The ratio of the lengths of strings that play the guitar notes D and B is 27 to 16. If a string 64 cm long plays a B, what is the length of the string that plays a D?
D/B = 27/16 for all strings.
So, For the longer string,
D/64 = 27/16
Now just solve for D
To find the length of the string that plays the note D, we need to determine the ratio of the lengths of the strings for D and B and use the given information.
Let's assume the length of the string for D is "x" cm.
The given ratio of the lengths of D to B is 27:16.
Therefore, we can set up the following proportion:
(Length of string for D) / (Length of string for B) = 27 / 16
x / 64 = 27 / 16
To solve for x, we can cross-multiply:
16x = 27 * 64
16x = 1,728
Dividing both sides by 16:
x = 1,728 / 16
x = 108
Therefore, the length of the string that plays the note D is 108 cm.
To find the length of the string that plays a D, we need to use the given ratio of 27 to 16.
Let's set up a proportion to solve for the unknown length of the string that plays a D.
Let "x" be the unknown length of the string that plays a D.
We can set up the proportion as follows:
x / 64 = 27 / 16
To solve for "x," we can cross-multiply and then divide:
16x = 64 * 27
16x = 1728
Dividing both sides of the equation by 16:
x = 1728 / 16
x = 108
Therefore, the length of the string that plays a D is 108 cm.