Answer:
Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor.
For dilation factor k, the new coordinates are ...
(x, y) ⇒ (kx, ky)
Your dilation factor is 3, so the transformation is ...
(x, y) ⇒ (3x, 3y)
A(-1, 4) ⇒ A'(-3, 12)
B(3, 2) ⇒ B'(9, 6)
C(-2, -2) ⇒ C'(-6, -6)
<u>Given</u>:
A cylindrical tank has a height of 10 feet.
The radius of the cylindrical tank is 4 feet.
Jane fills the tank with water at a rate of 8 cubic feet per minute.
We need to determine the time it will take for Jane to completely fill the tank without overflowing it.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
Substituting the values, we have;
Thus, the volume of the cylinder is 502.4 cubic feet.
<u>Time taken:</u>
The time taken can be determined using the formula,
Substituting the values, we have;
Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.