I require guidance please Which of these statements are correct? Select TWO that apply.
2 answers:
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The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
A thumb-wrestling match requires two thumbs, so we can either suppose that we need at least two people 
, or allow one to thumb-wrestle one's self. In either case, we'd have 
, so let's just say we need a minimum of two players.
If we add one more person to the set of players, then the first two people would need to play 1 additional match each. So
.
If we add one more person, then the first three people would again each have to play 1 more match with the new person. So
.
And so on, so that in general, the number of games needed for everyone to play exactly one match with everyone else is given recursively by
If we add one more person to the set of players, then the first two people would need to play 1 additional match each. So
If we add one more person, then the first three people would again each have to play 1 more match with the new person. So
And so on, so that in general, the number of games needed for everyone to play exactly one match with everyone else is given recursively by