34 Two sides of a parallelogram are 24 feet and 30 feet. The
measure of the angle between these sides

is 57°. Find the area of the parallelogram, to the nearest
square foot.

**PART III**

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?

38 The letters of any word can be rearranged. Carol believes
that the number of different 9-letter

arrangements of the word “TENNESSEE” is greater than the number
of different 7-letter

arrangements of the word “VERMONT.” Is she correct? Justify your
answer.

**PART IV**

39 In a triangle, two sides that measure 6 cm and 10 cm form
an angle that measures 80°. Find, to the

nearest degree, the measure of the smallest angle in the
triangle.

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