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Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 11-6 - Problem 2
Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 11-6 - Problem 2

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# Dimension of Sierpi skis Triangle Problem: Figure 11-6f shows the pre-image and the ISBN: 9781559533911 468

## Solution for problem 2 Chapter 11-6

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 2

Dimension of Sierpi skis Triangle Problem: Figure 11-6f shows the pre-image and the first iteration of Sierpi skis triangle. The original pre-image triangle is transformed into three self-similar triangles, each of which has sides one-half the length of the sides in the pre-image. a. For iterations 0 through 4, make a table of values showing the iteration number (n), the number of triangles (N), the ratio of the side length of each triangle to the side length of the pre-image (r), and . b. Calculate the dimension D of the Sierpi skis triangle using iterations 1 and 4. Show that you get the same value of D using the values for N and r from either iteration 1 or 4. What word is used to describe the fact that the dimension is not an integer? function of log . Plot the points and the equation on the same screen. Show numerically that the slope of the line equals the dimension of Sierpi skis triangle. d. If the pre-image is an equilateral triangle with sides 16 cm long, calculate the total perimeter of the images in each iteration, 1 through 4. Use the pattern you observe to calculate the total perimeter of the images in the 50th iteration. Explain why the total perimeter of Sierpi skis triangle approaches infinity as the iterations continue.

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##### ISBN: 9781559533911

This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. The full step-by-step solution to problem: 2 from chapter: 11-6 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. The answer to “Dimension of Sierpi skis Triangle Problem: Figure 11-6f shows the pre-image and the first iteration of Sierpi skis triangle. The original pre-image triangle is transformed into three self-similar triangles, each of which has sides one-half the length of the sides in the pre-image. a. For iterations 0 through 4, make a table of values showing the iteration number (n), the number of triangles (N), the ratio of the side length of each triangle to the side length of the pre-image (r), and . b. Calculate the dimension D of the Sierpi skis triangle using iterations 1 and 4. Show that you get the same value of D using the values for N and r from either iteration 1 or 4. What word is used to describe the fact that the dimension is not an integer? function of log . Plot the points and the equation on the same screen. Show numerically that the slope of the line equals the dimension of Sierpi skis triangle. d. If the pre-image is an equilateral triangle with sides 16 cm long, calculate the total perimeter of the images in each iteration, 1 through 4. Use the pattern you observe to calculate the total perimeter of the images in the 50th iteration. Explain why the total perimeter of Sierpi skis triangle approaches infinity as the iterations continue.” is broken down into a number of easy to follow steps, and 222 words. Since the solution to 2 from 11-6 chapter was answered, more than 240 students have viewed the full step-by-step answer.

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