Answer:
True
Step-by-step explanation:
Circumcircle: A circle drawn outside a circle is called circumcircle and its center is called circum-center.
Circum-center of triangle:It is the point where the perpendicular bisectors of a triangle intersect.
The circumcenter of triangle is also the center of triangle's circumcircle.
The circumcenter is equidistant from each vertex of the triangle.
The circumcenter of right triangle falls on the side opposite the right triangle.
Hence, the circumcenter of a triangle is the center of the only circle that can be circumscribed about it.
Answer :True
the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.
if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.
1 minute......................... 6000(1) ft³
2 minutes......................6000(2) ft³
3 minutes......................6000(3) ft³
4 minutes......................6000(4) ft³
t minutes......................6000(t) ft³
before getting in the domain and range, let's find out how much air after 6 minutes.
a(6) = 6000(6)
a(6) = 36000 ft³.
now, what domain, namely values for "t" make sense?
well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?
90000/6000 = 15, after 15 minutes.
so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].
what values for the range, namely a(t), makes sense?
well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].