If g = x - 9, and if x = 15, what is g?A)3B)6C)7D)23
2 answers:
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Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Step-by-step explanation:
Since we have given that
Height = 9 inches
Diameter = 6 inches
Radius = 3 inches
So,
Volume of cone is given by
By differentiating with respect to time t, we get that
Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie
and h = 2 inches deep.
Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Answer:
Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.
Step-by-step explanation:
A is the intersection of angle bisectors, so is the incenter of triangle EFG. It is also the intersection of the perpendicular bisectors of the sides of triangle EFG, so is the circumcenter.
The altitudes at X, Y, and Z are perpendicular to sides EF, EG, and FG, and pass through the incenter, so X, Y, Z are points on the incircle.
A is the center of circles through E, F, and G, and through X, Y, and Z.
