Answer:
2 feet
Step-by-step explanation:
880/440 = 2
The simplification of the expression will be as follows:
(a^7b^8)/(a^4b^4)
According to the rules of indices, when you divide numbers with the same base, it's the same as subtracting their powers. Hence we shall have:
(a^7b^8)/(a^4b^4)
=(a^(7-4))(b^(8-4))
=a^3b^4
the answer is a^3b^4
Answer:
(g◦f)(x) = 2x +1
Step-by-step explanation:
(g◦f)(x) = g(f(x)) = g(2x -1) = (2x -1) +2
(g◦f)(x) = 2x +1
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Substitute f(x) for the argument in the function g(x) and simplify.
Answer:
4³
Step-by-step explanation:
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
