Prove that the area of a rhombus is equal to half the product of its diagonals

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

What is the prime factorization of 230

Calculate the missing value. round the answer to on decimal place. start with 70, increase it by 21%, and end up with