6. Solve the problem. A carousel has a radius of 18 feet and takes 31
1 answer:
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :
So, the linear speed of the carousel is 3.64 ft/s.
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Answer:
partitions.
Step-by-step explanation:
As we know if we have x number of elements we can arrange them in x! ways.
here we have 100 elements so we can arrange them in 100! ways.
Now if we have exactly three parts and 1,2 and 3 are in different parts then let consider 1 goes to part 1, 2 goes to part 2, and 3 goes to part 3. For the remaining 97 elements, we have three options for each element, thus we can arrange the remaining 97 elements in ways/partitions.
each of these partition will contain only three elements.