Answer:
m =
Step-by-step explanation:
The slope of (0,3) (4,1) =
Hope this helps :)
Answer:
Step-by-step explanation:
The fomula of a volume of a cylinder:
We have r = 12m and H = 9m. Substitute:
Answer: 43 degrees
Explanation: All of the angles inside of a triangle add to equal 180 degrees. All you have to do is subtract the two angle measures from 180 degrees to get the answer.
180-90-47=43 degrees
The way the question is phrased, it sounds like the height stays fixed at 18 in. If <em>L</em> and <em>W</em> denote the raft's length and width, respectively, then its volume <em>V</em> is given by
<em>V</em> = 18 <em>L</em> <em>W</em>
Differentiating both sides with respect to time <em>t</em> gives
d<em>V</em>/d<em>t</em> = (18 in) <em>W</em> d<em>L</em>/d<em>t</em> + (18 in) <em>L</em> d<em>W</em>/d<em>t</em>
We're told that d<em>L</em>/d<em>t</em> = -1 in/s and d<em>W</em>/d<em>t</em> = -2 in/s, so that at the moment <em>L</em> = 11 in and <em>W</em> = 4 in, the volume is changing at a rate of
d<em>V</em>/d<em>t</em> = (18 in) (4 in) (-1 in/s) + (18 in) (11 in) (-2 in/s)
d<em>V</em>/d<em>t</em> = -468 in³/s
so the raft is losing air at a rate of 468 in³/s. (Note that "losing" captures the negative sign from before.)