For this case we must find the value of n of the following equation:
Taking common factor "n" from the left side of the equation we have:
Multiplying by 5 on both sides of the equation:
Dividing between 6 on both sides of the equation:
Thus, the value of n is 20.
Answer:
2/9 is less than 2/5 because since the denominator is larger, the pieces are smaller. (Numerator)
Answer:
yellow
Step-by-step explanation:
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
As the angle sum of triangle is 180
with one angle is 60 the sum of the remains two angles is 120
let the smallest angle be x
as the larger angle is twice of the smaller angle, it will be 2x
therefore, x+2x = 120, x= 40
so the smallest angel of the triangle is 40 degree
