The volume of the remaining paint is:
V1 = (1/4) * (pi) * (r ^ 2) * (h)
Where,
r: radio
h: height
Substituting values we have:
V1 = (1/4) * (3.14) * (8 ^ 2) * (20)
V1 = 1004.8 cm ^ 3
The smallest can volume is:
V2 = pi * r ^ 2 * h
Substituting values:
V2 = (3.14) * 5 ^ 2 * h
Matching the volumes:
V2 = V1
(3.14) * 5 ^ 2 * h = 1004.8
Clearing h:
h = (1004.8) / ((3.14) * 5 ^ 2)
h = 12.8 cm
Answer:
The height of the smallest part of the paint is:
h = 12.8 cm
Answer:
2x^2 + x - 1
If I did anything you didn't understand let me know so I can explain.
Step-by-step explanation:
All of them are quadratics so let's use that.
The first one is 2x^2 + x - 1. To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them. Something to notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry. So I am going to ignore the constant, because then finding the zeroes is much much simpler. I am going to do this with all opions.
So 2x^2 + x - 1 I am just going to use 2x^2 + x. If you factor out an x you get x(2x + 1) So now we have it in factored form and we know the zeroes are 0 and -1/2. The number directly in between these is -1/4, so the axis of symmetry is x = -1/4. I don't know if there is only one with that axis of symmetry so i am going to check the rest.
2x^2 - x + 1 means we are only going to look at 2x^2 - x. factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.
x^2 + 2x - 1 we only use x^2 + 2x. Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1
x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.
So yep, it was just the first one.
Answer:
42:53 would be the answer
Step-by-step explanation:
