If the profit on a trick ski is $60 and the profit on a slalom ski is $50, how many of each type of ski should be manufactured each day to realize a maximum profit? what is the maximum profit?

Find the total area for the regular pyramid ( follow the answer set up in the picture)

An arc subtends a central angle measuring 7pi/4 radians what fraction of the circumference is this arc?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?