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
A. Develop a point estimate of the proportion of respondents who are you worried about a future in which robot and computer can do you many human jobs
The answer would be the first one.
I find it easier to expand the equation (you still get the same answer).
= 2 * 7x + 2 * 3y + 2 * 3
= 14x + 6y + 6
Hope this helps!
Answer:
x = -19
Step-by-step explanation:
Multiply both sides of the equation by -9.
x - 26 = -45
Add 26 to both sides.
x - 26 + 26 = -45 + 26
x = -19
LCD would be 18
8/9 = 16/18
2/3 = 12/18
1/9 = 2/18
