If tanα=b/a prove that acos2α+bcos2α=a

Rose bought a new hat when she was on vacation. the following formula describes the percent sales tax rose paid b=t-c/c

Find the maximum value of p= 4x + 5y subject to the following constraints :

In a young single person's monthly budget, $150 is spent on food, $175 is spent on housing, and $175 is spend on other items. suppose you drew a circle graph to represent this information, what percent of the graph represents housing?