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

June 23, 2010 am30 6:36 am

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.

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5 Comments leave one →
  1. Noel permalink
    June 23, 2010 pm30 2:53 pm 2:53 pm

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

  2. ryan permalink
    June 24, 2010 am30 10:25 am 10:25 am

    36. I think it was .167???

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

    38. She’s wrong

    39. 33 degrees

  3. Anon. permalink
    June 24, 2010 pm30 1:24 pm 1:24 pm

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

    0, 180, 60, 300

  4. ryan permalink
    June 24, 2010 pm30 5:49 pm 5:49 pm

    caught in a bad romance

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