Mathematics for Elementary Teachers with Activities, Books a la carte edition (5th Edition)
5th Edition
ISBN: 9780134423319
Author: Sybilla Beckmann
Publisher: PEARSON
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Textbook Question
Chapter 10.1, Problem 2P
Given that the indicated lines in Figure 10.30(a) are parallel, determine the unknown angles without actually measuring them. Explain your reasoning briefly
figure 10.30 determine the unknown angles in (a) an (b)
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Pidgeonhole Principle
1. The floor of x, written [x], also called the integral part, integer part, or greatest integer, is defined
as the greatest integer less than or equal to x. Similarly the ceiling of x, written [x], is the smallest
integer greater than or equal to x. Try figuring out the answers to the following:
(a) [2.1]
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(c) [2.9]
(d) [2.1]
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2. The simple pidgeonhole principle states that, if you have N places and k items (k> N), then at
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have N = 12 chairs and k = 18 students. Then at least one chair must have more than one student on
it.
3. The general pidgeonhole principle states that, if you have N places and k items, then at least one
hole must have [] items or more in it. Try this out with
(a) n = 10 chairs and k = 15 students
(b) n = 10 chairs and k = 23 students
(c) n = 10 chairs and k = 20 students
4. There are 34 problems on these pages, and we…
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
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1 Point
Determine if the set of vectors spans R³.
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The everything combined problem
Suppose that a computer science laboratory has 15 workstations and 10 servers. A cable can be used to
directly connect a workstation to a server. For each server, only one direct connection to that server can be
active at any time.
1. How many cables would you need to connect each station to each server?
2. How many stations can be used at one time?
3. How many stations can not be used at any one time?
4. How many ways are there to pick 10 stations out of 15?
5. (This one is tricky) We want to guarantee that at any time any set of 10 or fewer workstations can
simultaneously access different servers via direct connections. What is the minimum number of direct
connections needed to achieve this goal?
Chapter 10 Solutions
Mathematics for Elementary Teachers with Activities, Books a la carte edition (5th Edition)
Ch. 10.1 - Tiffany says that the angle at A in Figure 10.29...Ch. 10.1 - Given that the indicated lines in Figure 10.30(a)...Ch. 10.1 - Given that the indicated lines in Figure 10.30 (b)...Ch. 10.1 -
Ch. 10.1 - Ed the robot is standing at point A and will walk...Ch. 10.1 - Draw a map that shows the following route leading...Ch. 10.1 - In your own words, give a clear, logical...Ch. 10.1 - Figure 10.33 shows a rectangle subdivided into...Ch. 10.1 - Given that the lines In Flgure 10.34 marked with...Ch. 10.1 - Determine the sum a+b+c+d+e+f of the angles in the...
Ch. 10.1 - Given that the lines marked with arrows in Flgure...Ch. 10.1 - Determine the sum of the angles at the star...Ch. 10.2 - Figure 10.46 9 depicts sun rays traveling toward 3...Ch. 10.2 - Figure. 10.48 shows a cross-section of Joey's toy...Ch. 10.2 - Figure. 10.49 shows a sketch of a room that has a...Ch. 10.2 - Many people mistakenly believe that the seasons...Ch. 10.2 - Refer to Figure 10.50 , 10.51 , 10.52 , and 10.53...Ch. 10.2 - 'Department store dressing rooms often have large...Ch. 10.2 - 'A concave mirror is a mirror that curves In, like...Ch. 10.2 - A convex mirror Is a minor that curves out, so...Ch. 10.2 - A convex mirror is a mirror that curves out, so...Ch. 10.3 - Smallville Is 7 miles south of Gotham. will is 8...Ch. 10.3 - A new mall is to be built to serve the towns of...Ch. 10.3 - A radio beacon indicates thata certain dolphin is...Ch. 10.3 - A new Giant Superstore is being planned somewhere...Ch. 10.3 - Part 1 of Class Actlvlty 10O on circle designs...Ch. 10.4 - Students sometimes get confused about the...Ch. 10.4 - Draw a Venn diagram or other clear diagram showing...Ch. 10.4 - Draw a Venn diagram or other clear diagram that...Ch. 10.4 - a. Describe how four children could use 4 pieces...Ch. 10.4 - Figure 10.85 shows a method for constructing...Ch. 10.4 - a. Fold and cut paper to make an isosceles...Ch. 10.4 - Draw a line segment AB that is 4 inches long. Now...Ch. 10.4 - a. Use a ruler and compass to help you draw a...Ch. 10.4 - Is there a triangle that has one side of length 4...Ch. 10.4 - Create two different rhombuses, both of which have...Ch. 10.4 - Prob. 11PCh. 10.4 - In a paragraph, discuss how the detinition of...Ch. 10.4 - Give instructions telling Robot Rob how to move...Ch. 10.4 - Give instructions telling Automaton Annie how to...Ch. 10.4 - a. Flgure 10.87 shows 3 pairs of parallel line...Ch. 10.4 - a. Given a parallelogram with angles a, b, c. and...Ch. 10.4 - What is wrong with the diagram for the problem In...Ch. 10.4 - Given a right triangle that has angles a, b, and...Ch. 10.4 - Use the idea of walking and turning around a shape...Ch. 10.4 - a. Determine the angles in a regular pentagon....
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