A triangle has side lengths 4, 7 and 9. What is the measure of the angle across from the longest side?

92 = 42 + 72 − 2g4g7cos(A)
81 = 16 + 49 − 56cos(A)
81 = 9cos(A)
9 = cos(A)
A cannot exist!

Gabe tried to use the law of cosines to find an unknown angle measure in a triangle. His work is shown. What is Gabe’s error?

a. Gabe reversed the order of the 9 and the 4.

b. Gabe squared the numbers incorrectly.

c. Gabe should not have subtracted 56 from
16 + 49.

d. Gabe incorrectly stated that cos–1(9) is not defined.

Aschool typically sells 500 yearbooks each year for 50 dollars each. the economic calls does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. the revenue for yearbook sales is equal to the number of yearbooks sold times the price of the yearbook. let x represent the number of $5 decrease in price. if the expression that represents the revenue is written in the form r(x)=(500+ax)(50-bx). to maximize profit, what price should the school charge for the yearbooks? what is the possible maximum revenue? if the school attains the maximum revenue, how many yearbooks will they sell?

Last year amusement park received 236,758 visitors it was open every day of the year but 7 holliday’s what was the average number of visitors to the park per day

In simplified exponential notation, the expression a^2•a^-3•a 1/a 0