Answer: 137.25π ≈ 431.18 cm³
<u>Step-by-step explanation:</u>
Entire Cone - Tip of Cone = Frustrum
Answer:im sorry this is very confusing
Step-by-step explanation:
This is a problem for which you will have to use the Pythagorean theorem.
The Pythagorean theorem states that:
x^2 + y^2 = h^2
where x and y are the legs, and h is the hypotenuse.
Let h = 20 ft, and x = 16
16^2 + y^2 = 20^2
Now, solve for y.
256 + y^2 = 400.
256 - 256 + y^2 = 400 - 256
y^2 = 144
y = 12
The length of the other leg is 12 feet.
Answer:
Step-by-step explanation:
Since the coefficient of x^2 is positive, this quadratic is a parabola in the shape of a U, hence has a minimum.
We want to end up with the form (x-h)^2 + c. Since (x-h)^2>=0, this form shows that the minimum is achieved when x=h.
Completing the square will put the quadratic in the desired form. Note that:
(x-h)^2=x^2-2hx+h^2
Comparing this with the given form, we must have -8=-2h, or h=4. But we are missing h^2=4^2=16. We can add the missing 16 and subtract it elsewhere without changing the quadratic.
x^2-8x+16 + (16-4) = (x-4)^2 + 12
Now we know that at x=4 the quadratic has a minimum and that the minimum is 12.
Any equation given, with a variable, could be solved by applying the inverse operation.
Example:-
4 + x = 8
-4 -4
x = 8 -4
x = 4
Answer; x = 4