Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.3, Problem 11P

To determine

To Find: Express the distances in astronomical units (AU).

Expert Solution & Answer

Answer to Problem 11P

Mean distance from the sun to Mercury =3.85614×10−1 AU

Mean distance from the sun to Neptune =30.0366 AU.

Explanation of Solution

Given information:

Mean distance from the sun to Mercury =5.79×107 km.

Mean distance from the sun to Neptune =4.51×109 km.

From given table

1 light year =9.46×1012 km.

	AU	Parsec	Light year
One AU equals	1	4.85×10−6	1.58×10−5
One Parsec equals	2.06×105	1	3.26
One Light year equals	6.3×104	0.307	1

Given

Mean distance from the sun to Mercury =5.79×107 km.

From table

1 light year =9.46×1012 km.

⇒ 19.46×1012 light year =9.46×10129.46×1012 km.

⇒ 1 km =19.46×1012 light years.

We know

1 light year =6.3×104 AU.

On substituting 1 light year =6.3×104 AU.

We get

⇒ 1 km =19.46×1012×6.3×104 AU.

⇒ 1 km =6.39.46×108 AU.

⇒ 1 km =0.666×10−8 AU.

⇒ 1 km =6.66×10−9 AU

Mean distance from the sun to Mercury =5.79×107 km.

On substituting 1 km =6.66×10−9 AU

We get

⇒ Mean distance from the sun to Mercury =5.79×107×6.66×10−9 AU.

⇒ Mean distance from the sun to Mercury =38.5614×10−2 AU.

⇒ Mean distance from the sun to Mercury =3.85614×10−1 AU

Mean distance from the sun to Neptune =4.51×109 km.

On substituting 1 km =6.66×10−9 AU

We get

⇒ Mean distance from the sun to Neptune =4.51×109×6.66×10−9 AU.

⇒ Mean distance from the sun to Neptune =30.0366 AU.

Chapter 5.3, Problem 10P

Chapter 5.3, Problem 12P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

Ch. 5.1 - Prob. 11OE Ch. 5.1 - Prob. 12OE Ch. 5.1 - Prob. 1WE Ch. 5.1 - Prob. 2WE Ch. 5.1 - Prob. 3WE Ch. 5.1 - Prob. 4WE Ch. 5.1 - Prob. 5WE Ch. 5.1 - Prob. 6WE Ch. 5.1 - Prob. 7WE Ch. 5.1 - Prob. 8WE Ch. 5.1 - Prob. 9WE Ch. 5.1 - Prob. 10WE Ch. 5.1 - Prob. 11WE Ch. 5.1 - Prob. 12WE Ch. 5.1 - Prob. 13WE Ch. 5.1 - Prob. 14WE Ch. 5.1 - Prob. 15WE Ch. 5.1 - Prob. 16WE Ch. 5.1 - Prob. 17WE Ch. 5.1 - Prob. 18WE Ch. 5.1 - Prob. 19WE Ch. 5.1 - Prob. 20WE Ch. 5.1 - Prob. 21WE Ch. 5.1 - Prob. 22WE Ch. 5.1 - Prob. 23WE Ch. 5.1 - Prob. 24WE Ch. 5.1 - Prob. 25WE Ch. 5.1 - Prob. 26WE Ch. 5.1 - Prob. 27WE Ch. 5.1 - Prob. 28WE Ch. 5.1 - Prob. 29WE Ch. 5.1 - Prob. 30WE Ch. 5.1 - Prob. 31WE Ch. 5.1 - Prob. 32WE Ch. 5.1 - Prob. 33WE Ch. 5.1 - Prob. 34WE Ch. 5.1 - Prob. 35WE Ch. 5.1 - Prob. 36WE Ch. 5.1 - Prob. 1MRE Ch. 5.1 - Prob. 2MRE Ch. 5.1 - Prob. 3MRE Ch. 5.1 - Prob. 4MRE Ch. 5.1 - Prob. 5MRE Ch. 5.1 - Prob. 6MRE Ch. 5.1 - Prob. 7MRE Ch. 5.1 - Prob. 8MRE Ch. 5.1 - Prob. 9MRE Ch. 5.1 - Prob. 10MRE Ch. 5.1 - 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