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Q. 8

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Precalculus Enhanced with Graphing Utilities

Found in: Page 534

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

A special case of the Law of Cosines is the Pythagorean theorem.

The solution is true.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

A special case of the Law of Cosines.

Step 2. Calculation

The statement "a special case of the Law of Cosines is the Pythagorean theorem" is true since $\cos θ$ is zero when the angle is a right angle.

Most popular questions for Math Textbooks

An object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion.

(a) Develop a model that relates the distance d of the object from its rest position after t seconds.

(b) Graph the equation found in part (a) for 5 oscillations using a graphing utility.

Given values: $m = 20, a = 15, b = 0.75, T = 6$

an object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion.

(a) Develop a model that relates the distance d of the object from its rest position after t seconds.

(b) Graph the equation found in part (a) for 5 oscillations using a graphing utility.

Given values: $m = 25, a = 10, b = 0.7, T = 5$

The Original Ferris Wheel George Washington Gale Ferris, Jr., designed the original Ferris wheel for the 1893 World’s Columbian Exposition in Chicago, Illinois. The wheel had 36 equally spaced cars each the size of a school bus. The distance between adjacent cars was approximately 22 feet. Determine the diameter of the wheel to the nearest

foot.

Mercury The distance from the Sun to Earth is approximately 149,600,000 kilometers (km). The distance from the Sun to Mercury is approximately 57,910,000 km. The elongation angle a is the angle formed between the line of sight from Earth to the Sun and the line of sight from Earth to Mercury. See the figure. Suppose that the elongation angle for Mercury is 15°. Use this information to find the possible distances between Earth and Mercury.

Find an equation for the circle with center at the point $(- 5, 1)$ and radius 3. Graph this circle.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

A special case of the Law of Cosines is the Pythagorean theorem.

Step by Step Solution

Step 1. Given information

Step 2. Calculation

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

A special case of the Law of Cosines is the Pythagorean theorem.

Step by Step Solution

Step 1. Given information

Step 2. Calculation

Most popular questions for Math Textbooks

Want to see more solutions like these?

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