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Please solve a, b, c, d

Please solve a, b, c, d

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 29E
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Please solve a, b, c, d

a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can complete the circuit by adding more than 270 cm of track. c Explain why, no matter how the circuit is completed, Pip must place an even number of additional curved plates. d Explain why, no matter how the circuit is completed, Pip must place an odd number of additional straight plates.
Transcribed Image Text:a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can complete the circuit by adding more than 270 cm of track. c Explain why, no matter how the circuit is completed, Pip must place an even number of additional curved plates. d Explain why, no matter how the circuit is completed, Pip must place an odd number of additional straight plates.
8 7 6 5 23-11- T • I 7. 2 - I 1 1 3 I 3- I T 4 4 3 2 C -> 13 1 I A B C D E F G H a Show that the pattern above can be cleared in 11 steps. b Explain why it is impossible to clear the pattern above in fewer than 11 steps. c Explain why the following pattern is not clearable. 8 7 6 5 4 3 2 1 A B C D E F G H d What is the smallest number of tokens that can appear in a non- clearable pattern? Explain your answer. O -> 3 -> 5 --> 9 ----> 8 - -> 11 -> 10 ----> 1 O ● ●
Transcribed Image Text:8 7 6 5 23-11- T • I 7. 2 - I 1 1 3 I 3- I T 4 4 3 2 C -> 13 1 I A B C D E F G H a Show that the pattern above can be cleared in 11 steps. b Explain why it is impossible to clear the pattern above in fewer than 11 steps. c Explain why the following pattern is not clearable. 8 7 6 5 4 3 2 1 A B C D E F G H d What is the smallest number of tokens that can appear in a non- clearable pattern? Explain your answer. O -> 3 -> 5 --> 9 ----> 8 - -> 11 -> 10 ----> 1 O ● ●
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