The height of the cone is 4 cm (approx).
Step-by-step explanation:
Given,
The radius (r) of the cone = 4.96 cm
Volume (V) = 102 cm³
To find the height (h) of the cone.
Formula
The volume of a cone V = πr²h
Now,
According to the problem,
πr²h = 102
or, ××(4.96)²h= 102
or, h =
or, h = 3.95 = 4 (approx)
so,
Height = 4 cm (approx)
B, it should add up to 180 degrees
Answer:
A) True
Step-by-step explanation:
The x values, 1 2 3 can go to the y values B L A
However, if there were two lines at 2 1 2 3 going to any of the y values it would not be a function
Here is a picture explaining it.
Answer:
x = -6√3 or 4√3
Step-by-step explanation:
x² + 2√3 x − 72 = 0
Solve with quadratic formula, or completing the square.
To use completing the square, we first add 72 to both sides:
x² + 2√3 x = 72
Take half of 2√3, square it, then add to both sides.
x² + 2√3 + 3 = 75
Factor the perfect square:
(x + √3)² = 75
Solve for x:
x + √3 = ±√75
x + √3 = ±5√3
x = -√3 ± 5√3
x = -6√3 or 4√3
According to Vieta formula, the sum of the roots should equal b/a, and the product of the roots should equal c/a.
-6√3 + 4√3 = 2√3
-6√3 × 4√3 = -72