Log9 =2
3
because logz =y when x^y = z
x
Answer:
270 degrees
Step-by-step explanation:
If you want a positive number, you can say that the origin is 360 degrees. Then, being it's moving clockwise, subtract 90 degrees from 360 degrees. That will give you 270 degrees.
If you want a negative answer, you could simply say that the origin is 0 and subtract 90 from that giving you -90.
Odds are you should go with 270.
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
_____
<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
The pentagon was reflected across the x-axis. By looking at Point A, you can see x was increased 8, x+8. Also, y was increased by 2, y+2.
