Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:
Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:
Then, you can find the height:
Then, knowing that:
You can calculate the volume:
The probability of drawing a white marble =
∴ the probability of drawing a white marble = ³/₁₄
Answer: x=6, y=20
Step-by-step explanation:
Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.
y=2y-20 [subtract both sides by 2y]
-y=-20 [divide both sides by -1]
y=20
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3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]
36=6x [divide both sides by 6]
x=6
Answer:
Increase the area of the deck by 12 square feet.
Step-by-step explanation:
