Hello. I shall allow someone else to solve the question 62. I am unable to solve it.
63) We are given a right triangle prism with an area of 450. L=15, and B=5.
This means the (5*15*(AB))/2 = 450 so 900 = 75(AB), so AB = 900/75 = 12.
Notice how we are given that there is a right triangle. This means that we can apply the Pythagorean Theorem. a²+b²=c². a = 5, b = 12. If you know the basic Pythagorean Triples, then you will remember the (5, 12, 13) one.
This means that our missing side is 13.
Sorry, Melody. I know this is a slightly hard problem, at least for me. I looked over your working to comprehend it, and it looks a bit like what I had done. My answer had only a slight arithmetic error, and hence the difference.
However, both of our answers appear to be wrong! Here is the answer I recieved from my source:
There are 10 options for the numeric value of the two cards in the pair. Once we selected it, there are C(5,2)=10 ways to pick which two suits the cards in the pair will come from. There are then C(9,3) = 84 ways to choose the numbers on the final three cards, and 5 choices for the suit for each card, giving us a total of 10*10*84*5³ = 1,050,000 ways.
Hello. This is a difficult mixture problem. The following link directs you to a SIMILAR problem. I how it offers a general idea: