The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles
right triangle. What is the area of the triangular base? What is the length of edge DF?
2 answers:
Answer:
Step-by-step explanation:
volume = area of base * height = area of base * 9 = 72
-> area of base = 72/9 = 8
let a,b,c be the length of sides of isosceles right triangle base
we have a = b and a*b/2 = 8 ft2
-> a*a/2 = 8ft2
-> a*a = 16
-> a=4ft=b
have c^2 = a^2 + b^2 = 16 +16 = 32
-> c = = 5.656 ft
Since i dont know that is DF, i calculate both a,b and c
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Answer:
34
Step-by-step explanation:
Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.
The general formula of that geometric sequence will be: t = 1 + 2^(n-1)
We need to find the value of n when t will be over 5,000,000,000.
So, the equation becomes:
5,000,000,001 = 1 + 2^(n-1)
(n-1) * log(2) = log(5,000,000,000)
n-1 = log(5,000,000,000) / log(2)
n-1 = 22.25
n = 33.25
Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.