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Math Exam 2 Solutions for Math 202 - Summer '04, Section 101, Exams of Elementary Mathematics

The solutions to exam 2 for prof. Brick's math for elementary education ii course, math 202, during the summer '04 term. The exam covers various math topics such as finding the circumference of a circle, determining the number of intersections between a line and a simple closed curve, and calculating the number of vertices in a polyhedron.

Typology: Exams

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math for Elem Ed II; Exam 2 Math 202
Summer ’04 section 101
Print your name:
Show all of your work, and explain your reasoning.
1. Find the circumference of a circle with area 15πsquare meters.
2. A typical juice orange has diameter 2 inches. It produces enough juice for one person’s
breakfast. Using radioactivity, you manage to grow juice oranges of radius 10 inches. How
many breakfast servings of juice will it produce ? Do not compute any volumes.
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Download Math Exam 2 Solutions for Math 202 - Summer '04, Section 101 and more Exams Elementary Mathematics in PDF only on Docsity!

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

Summer ’04 section 101

Print your name:

Show all of your work, and explain your reasoning.

  1. Find the circumference of a circle with area 15π square meters.
  2. A typical juice orange has diameter 2 inches. It produces enough juice for one person’s breakfast. Using radioactivity, you manage to grow juice oranges of radius 10 inches. How many breakfast servings of juice will it produce? Do not compute any volumes.
  1. Can a straight line transversely intersect (i.e., cutting across) a simple closed curve exactly 821 times? Why or why not?
  2. During an interval of fifteen minutes, through how many degrees does the minute hand of a clock move? the hour hand?
  1. Here are a few facts: there are 3 teaspoons to a tablespoon and 4 tablespoons to a quarter cup; there are 8 ounces to a cup; a coffee cup holds 6 ounces. Using these facts, determine how many teaspoons of sugar should be added to a cup of coffee if you want to have 1 part sugar to 12 parts liquid. Be explicit about how you use the units.
  2. Prove that the measure of an exterior angle of a triangle is greater than the measure of either of the opposite interior angles.
  1. At noon a car leaves town heading due west at 60mph. At 1pm a second car leaves town heading due south at 45mph. How far apart (as the crow flies) are the two cars at 1:40pm?
  2. Suppose a, b, and c are lengths of a triangle and c = 2 feet and b = 16 inches. What are the possible values for a.