Answer:
To find the volume of a triangle pyramid, you would use the formula V = 1/3AH, where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the apex.
Hope this helps!!
The answers are as follows.
a. 9x
In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as
64^3x = (4^3)^3x = 4^9x
Which gives you the first answer.
b. 10
Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.
16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10
c. Sqrt(7.31)
This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.
Answer:
A. (7n-1) (8n-1)
Step-by-step explanation:
56n^2 -8n-7n+1
56n^2 -8n -7n+1
Factor out 8n from the first group and -1 from the second group
8n (7n-1) -1(7n-1)
Factor out the (7n-1)
(7n-1) (8n-1)
The formula for an infinite geometric sequence is the following:

Just substitute the values of

and r into the formula.



Therefore, the answer is 20.