Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 70, Problem 37A
Solve the following exercises using a combination of the Law of Cosines and the Law of Sines.
All dimensions are in inches.
a. Find ∠x.
b. Find ∠y.
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The Kolkmeyer Manufacturing Company uses a group of six identical machines, each of which operates an average of 18 hours between breakdowns. With randomly occurring breakdowns, the Poisson probability distribution is used to describe the machine breakdown
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La
=
L =
Wa
=
W =…
Use 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.]
Chapter 70 Solutions
Mathematics for Machine Technology
Ch. 70 - Sketch a 25125' ray on a Cartesian coordinate...Ch. 70 - Prob. 2ACh. 70 - Prob. 3ACh. 70 - Prob. 4ACh. 70 - Prob. 5ACh. 70 - Prob. 6ACh. 70 - Prob. 7ACh. 70 - Solve the following exercises using the Law of...Ch. 70 - Prob. 9ACh. 70 - Find side x. All dimensions are in millimeters.
Ch. 70 - Find x. All dimensions are in inches.Ch. 70 - Prob. 12ACh. 70 - Find x. All dimensions are in inches.Ch. 70 - Find x. All dimensions are in inches.Ch. 70 - Find side x. All dimensions are in millimeters.Ch. 70 - Two sides and an angle opposite one of the sides...Ch. 70 - Two sides and an angle opposite one of the sides...Ch. 70 - A 21-mm side, 29-mm side, a 41 angle opposite the...Ch. 70 - A 0.943" side, a 0.612" side, and a 6215' angle...Ch. 70 - A 2.10-ft side, a 3.05-ft side, a 2930' angle...Ch. 70 - A 16.35-mm side, a 23.86-mm side, a 115 angle...Ch. 70 - An 87.60-mm side, a 124.80-mm side, a 12.90 angle...Ch. 70 - A 34.090" side, a 35.120" side, a 4618' angle...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Find x. All dimensions are in inches.Ch. 70 - Find side x. All dimensions are in millimeters.Ch. 70 - Find side x. All dimensions are in inchesCh. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following exercises using a combination...Ch. 70 - Prob. 36ACh. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Prob. 41ACh. 70 - Prob. 42ACh. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Prob. 45ACh. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Prob. 47ACh. 70 - Prob. 48A
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