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 9.1, Problem 31DE

Practical Applications. Round to the nearest tenth unless otherwise directed.

Construction A rectangular plot of land measuring 65.5 ft by 92.0 ft must be excavated to a benchmark elevation of 152.5 ft. The four corners of the plot have elevations of 158.0 ft, 162.3 ft, 155.8 ft, and 159.5 ft. Use the method of Example 2 to estimate the total volume of earth to be removed in cubic yards. (Round to the nearest ten cubic yards.)

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Chapter 9.1, Problem 30DE

Chapter 9.1, Problem 32DE

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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 9 Solutions

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

Ch. 9.1 - What is the perimeter of a regular hexagon with...Ch. 9.1 - Find the area:Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Prob. 5AE Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...

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Solution Summary: The author calculates the volume of the prism by subtracting the inner area from the outer area.

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