The volume of a square pyramid is (1/3)(area of base)(height of pyramid).
Here the area of the base is (10 ft)^2 = 100 ft^2.
13 ft is the height of one of the triangular sides, but not the height of the pyramid. To find the latter, draw another triangle whose upper vertex is connected to the middle of one of the four equal sides of the base by a diagonal of length 13 ft. That "middle" is 5 units straight down from the upper vertex. Thus, you have a triangle with known hypotenuse (13 ft) and known opposite side 5 feet (half of 10 ft). What is the height of the pyramid?
To find this, use the Pyth. Thm.: (5 ft)^2 + y^2 = (13 ft)^2. y = 12 ft.
Then the vol. of the pyramid is (1/3)(area of base)(height of pyramid) =
(1/3)(100 ft^2)(12 ft) = 400 ft^3 (answer)
Well this is a one step equation, just take 1.5 cups of salad and divide it buy 2 because you are only serving half of the people.
1.5 / 2 = .75 cups of celery
Answer:
This is the equation of a line with slope of 1 and the intercept point wit the 'y' axis is (0, 1.5)
Step-by-step explanation:
Lines have the following equation: y=mx+b, where 'm' is the slope and b is the interception with 'y' axis when 'x'=0
The attached pictures shows the equation of the line in a graph
Answer:
Step-by-step explanation:
Solve for the value of 
:
-Use <u>Distributive Property</u>:
-Combine like terms:
-Take 
and subtract it from 
:
-Subtract both sides by 
:
-Divide both sides by 
:
-Reduce the fraction to the lowest term by extracting and canceling out 
:
Therefore, the value of is 
.
