Math Exam 2: Solutions for Prof. Brick's Math for Elem Ed II, Fall ’05, Section 101, Exams of Elementary Mathematics

Solutions for exam 2 of prof. Brick's math for elem ed ii course, fall ’05, section 101. Problems on pie charts, equations, triangles, statistics, geometry, similar triangles, mean scores, pizza temperature, and angle trisection.

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2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math for Elem Ed II; Exam 2 Math 202
Fall ’05 section 101
Print your name:
Show all of your work, and explain your reasoning.
1. The corporation Typharmco spends 15% of their budget on research. They spend
7/17 of what remains on marketing. Make up a pie chart with three categories marketing,
research, and other. Find both the angles and the percentages. Show and explain your
work.
2. Find the equation through the point (3,1) and parallel to 5y+x=π. Sketch a graph
showing both lines and the point, labeling each of the two lines to indicate which is which.
pf3
pf4
pf5

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Prof. S. Brick Math for Elem Ed II; Exam 2 Math 202

Fall ’05 section 101

Print your name:

Show all of your work, and explain your reasoning.

  1. The corporation Typharmco spends 15% of their budget on research. They spend 7 /17 of what remains on marketing. Make up a pie chart with three categories marketing, research, and other. Find both the angles and the percentages. Show and explain your work.
  2. Find the equation through the point (− 3 , 1) and parallel to 5y + x = π. Sketch a graph showing both lines and the point, labeling each of the two lines to indicate which is which.
  1. A triangle has six numerical quantities: the lengths of its 3 sides and the measures of its 3 angles. Suppose you know exactly two of the sides and one of the angles. When do you have a congruency result? When do you not have a congruency result?
  2. Draw a box and whisker plot for the data 4, 12 , 9 , 24 , 13 , 14 , 10 , 9 , 20.
  1. Professor Zer teaches two classes. His daytime class has 18 students and his evening class has 32 students. Both classes have to take a skills test. On the skills test, the daytime class has a mean score of 90 and the evening class has a mean score of 70. Find the mean score of all of Professor Zer’s students.
  2. At noon Professor Zer takes a frozen pizza out of the freezer and puts it in a preheated oven to cook. After 15 minutes, he removes it and lets it sit to cool down for 5 minutes before eating. Let f (t) be the average temperature of the pizza in degrees Fahrenheit where t is time in minutes since noon. Sketch a graph of the f (t) for 0 ≤ t ≤ 20, labeling values on both axes.
  1. At a math rave, a stranger offers to sell you a a proof that angles can be trisected using straightedge and compass only. What do you tell him and why? What method did we use in class to trisect angles?
  2. Farmer Zer has chicken and cows. All together he has 140 farm animals. If there are a total of 410 feet among the animals, find how many chicken and how many cows he has.