The volume of a pyramid is V = 1/3 x base length^2 x height
Let X = base length.
We are told the height is 1/2 the length, so height would be 1/2x
Now we have:
972 = 1/3 * x^2 * 1/2x
Simplifying we get:
972 = 1/6x^3
Multiply both sides by 6:
5832 = x^3
Take the cube root of both sides:
x = 18
The length of the base is 18 inches.
The height is 1/2 that, so the height would be 18/2 = 9 inches.
25 ounces of guacamole are still expected to be available from batch.
Step-by-step explanation:
Given,
Quantity of guacamole in one serving = 2.2 ounces
Quantity of guacamole in one batch = 80 ounces
Quantity of guacamole in 25 servings = 2.2*25 = 55 ounces
Guacamole left = Quantity in batch - Quantity of 25 servings
Guacamole left = 
25 ounces of guacamole are still expected to be available from batch.
Keywords: multiplication, subtraction
Learn more about subtraction at:
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Answer: The distance around the lot is given by

Step-by-step explanation:
Since we have given that
Length of rectangular lot is given by

Width of rectangular lot is given by

We need to find the distance around the lot.
As we know the formula for "Perimeter of rectangle":

Hence, the distance around the lot is given by

Answer:
$159
Step-by-step explanation:
All your doing is adding 45% and a percentage is out of 100 so to put it in decimal form it would be 0.45 added onto 159 which would give you $159.45 rounded to the nearest dollar would be $159
Answer:
C'(4, 0)
Step-by-step explanation:
Translated 6 units to the right means that the x-value increases by 6.
1 unit up means y-value increases by 1.
(-5 + 6, -1 + 1)
(-2 + 6, -1 + 1)
The second point must be C, as the translation lines it up with one of the answers.