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3 years ago

A mandolin string's first harmonic is 392 Hz. How long is the string if the wave speed on it is 329 m/s?

1 answer:

Taya2010 [7]3 years ago

6 0

Velocity is given by:
velocity=wavelength×frequency
We note that the wavelength of a wave is twice the length of the string (2w) in the first harmonic.
velocity=329 m/s
wavelength=2w
frequency=392
substituting the values in our equation we get:
329=2w(392)
329=784w
solving for w we get
w=329/784
w= 0.41964~0.42 m

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A square mirror has sides measuring 2 ft less than the sides of a square painting. If the difference between their areas is 32 f

kari74 [83]

Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.

Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.

We are to find the lengths of the sides of the mirror and the painting.

Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.

According to the given information, we have

$\textup{area of painting}-\textup{area of mirror}=32\\\\\Rightarrow (x+2)^2-x^2=32\\\\\Rightarrow x^2+4x+4-x^2=32\\\\\Rightarrow 4x=28\\\\\Rightarrow x=\dfrac{28}{4}\\\\\Rightarrow x=7.$

Therefore, the side length of mirror is 7 ft and the side length of painting is (7+2) = 9 ft.

Thus, the side lengths of mirror and painting are 7 ft and 9 ft respectively.

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3 years ago

Evaluate each expression.<br> 1) 10x5+4²+(5+30-10)<br> ezzyy

pogonyaev

Answer:

Step-by-step explanation:

10*5+4^2+(5+30-10)

50+16+(35-10)

66+(25)

66+25

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3 years ago

Can someone help me plz!!! Questin 7

MaRussiya [10]

Answer:

Step-by-step explanation:The rule is that x is increased by one then added to x

So 5 + 6 = 1

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3 years ago

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What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54 + … ?

UkoKoshka [18]

2+6+18+54+162+486+1458+4375=6561

you multiply the previous number by three to find the next value

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3 years ago

The graph of a piecewise defined function is given. evaluate f(-2), f(0), f(1)

vfiekz [6]

Answer:

Step-by-step explanation:

because when x = -2 on the graph the y is -2 (-2,-2)

when the x values is 0 the y value is 1 (0,1)

and when x is 1 the y value is 2. (1,2)

hope this helps. have a good day

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3 years ago