Explanation Result used: “The laws of Cosines are, a 2 = b 2 + c 2 − 2 b c cos A b 2 = c 2 + a 2 − 2 c a cos B c 2 = a 2 + b 2 − 2 a b cos C .” “The laws of Sines are, sin A a = sin B b = sin C c .” Calculation: It is given that, the value of a = 1.25 cm , b = 5.08 cm , and c = 3.96 cm . The largest side is b . Substitute the given values in law of cosines and obtain B. b 2 = c 2 + a 2 − 2 c a cos B 2 c a cos B = c 2 + a 2 − b 2 cos B = c 2 + a 2 − b 2 2 c a On further simplification, cos B = ( 3.96 ) 2 + ( 1.25 ) 2 − ( 5.08 ) 2 2 ( 3

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

10th Edition

ISBN: 9780133347777

Author: Robert A. Carman Emeritus, Hal M. Saunders

Publisher: PEARSON

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Chapter 10.4, Problem 15AE

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To solve: The triangle with given information.

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Chapter 10.4, Problem 14AE

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Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds): 4.46 4.21 4.40 4.81 2.81 2.90 4.93 3.54 4.16 4.48 3.26 4.74 4.97 4.02 4.91 2.59 Use a calculator to verify that the sample variance for this plot is . Another random sample of years for a second plot gave the following annual wheat production (in pounds): 3.89 3.81 3.95 4.07 4.01 3.73 4.02 3.78 3.72 3.96 3.62 3.76 4.02 3.73 3.94 4.03 Use a calculator to verify that the sample variance for this plot is . Suppose that we test the claim using that the population variance of annual wheat production for the first plot is larger…

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Chapter 10 Solutions

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Prob. 7AE Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Prob. 9AE Ch. 10.1 - Prob. 10AE

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The triangle with given information.

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To solve: The triangle with given information.

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Chapter 10 Solutions