Aladder is leaning against a building so that the distance from the ground to the top of the ladder is 2 feet less than the length of the ladder. find the length of the ladder if the distance from the bottom of the ladder to the building is 6 feet.

Express the following as a function of a single angle, cos(60) cos(-20) - sin(60) sin(-20)

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Simplify the expression. -2/5(10+15m-20n)