Answer:
Step-by-step explanation:
for the cylinder
27π = πr²h = πr²(2r) = 2πr³
for the sphere
V = (4/3)πr² = (2/3)(2πr³) = (2/3)27π
Answer:
k = 5
Step-by-step explanation:
First three terms of an AP are 3k-1, 4k+1, 6k-2.
First term is 3k-1
For an AP,
a₂-a₁=a₃-a₂
4k+1-(3k-1)=6k-2-(4k+1)
4k+1-3k+1=6k-2-4k-1
k+2=2k-3
Separating like terms,
k-2k=-3-2
-k=-5
k = 5
So, the value of k is 5.
Answer:
The last graph best represents the story
Step-by-step explanation:
Mary left for school from rest. So the initial speed is zero.
So we start from the origin and draw a straight line with a positive slope to running, that is as time increases , distance covered also increases.
When she is resting, her speed is zero so we draw a horizontal line to indicate this second phase of her journey.
After resting she still continued her journey to school.
This part also has a positive slope.
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.
Speed = distance / time
Distance = speed * time
The distance S = 44 * 1
S= 44m
To determine the time they will pass each other
500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.
456-d =44t
Second train
d = 32t
Substituting to the equation
456-32t=44t
456=76t
t= 6 hours.
The time they will pass each other is six hours.
