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Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by
The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' =
Thus, the coordinates of the resulting point B' is (-1,1)
<h3>Answer: 9V</h3>
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Reason:
The volume expression of a cone with radius r and height h is
Let's plug in the given height h = 12 and we'd get
This is the volume of the first cone. We're told the first cone has a volume of V, so we can say
We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.
The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r
Replace every copy of r with 3r. Then simplify
The radius tripled which results in a volume that's 9 times bigger.