The volume of a cone varies jointly with the area of the base and the height of the cone.

where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is

Now we use the second set of info, the height and the volume, and we find the area of the base.




Answer: the area of the base is 31 cm^2
The total cost for a $1,200 washing machine is $1,200. In the real world it would be 1,200 + tax.
Answer:
42
Explanation:
Using Order of Operations, we have to evaluate the exponent first:
27 + 6(2 + 3/6)
Simplifying the fraction, we have:
27 + 6(2 + 0.5)
Add the values inside the parenthesis:
27 + 6(2.5)
Multiply:
27 + 15
Add:
42
For lesson 4 10^15/10^4= 10^11 because when you are dividing with exponents you have to subtract the bottom exponent with the top one so 15-4=11; 10^15/10^4=10^11
Answer:
4/15
Step-by-step explanation:
8/16 chance of first choco
times
8/15 because its 1 choco less after the first 1