Using & Understanding Mathematics, Books a la Carte edition (7th Edition)
7th Edition
ISBN: 9780134716015
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10.A, Problem 79E
Comparing Balls. Consider a softball with a radius of approximately 2 inches and a bowling ball with a radius of approximately 6 inches. Compute the approximate surface area and volume for both balls. Then find the surface-area- to-volume ratio for both balls. Which ball has the larger ratio?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A local company has a 6 person management team and 20 employees. The company needs to select 3 people from the management team and 7 employees to attend a regional meeting. How many different possibilities are there for the group that can be sent to the regional meeting?
Can you solve this 2 question numerical method
I have 15 outfits to select from to pack for my business trip. I would like to select three of them to pack in my suitcase. How many packing possibilities are there?
Chapter 10 Solutions
Using & Understanding Mathematics, Books a la Carte edition (7th Edition)
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- There are 15 candidates running for any of 5 distinct positions on the local school board. In how many different ways could the 5 positions be filled?arrow_forwardUse the Euclidean algorithm to find two sets of integers (a, b, c) such that 55a65b+143c: Solution = 1. By the Euclidean algorithm, we have: 143 = 2.65 + 13 and 65 = 5.13, so 13 = 143 – 2.65. - Also, 55 = 4.13+3, 13 = 4.3 + 1 and 3 = 3.1, so 1 = 13 — 4.3 = 13 — 4(55 – 4.13) = 17.13 – 4.55. Combining these, we have: 1 = 17(143 – 2.65) - 4.55 = −4.55 - 34.65 + 17.143, so we can take a = − −4, b = −34, c = 17. By carrying out the division algorithm in other ways, we obtain different solutions, such as 19.55 23.65 +7.143, so a = = 9, b -23, c = 7. = = how ? come [Note that 13.55 + 11.65 - 10.143 0, so we can obtain new solutions by adding multiples of this equation, or similar equations.]arrow_forwardCelina is picking a new frame for a custom piece of artwork. She has to select a frame size, material, and color. There are four different frame sizes, three different frame materials, and six different frame colors. She must chose one option only from each category. How many different possible frames could Celina pick from?arrow_forward
- In a company with 80 employees, 60 earn $10.00 per hour and 20 earn $13.00 per hour. Is this average hourly wage considered representative?arrow_forwardThe following is a list of questions answered correctly on an exam. Calculate the Measures of Central Tendency from the ungrouped data list. NUMBER OF QUESTIONS ANSWERED CORRECTLY ON AN APTITUDE EXAM 112 72 69 97 107 73 92 76 86 73 126 128 118 127 124 82 104 132 134 83 92 108 96 100 92 115 76 91 102 81 95 141 81 80 106 84 119 113 98 75 68 98 115 106 95 100 85 94 106 119arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency using the table in point B. B. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forward
- In a company with 80 employees, 60 earn $10.00 per hour and 20 earn $13.00 per hour. a) Determine the average hourly wage. b) In part a), is the same answer obtained if the 60 employees have an average wage of $10.00 per hour? Prove your answer.arrow_forward1. Estimate the area under the graph of f(x)-25-x from x=0 to x=5 using 5 approximating rectangles Using: (A) right endpoints. (B) left endpoints.arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forward
- 9. Use fundamental theorem of calculus to find the derivative d a) *dt sin(x) b)(x)√1-2 dtarrow_forward3. Evaluate the definite integral: a) √66x²+8dx b) x dx c) f*(2e* - 2)dx d) √√9-x² e) (2-5x)dx f) cos(x)dx 8)²₁₂√4-x2 h) f7dx i) f² 6xdx j) ²₂(4x+3)dxarrow_forward2. Consider the integral √(2x+1)dx (a) Find the Riemann sum for this integral using right endpoints and n-4. (b) Find the Riemann sum for this same integral, using left endpoints and n=4arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY