Answer:
The height of the cone is 5.09 inches
Step-by-step explanation:
Given:
The volume of the cone = 12 cubic inches
The diameter of the cone = 3 inches
To Find :
The height of the cone = ?
Solution:
We know that the volume of the cone is
Volume = 
where
r is the radius of the cone
h is the height of the cone
Now substituting the given values
h = 5.09 inches
Step-by-step explanation:
Number of socks: 3+4+5= 12
Number of red socks= 4
Red socks/other socks= 4/12
Simplify: fraction: 1/3
percentage: 33.33%
decimal: 0.3333
Answer: 192
Step-by-step explanation:
48/6= 8 and 192/24= 8
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
A / B
= 80 / 8
= 10
Therefore the answer is 10
