Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
50,000 is the answer to the question
Buddy use desmos to graph this
Answer:
68°
Step-by-step explanation:
The triangle containing the 79° angle is isosceles. That means the other base angle is also 79°. The central angle is ...
V = 180° -2(79°) = 22°
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Angle X is the other acute angle in right triangle VWX, so has measure ...
X = 90° -22° = 68°
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<em>Additional comment</em>
A tangent makes a right angle with the radius to the point of tangency. W is the point of tangency, so angle VWX is a right angle.
