Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to
In this problem we have
----> the radius is half the diameter
assume 
substitute the values and solve for h
Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
1.924 and 5.77
step 1: find the mean by adding up all the numbers and divide the sum by the number of numbers.
step 2: find the difference between each number and the mean, square the difference
step 3: add up all the results of step 2, divide the sum by (n-1), n is the number of numbers.
step 4: square root the result of step 3.
it is a long process.
Given:
t = 1/2 √v
v = speed of object meters per second
t = 3 seconds
3 = 1/2 √v
3 * 2 = √v
6 = √v
6² = √v²
36 meters = v
v = 36 meters per second
