A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you
r answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Show all your work for all 3 pieces: The half-sphere, the cone and the prop. See attachment for picture of cone/half sphere.
1 answer:
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Answer:
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
Answer:
Step-by-step explanation:
Given
It takes 20 min and 30 min for a person and his friend to paint a wall individually i.e.
In 1 min they cover part and
part of wall respectively.
If the work together, 1 minute work is
Time required will be reciprocal of it