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
I think the answer is 1:2.8 this means there is one snail to every three animals
The dimensions would be 7√2, 7√6 and 14√2.
A 45-45-90 triangle has two equal legs and a hypotenuse that is equal to the leg multiplied by the square root of two (t, t, t√2).
A 30-60-90 triangle has legs that are equal to t, t√3, and 2t.
The longest side on the 45-45-90 triangle will be 14√2. This will also be the longest side of the 30-60-90 triangle; this gives us
2t = 14√2
Dividing both sides by 2, we have
2t/2 = 14√2/2
t = 7√2
We now have t and 2t; we lack t√3:
t = 7√2
t√3 = 7√2(√3) = 7√6.
Answer:
Answer is -2
Step-by-step explanation:
Answer:
Length = 64 cm , width =16 cm
Step-by-step explanation:
Given Perimeter = 160
Let width = x
Length = 4x
Hence perimeter =2 (length) +2 ( width)
160 = 2(4x)+2(x)
160 = 8x + 2x
160 = 10x
160/10 =x
16 = x
Hence width = 16 cm
Put the value of x in 4x
Length= 4(16)
Length =64 cm
Hence length = 64 cm, width =16 cm
