The absolute value of 15.3 is the opposite of 15.3?

No. The absolute value of 15.3 is 15.3, not the opposite.

Step-by-step explanation:

Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.