Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 10.1, Problem 36E

To determine

Find if the landscape artist met the homeowner’s requirement.

Expert Solution

Answer to Problem 36E

Landscape artist met the homeowner’s requirement.

Explanation of Solution

Given information:

In the diagram the plans made by landscape artist for a homeowner’s 16 meter by 16 meter backyard. The homeowner requested that the rosebushes fountain and the garden bench be placed so that they are no more than 14 meters apart.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.1, Problem 36E , additional homework tip 1

Calculation:

Here, we will find the distance between the two points:

(x1−x2)2+(y1−y2)2

Now, distance between fountain and rosebushes:

(1+3)2+(−3−2)216+2541=6.40312446.4031244<14 meters

Now, distance between rosebushes and bench:

(3−1)2+(3+3)24+3640=6.324556.32455<14 meters

Now, distance between bench and fountain:

(−3−3)2+(2−3)236+137=6.0827636.082763<14 meters

Hence, the landscape artist met the homeowner’s requirement.

To determine

Find the coordinates indicating the location sundial should be placed.

Expert Solution

Answer to Problem 36E

(1,−3) and (3,−2)

Explanation of Solution

Given information:

In the diagram the plans made by landscape artist for a homeowner’s 16 meter by 16 meter backyard. The homeowner has purchased a sundial to be placed midway between the fountain and the rosebushes.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.1, Problem 36E , additional homework tip 2

Calculation:

Here, distance between fountain and rosebushes:

(1+3)2+(−3−2)216+2541=6.40312446.4031244<14 meters

Hence, the coordinated will be (1,−3) and (3,−2) .

Chapter 10.1, Problem 35E

Chapter 10.1, Problem 37E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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