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 10.2, Problem 46E

(a)

To determine

To write: An equation, centered at the origin, of the archway that models its shape.

(a)

Expert Solution

Answer to Problem 46E

x2+y2=196

Explanation of Solution

Given information: Transportation: A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway at an apartment complex. The base of the archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.2, Problem 46E , additional homework tip 1

Calculation:

Centered at the origin with a radius of 14 gives us:

x2+y2=196

(b)

To determine

To find: If the truck will be able to pass under the archway without damage, if the truck remains just to right of the median. Explain.

(b)

Expert Solution

Answer to Problem 46E

The truck will not be able to pass under archway without damage

Explanation of Solution

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.2, Problem 46E , additional homework tip 2

Calculation:

If the truck is 7 feet wide and 13 feet tall,

Then drawing this into the semicircle, if the diagonal is greater than the radius (14) of the semicircle, the truck will NOT fit.

72+132=14.76>r

Therefore,

The truck will not be able to pass under the archway without damage.

Chapter 10.2, Problem 45E

Chapter 10.2, Problem 47E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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