the ratio of 100/450 is 600/2700
<span>Since 360 is a multiple of 120, it is automatically the LCM of this problem.
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there are 4 tens in a deck so probability of picking a ten is 4/52 reduced to 1/13
there are 13 clubs in a deck, probability for that is 13/52 reduced to 1/4
probability for both is 1/13 x 1/4 = 1/52
You have to go at this in a round-about fashion...by finding the length of the leg across from the 67 degree angle. This is found by using the tangent ratio...Tan(67)=x/137; x=137tan(67) = 322.8. Now you can use this in one of two ways: use Pythagorean's Theorem to find the length of the hypotenuse OR you could use the sin67=322.8/x. Up to you. Either way, make sure you have your calculator in degree mode!