Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to
In this problem we have
----> the radius is half the diameter
assume 
substitute the values and solve for h
Let 
be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time 
is given by
and its height is
where 
is 9.8 m/s^2, the magnitude of the acceleration due to gravity.
The time it takes for the cat to hit the ground is with
(Unfortunately, this doesn't match any of the given options...)
The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed was
(Again, not one of the answer choices...)
I'm guessing there's either a typo in the question or answers.
Just multiply w*l*h
1.89m cubed
Answer:
4. -4
5. -2
6. -3
Step-by-step explanation:
4. -12 = 5r + 8
Subtract 8 from both sides;
-20 = 5r
Divide both sides by 5;
-4 = r OR r = -4
5. -6p - 3 = 9
Add 3 to both sides;
-6p = 12
Divide both sides by -6
p = -2
6. -14 = 4x - 2
Add 2 to both sides;
-12 = 4x
Divide both sides by 4;
-3 = x OR x = -3
Answer:
D. The rate of change must be 20 pounds per minute.
Step-by-step explanation:
At time 0, the amount of sand is 200 lb. Time zero is when it starts, so it is also called the initial time. The initial value is 200 lb, so choices A and B are wrong.
Now look at the difference from time 0 minutes to time 1 minute. The amount of sand went from 200 lb to 220 lb. The amount of sand placed in 1 minute is 20 lb, so the rate of change is 20 lb per minute. That makes choice C wrong and choice D correct.
Answer: D. The rate of change must be 20 pounds per minute.
