Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

11th Edition

ISBN: 9780134756967

Author: Hal Saunders, Robert Carman

Publisher: PEARSON

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Chapter 10.1, Problem 5DE

Construction In problem 4, topsoil must be bought to cover the sector to a depth of 4 in. How many cubic yards of topsoil are needed? (Be careful with the units.)

4. Construction The outfield fencing for a Little League field forms a circular sector with home plate as the center. (See the figure at the top of page 681.) The fence is placed at a uniform distance of 215 ft from home plate. The boundaries of the fence, which extends partway into foul territory, create an angle of 105° with home plate. At $28 per foot, how much will the fence cost? (Round to the nearest $10.)

Chapter 10.1, Problem 5DE, Construction In problem 4, topsoil must be bought to cover the sector to a depth of 4 in. How many

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Chapter 10.1, Problem 4DE

Chapter 10.1, Problem 6DE

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7. [10 marks] Let G = (V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a cycle in G on which x, y, and z all lie. (a) First prove that there are two internally disjoint xy-paths Po and P₁. (b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that there are three paths Qo, Q1, and Q2 such that: ⚫each Qi starts at z; • each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are distinct; the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex 2) and are disjoint from the paths Po and P₁ (except at the end vertices wo, W1, and w₂). (c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and z all lie. (To do this, notice that two of the w; must be on the same Pj.)

Chapter 10 Solutions

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

Ch. 10.1 - True or false: There cannot be an obtuse angle in...Ch. 10.1 - What is the sum of the angles in any triangle?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,...

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Solution Summary: The author calculates the amount of topsoil needed to cover the Little League field.

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