Lets write formulas for volume of both cone and can
Cone:
Vc = Bc*Hc/3
Can:
V = B*H
where B is basis and H is height for each
Now because cone fits perfectly inside can that means that both B and H are the same
from this we can see that cone has 3 times less volume than a can that cone is inside of.
if can has 36 volume that means that cone has:
36/3 = 12 volume
Answer is 12.
Answer:
8 and 10
Step-by-step explanation:
Our first step is to set x as the other side length, and y as the hypotenuse. We get that 6 + x + y = 24, and x + y = 18. The area gives us that 6x = 24(2) = 48. We then divide both sides by 6 and we get x = 8. We have x = 8 so we plug that into the equation x + y = 18 and we get that y = 10. So the other side lengths are 8 and 10.
To do this problem you must find the GCF or the greatest common factor of 36 and 42. For example 36 can be made by 1 and 36 2 and 18 3 and 12 4 and 9 and 6 and 6. 42 can be made by 1 and 42 2 and 21 3 and 14 and 6 and 7. The highest common factor is 6. So, if you put 6 berries on all of the desserts, you will put 6 strawberries on 6 tarts and 6 blueberries on 7 tarts. That’s a total of 13 desserts
Answer:
The value of
is
.
Step-by-step explanation:
We know that the position function is given by

Velocity is defined as the rate of change of position. Therefore,

So, the velocity function is

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).
So, the value of
is
.
The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.
<h3>What is a function?</h3>
A function is a rule or expression showing the relationship between a dependent and independent variable.
We have the function to be;
f(x) = 3/ 4(x + 2)
Let's find f(-5), substitute the value of x as -5
f(-5) = 3/ 4 ( -5 + 2)
f(-5) = 3/ 4 × -3
f(-5) = -1/ 4
f(2), substitute the value of x as 2
f(2) = 3/ 4(2 + 2)
f(2) = 3/ 4 (4)
f(2) = 3/ 16
f(4) = 3/ 4 ( 4 + 2)
f(4) = 3/ 4(6)
f(4) = 3/ 8
Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.
Learn more about functions here:
brainly.com/question/4025726
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