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Tanzania [10]
2 years ago
5

A guitar string has a number of frequencies at which it will naturally vibrate when it is plucked. These natural frequencies are

known as the harmonics of the guitar string and are related to the length of the guitar string in an inverse relationship. For the first harmonic(also known as the fundamental frequency) the relationship can be expressed by the formula below, where f represents the frequency in cycles per second (Hertz) and L represents the length of the guitar string in meters. The quantity v is about 420 m/s.
v=2F.L
Determine the fundamental frequency (f) in hertz (first harmonic) of the string if its length is 0.7 meters.
Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0

Answer:

Step-by-step explanation:

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nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
3 years ago
A supermarket has a length of 150 feet.the area of the supermarket is 1,350 feet squared.what is the width of the supermarket
Amiraneli [1.4K]

Answer:

1,500

Step-by-step explanation:

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I understand the equation, it's just not working out. Can anyone help me figure it out? Thanks in advance.
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Is 56/7 a rational number or
Sati [7]

Answer:

Yes

Step-by-step explanation:

The definition of a rational number is a number that can be represented as a fraction. Since 56/7 is a fraction it must be a rational number. An irrational number is a number that cannot be represented as a fraction because it never ends and repeats without a pattern forever. An example of this is pi because pi can never exactly be represented as a fraction.

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The perimeter of a given rectangle is at least 50 cm. The length of the rectangle is one more than 3 times the width of the rect
ICE Princess25 [194]

Answer:

The minimum length is 19 cm and the minimum width is 6 cm


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3 years ago
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