A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134466378
Author: Angel
Publisher: PEARSON
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Chapter 4.5, Problem 6E
To determine
To find: The value of
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In Exercises 113–114, find the area of the large rectangle in two
ways:
a. Find the sum of the areas of the four smaller rectangles.
b. Multiply the length and the width of the large rectangle
using the FOIL method. Compare this product with your
answer to part (a).
113.
114.
4
3
A rectangle has a width of 13.57 feet and diagonal of 48.26 feet.
Which of the following is the perimeter of v [ Choose]
the rectangle? (in feet)
119.766
633.556
Which of the following is the area of the
549.11
rectangle? (in square feet)
108.07
628.467
120.516
8. Enclosing a Field You have 16 miles of fence that
you will use to enclose a rectangular field.
a. Draw a picture to show that you can arrange
the 16 miles of fence into a rectangle of width
3 miles and length 5 miles. What is the area
this rectangle?
b. Draw a picture to show that you can arrange
the 16 miles of fence into a rectangle of width
2 miles and length 6 miles. What is the area
this rectangle?
c. The first two parts of this exercise are designed
to show you that you can get different areas for
rectangles of the same perimeter, 16 miles. In
general, if you arrange the 16 miles of fence into
a rectangle of width w miles, then it will enclose
an area of A = w(8 – w) square miles.
i. Make a graph of the area enclosed as a
function of w, and explain what the graph is
showing.
Chapter 4 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Practice The Skills In Exercises 9-14: write the...
Ch. 4.1 - Prob. 11ECh. 4.1 - Practice The Skills In Exercises 9-14: write the...Ch. 4.1 - Prob. 13ECh. 4.1 - Practice The Skills In Exercises 9-14: write the...Ch. 4.1 - Prob. 15ECh. 4.1 - In Exercises 15-20, write the numeral as an...Ch. 4.1 - Prob. 17ECh. 4.1 - In Exercises 15-20, write the numeral as an...Ch. 4.1 - Prob. 19ECh. 4.1 - In Exercises 15-20, write the numeral as an...Ch. 4.1 - Prob. 21ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 23ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 25ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 27ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 29ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 31ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 33ECh. 4.1 - In Exercises 33-44, write the numeral as a Roman...Ch. 4.1 - Prob. 35ECh. 4.1 - In Exercises 33-44, write the numeral as a Roman...Ch. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - In Exercises 33-44, write the numeral as a Roman...Ch. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - In Exercises 45-52, write the Chinese numeral as a...Ch. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - In Exercises 67-72, write the numeral as an Ionic...Ch. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - Prob. 75ECh. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Prob. 79ECh. 4.1 - Prob. 82ECh. 4.1 - Which year in the past 2000 years required the...Ch. 4.2 - In Exercises 1-10, fill in the blanks with an...Ch. 4.2 - Prob. 2ECh. 4.2 - In Exercises 1-10, fill in the blanks with an...Ch. 4.2 - In Exercises 1-10, fill in the blanks with an...Ch. 4.2 - Prob. 5ECh. 4.2 - In Exercises 1-10. fill in the blanks with an...Ch. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Warm Up Exercises In Exercises 1-10, fill in the...Ch. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Exercises 21-26, write the Babylonian numeral...Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - In Exercises 33-38, write the Mayan numeral as a...Ch. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - In Exercises 33-38, write the Mayan numeral as a...Ch. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Describe two ways that the Mayan place-value...Ch. 4.2 - Prob. 50ECh. 4.2 - Challenge Problems/Group Activities 51. a Write...Ch. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.3 - Warm Up Exercises In Exercises 14, fill in the...Ch. 4.3 - Warm Up Exercises In Exercises 14, fill in the...Ch. 4.3 - In Exercises 14, fill in the blanks with an...Ch. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 8ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 10ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 22ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 26ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 32ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 35ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - Prob. 38ECh. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - Prob. 40ECh. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Problem Solving In Exercises 4548, assume the...Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Problem Solving In Exercises 4548, assume the...Ch. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - In Exercises 4952, write the Hindu-Arabic numerals...Ch. 4.3 - Prob. 52ECh. 4.3 - In Exercises 5356, suppose colors as indicated...Ch. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - In Exercises 5760, write the Hindu-Arabic numerals...Ch. 4.3 - Prob. 58ECh. 4.3 - In Exercises 5760, write the Hindu-Arabic numerals...Ch. 4.3 - Prob. 60ECh. 4.3 - Another Conversion Method There is an alternative...Ch. 4.3 - Prob. 62ECh. 4.3 - Concept/Writing Exercises 63. a. What is 102 equal...Ch. 4.3 - Prob. 64ECh. 4.3 - Challenge Problems/Group Activities 65. Find b if...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Suppose a base 4 place-value system has its digits...Ch. 4.4 - Warm Up Exercises In Exercises 16, fill in the...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - In Exercises 718, add in the indicated base. 10.Ch. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.5 - In Exercises 14, fill in the blanks with an...Ch. 4.5 - In Exercises 14, fill in the blanks with an...Ch. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - In Exercises 2128, multiply using Napiers rods....Ch. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4 - In Exercises 14, write the Egyptian numeral as a...Ch. 4 - In Exercises 14, write the Egyptian numeral as a...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - In Exercises 3740, write the HinduArabic numeral...Ch. 4 - Prob. 40RECh. 4 - In Exercises 4144, write the Mayan numeral as a...Ch. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - In Exercises 6772, subtract in the base indicated....Ch. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - In Exercises 1618, perform the indicated...Ch. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Multiply 35 28, using duplation and mediation.Ch. 4 - Multiply 43 196, using lattice multiplication.
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