One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).
Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.
In this problem, the order in which the flags are visited is important, hence the <em>permutation formula</em> is used to solve this question.
<h3>What is the permutation formula?</h3>The number of possible permutations of x elements from a set of n elements is given by:
The first flag is blue, then the remaining 7 are taken from a set of 14, hence:
There are 17,297,280 different signals consisting of 8 flags.
More can be learned about the permutation formula at brainly.com/question/25925367