Answer:
B. ½
Step-by-step explanation:
9^x -1 = 2
9^x = 2+1
9^x = 3
9^x = √9
9^x = 9^½
x=½
The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and
.
The volume of a square pyramid, 
Step 2:
From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.
The height of the pyramid is from the base to the top, h =
inches .
The volume of a square pyramid, 
Substituting the known values, we get

![x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%3D%206%28972%29%20%3D%205%2C832.%20x%20%3D%20%5Csqrt%5B3%5D%7B5%2C832%7D%20%3D%2018.)
So x is 18 inches long.
The side length
inches.
The height of the pyramid
inches.
Answer:
tan(23° -21°) = (tan(23°) -tan(21°))/(1 +tan(23°)tan(21°))
Step-by-step explanation:
The formula for the tangent of the difference of angles is ...
tan(a-b) = (tan(a) -tan(b))/(1 +tan(a)tan(b))
Filling in the values a=23° and b=21°, you get the formula shown above.
Answer:
false
Step-by-step explanation:
because its the top and bottom that are parallel, not the sides