Answer:
It is given that the volume of a cone = 
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
=
It is given that the height is 'x' units.
Therefore, 
Therefore, r = 3x
So, the expression '3x' represents the radius of the cone's base in units.
<span>Since: v =sqrt(3)/2 s^2h
6779 liters x 0.0353cu ft/1 liter= 239.299 cu ft
but by proportion s/h = 10/25
s = 10/25 h
and v = sqrt(3)/2 (10/25 h)^2 h
239.299 = 0.139 h^3
h = (239.299/0.139)^(1/3) = 11.985 ft</span>
Answer:
Option B. 
Step-by-step explanation:
we have
Solve for w
That means ----> isolate the variable w
Multiply by 5 both sides to remove the fraction
subtract 8 both sides
Rewrite
New Workshop: 4,134,232,638,937
Old Workshop: 22,912,546,992
New/Old = 180.435
The new workshop can produce approximately 180 times as many toys as the old workshop.
Answer: False, there are actually 900 different three-digit numbers
========================================================
Explanation:
The three digit numbers span from 100 to 999, including both endpoints.
This means we have 999-100+1 = 900 different three-digit numbers.
You subtract the endpoints (large-small) and add 1 to include the lower endpoint.
Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.
