Answer:
Hi there!
The correct answer to this question is: The <u>side length</u> of the square base is 18 inches and the <u>height</u> of the pyramid is 9 inches.
Step-by-step explanation:
The equation to find the volume of a square pyramid is V= (b^2)(h/3)
we are given the volume to be 972 inches cubed, additionally we know that the base of the square is x inches, the height is x/2
then we plug in and we get 972= (x^2)(x/2/3)
then you simplify to 972 = x^3 / 6 then you multiply six on both sides and you get x^3 = 5832
cube root on both sides and you get x = 18 that means the base is 18 inches and the height is x/2 then you plug 18 in and you get the height to be 9 inches.
Answer: 11
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Explanation:
Point C is the circumcenter of triangle PQR. This means that we can draw a circle centered at C that goes through points P, Q and R at the same time. This circle has a special name: circumcircle.
The segments PC, RC and QC are all radii, so they are the same length. Pick two of the given expressions and set them equal to one another. Then solve for x
I'm going to pick the expressions for PC and RC
PC = RC
3x+7 = 5x-15
5x-3x = 7+15
2x = 22
x = 22/2
x = 11
Answer:
D. 14 feet × 11 feet × 3 feet
Step-by-step explanation:
The volume of a rectangular prism is the product of its dimensions:
V = LWH
V = (14 ft)(11 ft)(3 ft) . . . . . matches choice D
A tree diagram can be drawn for a clearer understanding. The branches of the tails can be ignored since we are not concerned about that. To find the probability along the branches, we just have to multiply the probabilities of each branch, giving you an answer of 1/128
7.13 because you would need to add the decimals together
