9514 1404 393
Answer:
(9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Step-by-step explanation:
The area of the hexagon is given by the formula ...
A = (3/2)√3·s^2 . . . . for side length s
The area of the hexagonal face of this solid is ...
A = (3/2)√3·(2 ft)^2 = 6√3 ft^2
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The area of the circular hole in the hexagonal face is ...
A = πr^2
The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.
A = π(1 ft)^2 = π ft^2
Then the area of the "solid" part of the face of the figure is ...
A = (6√3 -π) ft^2
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The volume is ...
V = Bh . . . . . where B is the area of the base of the prism, and h is its height
V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Answer:
At the end of two years Mrs.Scott earned $1929.36 (i rounded the dec.)
Step-by-step explanation:
A= p(1+r)^t
P= 1750
r= .05
t= 2
A= 1750(1+.05)^2
A= 1929.375
Y=6 because if you multiply 2/3 by 6 you get 12/3 and reducing it, that becomes 4. If you did 4 then the answer would be 8/3 and reducing that is 2 2/3
Answer:
I = $4204.8
Step-by-step explanation:
Given that,
Principal, P = $43,800
Interest rate = 4.8%
Rate = 2 years
We need to find the interest that is paid back. We know that, simple interest is given by :
Put all the values,
So, the required interest is equal to $4204.8
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