Let
be the area of the sector in the larger circle (radius 12 cm) whose central angle is subtended by the labeled arc with measure 45 deg, and let
be the area of the sector in the smaller circle (radius 8 cm) with the same central angle. The area you want is
.
We have


So the area of the shaded region is
.
Because it is BELOW sea level after 10 minutes, it straight away cannot be A) or B), because ascended means going up, so it has to be either C) or D).
I believe the answer is C), as the answer for D) would be -40 meters per minute, but it's still 40. I'm not sure though, so it's either C) or D).
Answer:
(0, 24]
Step-by-step explanation:
The horizontal extent of the graph is from 0 to 24. There is an open circle at x=0, and a closed circle at x=24. Hence, the domain of the function is ...
0 < x ≤ 24
In interval notation, this is
(0, 24]
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We note that this is not one of your answer choices. You may want to discuss this with your teacher.