The student has 12 different possibilities for pen and color combination on the poster.
32/72
because you keep 8/3 and the multiplication sign and then flip the 24/4 to 4/24 and then solve for that and then the simplified answer would be 4/9
From the figure, the inscribed circle is the circle inside the square. So, the radius of the inscribed circle is half the side of the square. That is
4 cm.
The circumscribed circle is the circle outside the square and its radius is half the diagonal of the square. Since the square has a side length of 8 cm, the diagonal is computed as follows, using Pythagorean Theorem using half of the square taking the diagonal as the hypotenuse.

The radius is half the diagonal. So, the radius is

or (32)^(1/2).
The value of constant of variation "k" is
Solution:
Given that the direct variation is:
y = kx ----- eqn 1
Where "k" is the constant of variation
Given that the point is (5, 8)
To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1
Thus the value of constant of variation "k" is k = 8/5 or 1.6
I hope this is correct and helps!