# June 2010 Algebra 2 / Trigonometry Regents – Parts 3 and 4

36. The members of a men’s club have a choice of wearing black or red vests to their club meetings. A study done over a period of many years determined that the percentage of black vests worn is 60%. If there are 10 men at a club meeting on a given night, what is the probability, to the *nearest thousandth*, that *at least* 8 of the vests worn will be black?

37. Find all values of θ in the interval 0º ≤ θ ≤ 360º that satisfy the equation sin2θ = sinθ.

38. The letters of any word can be rearranged. Carol believes that the number of different 9-letter rearrangements of the word “TENNESSEE” is greater than the number of different 7-letter rearrangements of the word “VERMONT.” Is she correct? Justify your answer.

*(The three questions above are Part 3. They are worth 4 points each.)*- (
*The question below is part 4. It is worth 6 points)*

39. In a triangle, two sides that measure 6 cm and 10 cm form an angle that measures 80º. Find, to the *nearest degree*, the measure of the smallest angle in the triangle.

Number 37, there is a typo, 360 wasn’t included in the interval.

36. I think it was .167???

37. 0, 180, I don’t remember the other two…

38. She’s wrong

39. 33 degrees

“37. 0, 180, I don’t remember the other two…”

0, 180, 60, 300

caught in a bad romance