Concept explainers
(a)
The first
(b)
The first
(c)
The number that a ratio
(d)
The first
(e)
The number that a ratio
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Chapter 12 Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
Additional Math Textbook Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Glencoe Math Accelerated, Student Edition
Calculus & Its Applications (14th Edition)
- Five pieces are cut from the length of round stock shown in Figure 10-6. After the pieces are cut, the remaining length is thrown away. What decimal fraction of the original length of round stock (17 inches) is the length that is thrown away? All dimensions are in inches.arrow_forwardLength A in Figure 205 is 3 inches and length B is 2.5 feet. Determine the ratio of length A to length B in lowest form.arrow_forwardUsing the polya's strategy, If it is now 8:15 pm, what will it be in 431, 999, 999, 995 minutes from now?arrow_forward
- 1. What is the order of the shape number for the figure shown? Please Obtain the shape number.arrow_forwardGiven that you have two consecutive prime numbers the Fibonacci sequence, could the next number be always odd or even? Choose the best choice that answers this question. a. It'l be always odd since we have 2 and 3 at the first part of the Fibonacci sequence. These numbers are prime numbers and their sum is an odd number. O b. The next number will always be even since we have 3 and 5 at the first part of the Fibonacci sequence. These numbers sum up to an even number. c. The next number will always be even since we have 1 and 1 at the start of the Fibonacci sequence. These will sum up to an even number. d. The next number will always be even except for the instance when the two prime numbers being considered are 2 and 3. The rest of the prime numbers, when added, will sum up to an even number. e. The next number will always be an even number since the sum of two prime numbers is always an even number.arrow_forward6. Which type of symmetry is best illustrated in the figure below: A. Bilateral Symmetry B. Radial Symmetry C. Equilateral Symmetry D. Asymmetric or No Symmetry 7. The ratio between consecutive terms of the Fibonacci Sequence converge to which number? A. Geometric Ratio B. Common Ratio C. Golden Ratio D. Golden Ratio Conjugate 8. Which among the following phenomena exhibit/s a Golden Ratio? i. The ratio of the sides of the rectangle of the Parthenon. ii. The ratio of the lengths of the forearm and the hand. i. The ratio of the width of the center tooth and width of the second tooth. A. į and ii only B. ii and iii only C. į and i only D. I, ii and iiarrow_forward
- 2. Follow Archimedes' ideas to approximate pi, the ratio of the circumference of any circle to its diameter. For the adventurous, see pages 93-98 of the reading "7 Heath The Works of Archimedes Sphere Cylinder Circle Parabola.pdf." Inscribed Polygons (adapted from Katz, A History of Mathematics: An Introduction) You will generate a recursive sequence of sides of a regular inscribed polygon (called 5, ) in a circle of radius 1. The number of sides n will follow the pattern n=3-2*. In the diagram, bisect the side of the regular inscribed polygon Sn and construct the segment from the center of the circle to this bisection, making sure to continue to intersect the segment to the circle.. This point of intersection generates two new sides of the regular inscribed polygon, 52, doubling its number of sides. $12 a. Start with s6 = 1. b. Find the perimeter of the n-gon, P. c. Approximate by calculating the perimeter divided by the diameter, 2 d. Use the Pythagorean Theorem to find x in the…arrow_forwardThis is a Mathematics in the Modern World Subject and is Fibonacci Sequence Lesson. I hope you can help me because i badly needed to send this after 12 midnightarrow_forwardQuestion 3 The next number in the sequence 0,3 , 8, 15, 14 , ... isarrow_forward
- 1. Each student in the class measures the length of their step in centimeters, then walks across the room counting the number of steps to estimate the length of the classroom in centimeters. : .. 750 752 754 756 758 760 762 764 766 768 770 772 774 length of classroom (cm)arrow_forwardA Moving to the next question prevents changes to this answer. Question 8 Consider the following sequence of equations involving Fibonacci numbers. 1+2 3 1+2+5= 8 1+2+5+13- 21 1+2+5+13+34 = 55 Find the subscript n that will make the following equation true. A+A+P,+.. + F -F, 21 (Answer should be in numerical form)arrow_forwardTry out this next mathematical magic trick. Do the following on a piece of paper: a. write the number of days a week you would like to go out (1 to 7). b. multiply that number by 2. c. add 5. d. multiply by 50. e. if you have already had your birthday this year, add 1756 if it is 2006. (add 1757 if it is 2007, add 1758 if it is 2008, and so on). if you have not had a birthday this year, add 1755 if it is 2006. (add 1756 if it is 2007, add 1757 if it's 2008, and so on). f. finally, subtract the four digit year you were born. you should now have a three digit number. if not try again. if you have a three digit number continue with the following: the first digit of your answer is your original number (i.e. how many times you want to go out each week). the second two digits are your current age. Is it magic or is it math? Explain with equations and properties why this trick works.arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,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 StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
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