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)
The degree is "4" and the number of terms is "1"
-45x-5x=11-11=2-4
Step-by-step explanation:
-50x = -2
-50/-2 = x
25=x
x=25
Answer:
Step-by-step explanation:
The answer is A
Two ratios form a proportion if they are equal. If one fraction is equivalent to the other fraction, they form a proportion. To find out, reduce both fractions and see if they are equal.
A
1/2 and 4/2
Reduce 4/2 to 2/1.
1/2 and 2/1 are not equal.
1/2 and 4/2 do not form a proportion.
B
2/1 and 4/8
Reduce 4/8 to 1/2.
2/1 and 1/2 are not equal.
2/1 and 4/8 do not form a proportion
C
1/2 and 8/4
Reduce 8/4 to 2/1.
1/2 and 2/1 are not equal.
1/2 and 8/4 do not form a proportion
D
2/1 and 16/8
Reduce 16/8 to 2/1
2/1 and 2/1 are equal.
2/1 and 16/8 form a proportion.
Answer: D. 2/1 and 16/8
