(The answer is 12.082.) Juan used 12.082 meters of rope.
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Given,
Nepali speaker : 80% (Y)
Maithili speaker : 60% (X)
We know that,
Both language speaker = Y -X
Now,
Y- X
= 80- 60
= 20
Therefore, 20% people speak both languages
