 = 475 and r = 0.48
purplemexican
  • purplemexican
\[\frac{ a1 }{ r }\]
welshfella
  • welshfella
no a1 / (1 - r)
purplemexican
  • purplemexican
sorry i forgot the 1-r
purplemexican
  • purplemexican
so the sum should be 913.461
welshfella
  • welshfella
yes
welshfella
  • welshfella
round it to tenths 913.5

Looking for something else?

Not the answer you are looking for? Search for more explanations.