Sand falls from a hopper at a rate of 0.4 cubic meters per hour and forms a conical pile beneath. suppose the radius of the cone is always half the height of the cone. (a) find the rate at which the radius of the cone increases when the radius is 2 meters. 0.05 π correct: your answer is correct. meters per hour (b) find the rate at which the height of the cone increases when the radius is 2 meters. 0.1 π correct: your answer is correct. meters per hour

c

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

u bout ugly as   a mf

step-by-step explanation: lol

80 the answer is 80

step-by-step explanation: