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
Using the law of cosins
sin(angle) = Opposite Leg / Hypotenuse
The angle is given as 35 degree and the hypotenuse is given as 30 feet.
Sin(35) = X ( opposite leg) / 30
X = 30 * sin(35)
x = 17.2 feet.
Total height = 17.2 + 6.5 = 23.7, round to 24 feet.
The answer is 24 feet.
Answer:
$162÷24=$6.75
$6.75-per each
five pairs of socks-$6.75x5=$33.75
Answer:
D) 0.500
Step-by-step explanation:
Blue Socks = 6
Grey socks = 10
Probabilities to find :
Since there are a total of 16 socks, the probability of both socks being blue is
Probability(blue) = 
The probability of both being grey is
Probability(grey) =
(Note: After 1 sock is picked , next sock drawn would have a different probability as 1 sock is already picked so it would be 1 minus the total socks available of that color)
The probability two socks match:
Probability(blue) + Probability(grey) = 
+ 
= 
=
= 0.500
