The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
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For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5
Formula for a square is s^2.
(8x-1)^2=
(8x-1)(8x-1)=
64x-8x-8x+1=
64x-16x+1=
48x+1
Therefore, the area of the square mentioned in the question is 48x+1.
Answer:
The answer is 180 degrees.
Step-by-step explanation:
The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.
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Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
11/12
Step-by-step explanation:
2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4
Then your problem becomes ...
(11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12
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The numerator and denominator have no common factors, so this is lowest terms.
