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We are given that the angle a is the right angle. So let us work from this.
ab = 12 (the vertical side of the triangle)
bc = 13 (which if drawn can be clearly observed to be the hypotenuse) = the side opposite to angle a
ca = 5 (the horizontal side of the triangle)
Since we are to find for the cosine ratio of angle c or angle θ, therefore:
cos θ = adjacent side / hypotenuse
cos θ = ca / bc
cos θ = 5 / 13
Check out the attached image below for the illustration of the triangle.
Answer:
The number of ways to select 5 diamonds and 3 clubs is 368,082.
Step-by-step explanation:
In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.
Compute the probability of selecting 5 diamonds and 3 clubs as follows:
The number of ways of selecting 0 cards from 13 hearts is:
The number of ways of selecting 3 cards from 13 clubs is:
The number of ways of selecting 5 cards from 13 diamonds is:
The number of ways of selecting 0 cards from 13 spades is:
Compute the number of ways to select 5 diamonds and 3 clubs as:
Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.