A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Chapter 12.CR, Problem 21CR
To determine
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The two congruent triangles are similar.
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Tasks:
A company manufactures two electronic products: Chipsets and LCD. Each product contributes
differently to the profit. The production process is subject to constraints related to labour,
manufacturing space, raw materials, and production time. You are required to determine the optimal
production quantities for each product to maximize profit:
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and find the maximum profit and optimal variable values using graphical method
(40%).
Table I
Variables
Chipsets
Profit Per Unit
Assume as per convenience and Model Fit
Assume as per convenience and Model Fit
dictions: On
LCD
Table II
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Minutes
Identify the feasible region and construct the graph using the graphical method. Evaluate,
present. Find…
very time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when…
Chapter 12 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 12.1 - If quadrilateral ABCDEFGH, then complete the...Ch. 12.1 - Can you construct a triangle using the lengths...Ch. 12.1 - A triangle has two sides of length 10cm and 14cm....Ch. 12.1 - For the figure below, answer the following. a. If...Ch. 12.1 - In a circle with centre A and radius AB, let P be...Ch. 12.1 - Prob. 6MCCh. 12.1 - Prob. 7MCCh. 12.1 - Prob. 8MCCh. 12.1 - Prob. 9MCCh. 12.1 - Explain why the quadrilateral ABCD is a kite.
Ch. 12.1 - To draw the perpendicular to a line l through a...Ch. 12.1 - In the following drawing a compass is used to draw...Ch. 12.1 - Prob. 13MCCh. 12.1 - Prob. 14MCCh. 12.1 - Prob. 16MCCh. 12.1 - Prob. 17MCCh. 12.1 - Prob. 18MCCh. 12.1 - Prob. 19MCCh. 12.1 - Prob. 20MCCh. 12.1 - A student claims that all squares are congruent...Ch. 12.1 - Joel claims that the following triangles are...Ch. 12.1 - On a test, a student wrote the answer as ABCD...Ch. 12.1 - Prob. 24MCCh. 12.1 - Zara claims that in spite of the fact that every...Ch. 12.1 - Prob. 1NAEPCh. 12.1 - Which two figures are congruent? a. E and H b. F...Ch. 12.1A - If CATDOG, which of the following, if any, is...Ch. 12.1A - In TRI and ABC, TRAB, RIBC, and ITCA. Which angle...Ch. 12.1A - Find two congruent triangles in the following...Ch. 12.1A - A truss used in house construction to strengthen...Ch. 12.1A - Prob. 5ACh. 12.1A - Prob. 6ACh. 12.1A - Prob. 7ACh. 12.1A - Prob. 8ACh. 12.1A - Given three points in the plane, is it always...Ch. 12.1A - Prob. 10ACh. 12.1A - Prob. 11ACh. 12.1A - Prob. 12ACh. 12.1A - Prob. 14ACh. 12.1A - Prob. 15ACh. 12.1A - Prob. 16ACh. 12.1A - Prob. 18ACh. 12.1A - Prob. 19ACh. 12.1A - Draw a segment. Then use any instruments to...Ch. 12.1A - Prob. 21ACh. 12.1A - Prob. 22ACh. 12.1A - Given three points in the plane, is it always...Ch. 12.1B - Prob. 1ACh. 12.1B - Prob. 2ACh. 12.1B - Prob. 3ACh. 12.1B - Prob. 4ACh. 12.1B - Prove that if the convex quadrilateral ABCD has...Ch. 12.1B - Find the measure of C in the following figure.Ch. 12.1B - Prob. 7ACh. 12.1B - Prob. 8ACh. 12.1B - For each of the following, determine whether the...Ch. 12.1B - Prob. 10ACh. 12.1B - Prob. 11ACh. 12.1B - Prob. 13ACh. 12.1B - Prob. 14ACh. 12.1B - Let ABCD be a square with diagonals AC and BD...Ch. 12.1B - Prob. 19ACh. 12.1B - Prob. 20ACh. 12.1B - Prob. 21ACh. 12.2 - MATHEMATICAL CONNECTIONS a. If you know 4 parts...Ch. 12.2 - List all the methods you know to prove that two...Ch. 12.2 - Prob. 3MCCh. 12.2 - In making a quilt block out of congruence right...Ch. 12.2 - Prob. 5MCCh. 12.2 - Prob. 6MCCh. 12.2 - Prob. 7MCCh. 12.2 - Prob. 8MCCh. 12.2 - MATHEMATICAL CONNECTIONS The marked angles and a...Ch. 12.2 - Prob. 14MCCh. 12.2 - Prob. 15MCCh. 12.2 - MATHEMATICAL CONNECTIONS A student asks why...Ch. 12.2 - A student says that she knows that a parallelogram...Ch. 12.2 - Prob. 18MCCh. 12.2 - Prob. 19MCCh. 12.2 - In the following regular pentagon, use the...Ch. 12.2 - If possible, construct a triangle that has the...Ch. 12.2 - MATHEMATICAL CONNECTIONS Construct an equilateral...Ch. 12.2 - MATHEMATICAL CONNECTIONS For each of the following...Ch. 12.2A - Construct each of the following figures, if...Ch. 12.2A - ASSESSMENT For each of the conditions in exercise...Ch. 12.2A - ASSESSMENT For each of the following, determine...Ch. 12.2A - Prob. 4ACh. 12.2A - List congruent triangles, if any, for each of the...Ch. 12.2A - Prob. 6ACh. 12.2A - Suppose ABCDEF, find the following measures. a....Ch. 12.2A - Prob. 8ACh. 12.2A - Given ADEC and BDBC, Prove ABDEBC.Ch. 12.2A - Prob. 10ACh. 12.2A - In each of the following statements, identify the...Ch. 12.2A - Prob. 12ACh. 12.2A - ASSESSMENT Classify each of the following...Ch. 12.2A - Prob. 15ACh. 12.2A - Prob. 16ACh. 12.2A - The game of Triominoes has equilateral-triangular...Ch. 12.2A - ASSESSMENT In the rectangle ABCD shown, X and Y...Ch. 12.2A - Prob. 20ACh. 12.2A - Prob. 21ACh. 12.2A - Prob. 22ACh. 12.2A - ASSESSMENT What minimum information is sufficient...Ch. 12.2A - Prob. 25ACh. 12.2B - Prob. 1ACh. 12.2B - Prob. 3ACh. 12.2B - Prob. 6ACh. 12.2B - Prob. 7ACh. 12.2B - Prob. 8ACh. 12.2B - Prob. 9ACh. 12.2B - Prob. 10ACh. 12.2B - Prob. 11ACh. 12.2B - Prob. 12ACh. 12.2B - Prob. 14ACh. 12.2B - Prob. 15ACh. 12.2B - Prob. 16ACh. 12.2B - Prob. 17ACh. 12.2B - Prob. 18ACh. 12.2B - Prob. 20ACh. 12.2B - ASSESSMENT What minimum information sufficient to...Ch. 12.2B - Prob. 22ACh. 12.2B - Prob. 23ACh. 12.3 - Mathematical Connections Draw a line l and a point...Ch. 12.3 - In the figure below, AC=30. Explain why or why not...Ch. 12.3 - Prob. 3MCCh. 12.3 - a. Construct a circle O and draw two diameters....Ch. 12.3 - Mathematical Connections Place three dots, A,B and...Ch. 12.3 - Mathematical Connections Lines l and m intersect...Ch. 12.3 - Mathematical Connections Given an angle and a roll...Ch. 12.3 - Mathematical Connections If two pieces of tape of...Ch. 12.3 - Prob. 9MCCh. 12.3 - Prob. 10MCCh. 12.3 - Prob. 12MCCh. 12.3 - Prob. 13MCCh. 12.3 - Each member of the group should cut out a large...Ch. 12.3 - Prob. 15MCCh. 12.3 - MATHEMATICAL CONNECTIONS A student asked if a line...Ch. 12.3 - Prob. 17MCCh. 12.3 - MATHEMATICAL CONNECTIONS A student wants to know...Ch. 12.3 - Prob. 20MCCh. 12.3 - Use inductive reasoning to answer the following....Ch. 12.3 - Mathematical Connections In the following figure,...Ch. 12.3 - Mathematical Connections Draw ABC. Then construct...Ch. 12.3 - Mathematical Connections Given two right...Ch. 12.3 - Mathematical Connections Find the value of x.Ch. 12.3A - Prob. 2ACh. 12.3A - Prob. 3ACh. 12.3A - Prob. 4ACh. 12.3A - Prob. 5ACh. 12.3A - Prob. 6ACh. 12.3A - Prob. 7ACh. 12.3A - Prob. 8ACh. 12.3A - Prob. 10ACh. 12.3A - Prob. 11ACh. 12.3A - Prob. 12ACh. 12.3A - Prob. 13ACh. 12.3A - Prob. 14ACh. 12.3A - Describe how to construct the incircle of a...Ch. 12.3A - Prob. 16ACh. 12.3A - Prob. 17ACh. 12.3A - Prob. 18ACh. 12.3A - Use compass and straightedge to construct angles...Ch. 12.3A - Prob. 21ACh. 12.3A - Prob. 22ACh. 12.3A - Construct a circle. Then construct an equilateral...Ch. 12.3B - Prob. 3ACh. 12.3B - Mathematical Connections In the figure, OP is the...Ch. 12.3B - Prob. 5ACh. 12.3B - Assessment Construct an obtuse triangle and the...Ch. 12.3B - Prob. 7ACh. 12.3B - Prob. 8ACh. 12.3B - Prob. 9ACh. 12.3B - Prob. 10ACh. 12.3B - Prob. 11ACh. 12.3B - Prob. 13ACh. 12.3B - Prob. 14ACh. 12.3B - Prob. 15ACh. 12.3B - Prob. 16ACh. 12.3B - ASSESSMENT Explain why any rectangle can be...Ch. 12.3B - Prob. 18ACh. 12.3B - Prob. 19ACh. 12.3B - Prob. 20ACh. 12.3B - Prob. 21ACh. 12.3B - Given a circle, find an equilateral triangle for...Ch. 12.4 - Prob. 1MCCh. 12.4 - Write a description of what it takes for two...Ch. 12.4 - If two isosceles triangle have non-base angles of...Ch. 12.4 - If two right triangles have hypotenuses that are...Ch. 12.4 - Prob. 5MCCh. 12.4 - Prob. 6MCCh. 12.4 - Prob. 7MCCh. 12.4 - Prob. 8MCCh. 12.4 - Prob. 9MCCh. 12.4 - If two figures are similar but not congruent, how...Ch. 12.4 - How are the SSS and SAS similarity thoerems like...Ch. 12.4 - Prob. 12MCCh. 12.4 - Prob. 13MCCh. 12.4 - Prob. 14MCCh. 12.4 - Prob. 15MCCh. 12.4 - Prob. 16MCCh. 12.4 - Prob. 17MCCh. 12.4 - Prob. 18MCCh. 12.4 - Prob. 19MCCh. 12.4 - Prob. 20MCCh. 12.4 - A student asks whether there is an ASA similarity...Ch. 12.4 - Describe a minimal set of conditions that can be...Ch. 12.4 - The figure below shows two right angles. The...Ch. 12.4 - Prob. 2NAEPCh. 12.4A - Prob. 1ACh. 12.4A - Prob. 2ACh. 12.4A - Prob. 3ACh. 12.4A - Prob. 4ACh. 12.4A - Prob. 5ACh. 12.4A - Prob. 7ACh. 12.4A - Prob. 8ACh. 12.4A - Prob. 9ACh. 12.4A - Prob. 10ACh. 12.4A - Prob. 11ACh. 12.4A - A photocopy of a polygon was reduced by 80 and...Ch. 12.4A - Sketch two hexagons with corresponding sides...Ch. 12.4A - Prob. 15ACh. 12.4A - Prob. 16ACh. 12.4A - In the following figure, find the distance AB...Ch. 12.4A - Prob. 18ACh. 12.4A - Prob. 19ACh. 12.4A - a. Examine several examples of similar polygons...Ch. 12.4A - Prob. 21ACh. 12.4A - The midpoints M,N,P,Q of the sides of a...Ch. 12.4A - Prob. 23ACh. 12.4A - Prob. 24ACh. 12.4B - School pictures come in 8in.by10in., 5in.by7in....Ch. 12.4B - Prob. 2ACh. 12.4B - Prob. 4ACh. 12.4B - Prob. 5ACh. 12.4B - Prob. 9ACh. 12.4B - Prob. 12ACh. 12.4B - Prob. 13ACh. 12.4B - Prob. 14ACh. 12.4B - To find the height of a tree, a group of Girl...Ch. 12.4B - Prob. 17ACh. 12.4B - Prob. 18ACh. 12.4B - Prob. 19ACh. 12.4B - Prob. 20ACh. 12.4B - a. In the figure, ABCD is a trapezoid, M is the...Ch. 12.4B - ABCD is a convex quadrilateral and M,N,P,Q are the...Ch. 12.4B - Prob. 23ACh. 12.4B - Prob. 24ACh. 12.CR - Each of the following figures contains at least...Ch. 12.CR - Prob. 2CRCh. 12.CR - Prob. 3CRCh. 12.CR - Prob. 4CRCh. 12.CR - Prob. 5CRCh. 12.CR - Prob. 6CRCh. 12.CR - Prob. 7CRCh. 12.CR - Prob. 8CRCh. 12.CR - Prob. 9CRCh. 12.CR - Prob. 10CRCh. 12.CR - Prob. 11CRCh. 12.CR - Prob. 12CRCh. 12.CR - Prob. 13CRCh. 12.CR - Prob. 14CRCh. 12.CR - Prob. 15CRCh. 12.CR - Prob. 16CRCh. 12.CR - Determine the vertical height of playground slide...Ch. 12.CR - Prob. 18CRCh. 12.CR - Prob. 19CRCh. 12.CR - Prob. 20CRCh. 12.CR - Prob. 21CRCh. 12.CR - ABCD is a trapezoid with BCAD. Points M and N are...Ch. 12.CR - Prob. 23CRCh. 12 - Assume ABCDEF. a. List the congruent angles and...Ch. 12 - Prob. 2NTCh. 12 - Prob. 3NTCh. 12 - Prob. 4NTCh. 12 - Prob. 5NTCh. 12 - Prob. 6NTCh. 12 - Prob. 7NTCh. 12 - Prob. 8NTCh. 12 - Are all right triangles in which the hypotenuse is...
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