EBK USING & UNDERSTANDING MATHEMATICS
7th Edition
ISBN: 8220106844434
Author: Briggs
Publisher: PEARSON
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Textbook Question
Chapter 10.A, Problem 84E
Backyard. Figure 10.25 shows the layout of a backyard that is to be seeded with grass except for the patio and flower garden. What is the area of the region that is to be seeded with grass?
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Section 2.2 Subsets
71
Exercise Set 2.2
Practice Exercises
In Exercises 1-18, write or in each blank so that the resulting
statement is true.
1. {1, 2, 5}
{1, 2, 3, 4, 5, 6, 7}
2. {2, 3, 7}
{1, 2, 3, 4, 5, 6, 7}
3. {-3, 0, 3}
{-4,-3,-1, 1, 3, 4}
4. {-4, 0, 4}
5. {Monday, Friday}
{-3, -1, 1, 3}
{Saturday, Sunday, Monday, Tuesday, Wednesday}
6. {Mercury, Venus, Earth}
{Venus, Earth, Mars, Jupiter}
7. {x/x is a cat}
{xx is a black cat}
{x|x is a pure-bred dog}
ibrary
mbers,
ause the
entire
sual
8. {xx is a dog}
9. (c, o, n, v, e, r, s, a, t, i, o, n}
{v, o, i, c, e, s, r, a, n, t, o, n}
10. [r, e, v, o, l, u, t, i, o, n}
{t, o, l, o, v, e, r, u, i, n}
33. A = {x|x E N
and
5 < x < 12}
B
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{x|x E N
and
2 ≤ x ≤ 11}
A_ B
34. A =
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3 < x < 10}
B =
A.
{x|x = N
and
2 ≤ x ≤ 8}
B
35. Ø
{7, 8, 9,..., 100}
36. Ø
_{101, 102, 103, . . ., 200}
37. [7, 8, 9,...}
38. [101, 102, 103, ...}
39. Ø
40. { }
{ }
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In Exercises 41-54, determine whether each statement is true or
false. If…
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
Find the lengths of r, s, t, and u shown in the figure below if r+s=34. Round your answers to the nearest tenth.
Note that the figure is not drawn to scale.
16
37°
r =
S
u =
t
S
u
24
☑
Chapter 10 Solutions
EBK USING & UNDERSTANDING MATHEMATICS
Ch. 10.A - Prob. 1QQCh. 10.A - Prob. 2QQCh. 10.A - An acute angle is a. less than 90°. b. exactly...Ch. 10.A - 4. A regular polygon always has
a. four sides. b....Ch. 10.A - 5. A right triangle always has
three equal-length...Ch. 10.A - 6. The circumference of a circle of radius r...Ch. 10.A - The volume of a sphere of radius r is a. \[\pi...Ch. 10.A - Prob. 8QQCh. 10.A - If you triple the radius of a sphere, the volume...Ch. 10.A - Suppose you cut a large stone block into four...
Ch. 10.A - What do we mean by Euclidean geometry?Ch. 10.A - Prob. 2ECh. 10.A - What do we mean by dimension? How is dimension...Ch. 10.A - Prob. 4ECh. 10.A - What is plane geometry? What does it mean for...Ch. 10.A - 6. What is a polygon? How do we measure the...Ch. 10.A - What are the formulas for the circumference and...Ch. 10.A - 8. Describe how we calculate the volumes and...Ch. 10.A - What are the scaling laws for area and volume?...Ch. 10.A - Prob. 10ECh. 10.A - Prob. 11ECh. 10.A - Prob. 12ECh. 10.A - My bedroom is a rectangular prism that measures 12...Ch. 10.A - walked around the circular pond to a point on the...Ch. 10.A - Prob. 15ECh. 10.A - 16. By building a fence across my rectangular...Ch. 10.A - Prob. 17ECh. 10.A - Prob. 18ECh. 10.A - Angles and Circles. Find the degree measure of the...Ch. 10.A - 17-22: Angles and Circles. Find the degree measure...Ch. 10.A - 17-22: Angles and Circles. Find the degree measure...Ch. 10.A - 17-22: Angles and Circles. Find the degree measure...Ch. 10.A - Prob. 23ECh. 10.A - Prob. 24ECh. 10.A - Prob. 25ECh. 10.A - Prob. 26ECh. 10.A - Prob. 27ECh. 10.A - Prob. 28ECh. 10.A - Prob. 29ECh. 10.A - Prob. 30ECh. 10.A - Circle Practice. Find the circumference and area...Ch. 10.A - Prob. 32ECh. 10.A - Circle Practice. Find the circumference and area...Ch. 10.A - 31-36: Circle Practice. Find the circumference and...Ch. 10.A - Circle Practice. Find the circumference and area...Ch. 10.A - Prob. 36ECh. 10.A - Prob. 37ECh. 10.A - Prob. 38ECh. 10.A - Perimeters and Areas. Use Table 10.2 to find the...Ch. 10.A - Prob. 40ECh. 10.A - Prob. 41ECh. 10.A - Prob. 42ECh. 10.A - Triangle Geometry. Find the perimeter and area of...Ch. 10.A - Prob. 44ECh. 10.A - 43-46: Triangle Geometry. Find the perimeter and...Ch. 10.A - 43-46: Triangle Geometry. Find the perimeter and...Ch. 10.A - Window Space. A picture window has a length of 8...Ch. 10.A - A Running Track. A running track has straight legs...Ch. 10.A - Building Stairs. Refer to Figure 10.14, showing...Ch. 10.A - No Calculation Required. The end views of two...Ch. 10.A - Parking Lot. A parking lot is shaped like a...Ch. 10.A - Prob. 52ECh. 10.A - Prob. 53ECh. 10.A - 53-57: Three-Dimensional Objects. Use the formulas...Ch. 10.A - Three-Dimensional Objects. Use the formulas in...Ch. 10.A - Prob. 56ECh. 10.A - Prob. 57ECh. 10.A - 58. Water Canal. A water canal has a rectangular...Ch. 10.A - 59. Water Reservoir. The water reservoir for a...Ch. 10.A - 60. Oil Drums. Which holds more: an oil drum with...Ch. 10.A - Tree Volumes. Is there more wood in a 40-foot-high...Ch. 10.A - Architectural Model. Suppose you build an...Ch. 10.A - Architectural Model: Suppose you build an...Ch. 10.A - Prob. 64ECh. 10.A - Architectural Model: Suppose you build an...Ch. 10.A - Prob. 66ECh. 10.A - Architectural Model: Suppose you build an...Ch. 10.A - Prob. 68ECh. 10.A - Quadrupling Your Size. Suppose you magically...Ch. 10.A - Quadrupling Your Size. Suppose you magically...Ch. 10.A - Quadrupling Your Size. Suppose you magically...Ch. 10.A - 72-74: Comparing People. Consider a person named...Ch. 10.A - 72-74: Comparing People. Consider a person named...Ch. 10.A - Prob. 74ECh. 10.A - Squirrels or People? Squirrels and humans are both...Ch. 10.A - 75-76: Squirrels or People? Squirrels and humans...Ch. 10.A - Prob. 77ECh. 10.A - Prob. 78ECh. 10.A - Comparing Balls. Consider a softball with a radius...Ch. 10.A - Prob. 80ECh. 10.A - Dimension. Examine a closed book. How many...Ch. 10.A - Perpendicular and Parallel. Suppose you mark a...Ch. 10.A - Perpendicular and Parallel. Suppose you draw two...Ch. 10.A - Backyard. Figure 10.25 shows the layout of a...Ch. 10.A - Human Lung. The human lung has approximately 300...Ch. 10.A - 86. Automobile Engine Capacity. The size of a car...Ch. 10.A - 87. The Chunnel. The English Channel Tunnel, or...Ch. 10.A - Prob. 88ECh. 10.A - Prob. 89ECh. 10.A - Prob. 90ECh. 10.A - The Geometry of Ancient Cultures. Research the use...Ch. 10.A - Surveying and GIS. Surveying is one of the oldest...Ch. 10.A - Platonic Solids. Why are there five and only five...Ch. 10.B - The number of minutes of are in a full circle is...Ch. 10.B - Prob. 2QQCh. 10.B - If you travel due east, you are traveling along a...Ch. 10.B - 4. If you are located at latitude 30°S and...Ch. 10.B - What would be different about the Sun if you...Ch. 10.B - Prob. 6QQCh. 10.B - If you are bicycling eastward up a hill with a 10%...Ch. 10.B - Prob. 8QQCh. 10.B - Prob. 9QQCh. 10.B - Prob. 10QQCh. 10.B - How do we describe fractions of a degree of angle?Ch. 10.B - Prob. 2ECh. 10.B - How is angular size related to physical size?Ch. 10.B - Prob. 4ECh. 10.B - Give at least two examples of ways in which the...Ch. 10.B - Prob. 6ECh. 10.B - Give an example of a practical problem that can be...Ch. 10.B - 8. What is an optimization problem? Give an...Ch. 10.B - 9. In December, it is winter at 70oW and 44oS.
Ch. 10.B - Prob. 10ECh. 10.B - Prob. 11ECh. 10.B - Prob. 12ECh. 10.B - Prob. 13ECh. 10.B - Prob. 14ECh. 10.B - Angle Conversions I. Convert the given degree...Ch. 10.B - 15-20: Angle Conversions I. Convert the given...Ch. 10.B - Prob. 17ECh. 10.B - Prob. 18ECh. 10.B - Prob. 19ECh. 10.B - Angle Conversions I. Convert the given degree...Ch. 10.B - 21-26: Angle Conversions II. Convert the given...Ch. 10.B - 21-26: Angle Conversions II. Convert the given...Ch. 10.B - Prob. 23ECh. 10.B - Prob. 24ECh. 10.B - Angle Conversions II. Convert the given angle...Ch. 10.B - Prob. 26ECh. 10.B - Prob. 27ECh. 10.B - Prob. 28ECh. 10.B - Prob. 29ECh. 10.B - Prob. 30ECh. 10.B - Prob. 31ECh. 10.B - Prob. 32ECh. 10.B - Prob. 33ECh. 10.B - Prob. 34ECh. 10.B - Prob. 35ECh. 10.B - Prob. 36ECh. 10.B - Angular Size. Use the formula relating angular...Ch. 10.B - Angular Size. Use the formula relating angular...Ch. 10.B - Angular Size. Use the formula relating angular...Ch. 10.B - Prob. 40ECh. 10.B - Prob. 41ECh. 10.B - Prob. 42ECh. 10.B - Prob. 43ECh. 10.B - Prob. 44ECh. 10.B - Prob. 45ECh. 10.B - 46. Grade of a Road. How much does a road with a...Ch. 10.B - 47. Pitch of a Roof. What is the angle (relative...Ch. 10.B - Grade of a Path. What is the approximate grade...Ch. 10.B - Prob. 49ECh. 10.B - Grade of a Trail. How much does a trail with a 22%...Ch. 10.B - Map Distances. Refer to the map in Figure 10.37....Ch. 10.B - Prob. 52ECh. 10.B - Prob. 53ECh. 10.B - Prob. 54ECh. 10.B - Prob. 55ECh. 10.B - Map Distances. Refer to the map in Figure 10.37....Ch. 10.B - Prob. 57ECh. 10.B - Prob. 58ECh. 10.B - 57-60: Acreage Problems. Refer to Figure 10.31,...Ch. 10.B - Acreage Problems. Refer to Figure 10.31, but use...Ch. 10.B - 61-64: Determining Similarity. Determine which...Ch. 10.B - Prob. 62ECh. 10.B - Prob. 63ECh. 10.B - Prob. 64ECh. 10.B - Prob. 65ECh. 10.B - Analyzing Similar Triangles. Determine the lengths...Ch. 10.B - Analyzing Similar Triangles. Determine the lengths...Ch. 10.B - Prob. 68ECh. 10.B - Solar Access. Assume that the policy given In...Ch. 10.B - Solar Access. Assume that the policy given In...Ch. 10.B - Solar Access. Assume that the policy given in...Ch. 10.B - Solar Access. Assume that the policy given in...Ch. 10.B - Prob. 73ECh. 10.B - Prob. 74ECh. 10.B - Prob. 75ECh. 10.B - Prob. 76ECh. 10.B - Prob. 77ECh. 10.B - Designing Plastic Buckets. A company manufactures...Ch. 10.B - Designing Cardboard Boxes. Suppose you are...Ch. 10.B - Designing Steel Safes. A large steel sale with a...Ch. 10.B - Blu-ray Geometry. The capacity of a single-sided,...Ch. 10.B - Prob. 82ECh. 10.B - Prob. 83ECh. 10.B - Prob. 84ECh. 10.B - Prob. 85ECh. 10.B - Prob. 86ECh. 10.B - Prob. 87ECh. 10.B - Filling a Pool. A spherical water tank has a...Ch. 10.B - Prob. 89ECh. 10.B - Prob. 90ECh. 10.B - Prob. 91ECh. 10.B - 92. Estimating Heights. In trying in estimate the...Ch. 10.B - 93. Soda Can Design. Standard soft drink cans hold...Ch. 10.B - 94. Melting Ice. A glaciers surface is...Ch. 10.B - Prob. 95ECh. 10.B - Prob. 96ECh. 10.B - Prob. 97ECh. 10.B - Prob. 98ECh. 10.B - Prob. 99ECh. 10.B - Prob. 100ECh. 10.C - Fractal geometry is useful because it is the only...Ch. 10.C - Prob. 2QQCh. 10.C - Prob. 3QQCh. 10.C - Which of the following is a general characteristic...Ch. 10.C - How do fractal dimensions differ from in Euclidean...Ch. 10.C - 6. An island coastline has a fractal dimension...Ch. 10.C - Prob. 7QQCh. 10.C - Prob. 8QQCh. 10.C - Prob. 9QQCh. 10.C - Prob. 10QQCh. 10.C - Prob. 1ECh. 10.C - Prob. 2ECh. 10.C - Explain the meaning of the factors R and N used in...Ch. 10.C - What is the snowflake curve? Explain why we cannot...Ch. 10.C - Prob. 5ECh. 10.C - Prob. 6ECh. 10.C - Briefly describe what we mean by the process of...Ch. 10.C - 8. What is random iteration? Why do objects...Ch. 10.C - 9. I can use a yardstick to find the area of my...Ch. 10.C - I can use a yardstick to measure the length of the...Ch. 10.C - The area of the snowflake island is given by its...Ch. 10.C - Prob. 12ECh. 10.C - The edge of this leaf has a fractal dimension of...Ch. 10.C - This entire leaf, riddled with holes, has a...Ch. 10.C - Prob. 15ECh. 10.C - Prob. 16ECh. 10.C - Prob. 17ECh. 10.C - Prob. 18ECh. 10.C - Prob. 19ECh. 10.C - Prob. 20ECh. 10.C - 15-26: Ordinary and Fractal Dimensions. Find the...Ch. 10.C - 15-26: Ordinary and Fractal Dimensions. Find the...Ch. 10.C - 15-26: Ordinary and Fractal Dimensions. Find the...Ch. 10.C - Prob. 24ECh. 10.C - Prob. 25ECh. 10.C - Prob. 26ECh. 10.C - Prob. 27ECh. 10.C - Prob. 28ECh. 10.C - Prob. 29ECh. 10.C - Prob. 30ECh. 10.C - Prob. 31ECh. 10.C - Prob. 32ECh. 10.C - Prob. 33ECh. 10.C - Fractal Research. Locate at least two websites...Ch. 10.C - 35. Fractal Art. Visit a website that features...
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