Based on the given parameters about old cone, the height of the new cone is 12 inches
<h3>Equivalent ratio</h3>
Old cone:
- Radius, r = 2 inches
- Height, h = 6 inches
New cone:
- Radius, r = 4 inches
- Height, h = h
equate ratio of radius to height in old and new cone
2 : 6 = 4 : h
2/6 = 4/h
cross product
2 × h = 6 × 4
2h = 24
h = 24/2
h = 12 inches
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Answer:
Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by
, she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
2) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
3) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
Part B)
1) For 
-----> the result is an integer
2) For 
-----> the result is an integer
3) For 
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by
, she gets an integer
8%×n=2. 2÷8/100=2×100/8=100/4=25. so the answer is 25.
The only factors are 1 and 29