The spacing of the frets on the neck of a classical guitar is determined from the (20–x) equation d = (21.9)(2) 12 where x = the fret number and d= the distance in centimeters to the x-th fret from the bridge. Nut 1st fret 2nd fret Bridge 19th fret . xth fret ...3rd fret 1. Determine the distance from the bridge for three consecutive frets. Round each answer to 3 decimal place. For example, you can calculate the distance from the bridge for the 4th, 5th and 6th fret. 2. Create the ratios of the highest fret to the previous fret and simplify to a decimal. Create the ratio of the next highest fret to the previous fret and simplify to a decimal. What are the values? For example, if your calculated the distance to the 4th, 5th and 6th fret, you would create the two ratios: 6th fret distance/5th fret distance, and 5th fret distance/4th fret distance. How are these ratios two related?
The spacing of the frets on the neck of a classical guitar is determined from the (20–x) equation d = (21.9)(2) 12 where x = the fret number and d= the distance in centimeters to the x-th fret from the bridge. Nut 1st fret 2nd fret Bridge 19th fret . xth fret ...3rd fret 1. Determine the distance from the bridge for three consecutive frets. Round each answer to 3 decimal place. For example, you can calculate the distance from the bridge for the 4th, 5th and 6th fret. 2. Create the ratios of the highest fret to the previous fret and simplify to a decimal. Create the ratio of the next highest fret to the previous fret and simplify to a decimal. What are the values? For example, if your calculated the distance to the 4th, 5th and 6th fret, you would create the two ratios: 6th fret distance/5th fret distance, and 5th fret distance/4th fret distance. How are these ratios two related?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The spacing of the frets on the neck of a classical guitar is determined from the equation
\[ d = (21.9)(2)^{(20-x)/12} \]
where \( x \) = the fret number and \( d \) = the distance in centimeters to the x-th fret from the bridge.
*Diagram Explanation:*
The diagram shows a classical guitar with the bridge labeled at the left side, from where the distance to each fret is measured. The nut is at the other end, and the location of the first, second, and third frets is marked. The 19th fret is also indicated, with dots showing the subsequent frets.
1. Determine the distance from the bridge for three consecutive frets. Round each answer to 3 decimal places. For example, you can calculate the distance from the bridge for the 4th, 5th, and 6th fret.
2. Create the ratios of the highest fret to the previous fret and simplify to a decimal. Create the ratio of the next highest fret to the previous fret and simplify to a decimal. What are the values? For example, if you calculated the distance to the 4th, 5th, and 6th fret, you would create the two ratios: 6th fret distance/5th fret distance, and 5th fret distance/4th fret distance. How are these two ratios related?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9839f302-6117-4428-8379-c375db045cd1%2F0b245065-aebe-4ebb-a58f-cf4c764139ed%2Fdrry3a_processed.png&w=3840&q=75)
Transcribed Image Text:The spacing of the frets on the neck of a classical guitar is determined from the equation
\[ d = (21.9)(2)^{(20-x)/12} \]
where \( x \) = the fret number and \( d \) = the distance in centimeters to the x-th fret from the bridge.
*Diagram Explanation:*
The diagram shows a classical guitar with the bridge labeled at the left side, from where the distance to each fret is measured. The nut is at the other end, and the location of the first, second, and third frets is marked. The 19th fret is also indicated, with dots showing the subsequent frets.
1. Determine the distance from the bridge for three consecutive frets. Round each answer to 3 decimal places. For example, you can calculate the distance from the bridge for the 4th, 5th, and 6th fret.
2. Create the ratios of the highest fret to the previous fret and simplify to a decimal. Create the ratio of the next highest fret to the previous fret and simplify to a decimal. What are the values? For example, if you calculated the distance to the 4th, 5th, and 6th fret, you would create the two ratios: 6th fret distance/5th fret distance, and 5th fret distance/4th fret distance. How are these two ratios related?
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