Abox has a base of 12 inches by 12 inches and a height of 30 inches. what is the length of the interior diagonal of the box? round to the nearest hundredth

First, find the hypotenuse of the right triangle formed by the base:

12^2 + 12^2 = c^2

c = sqrt(288) in

This will now be the length of the base of the new right triangle.

The new right triangle, with the hypotenuse as the interior diagonal, will have sides of length:

Sqrt(288) in & 30 in

Plug these in to the Pythagorean theorem:

Sqrt(288)^2 + 30^2 = c^2

288 + 900 = c^2

c = 34.47 in

The length of the interior diagonal of the box is 34.47 in.

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.