Answer:
h = 9 units of length
Step-by-step explanation:
Volume of a circular right cone is:
V(c) = (1/3)*Area of the circular base * h
Where h is the height of the cone, then
V(c) = (1/3) * π * r² * h
And we have that V(c) = 108*π
Then:
108 * π = (1/3) * π * r² * h (1)
We know diameter of the circular base is 12 units, according to that
r = d/2 ⇒ r = 12/2 r = 6 units
Then:
108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]
When simplifying we have to take into account that in order to keep last equation h needs to have units of length
Therefore:
108 = (1/3) * 36 * h
h = ( 108* 3 )/ 36
h = 9 units of length
The best and most correct answer among the choices provided by your question is the fourth option or letter D. The expression that represents Graham's sales is 2a − 6. Twice the sales of Adrianne, deducted by 6 should be Graham's sales.
Hope this helps!
To get the answer you have to divide the sale price $172.80 by 73%.
So first you turn 73% into a decimal by moving the decimal two places to the left turning it into .73
$172.80 divided by .73 = $236.71
You can check by then multiplying $236.71 with .73
Step-by-step explanation:
Comparing Rational Numbers:
1/7 , 3/9 , 0.2
0.142857... , 0.333333... , 0.2
a= 1/7
b= 0.2
c= 3/9
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Answer:
= 20 - 9n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 11 = - 7 - 2 = - 9
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = - 9 , then
= 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n