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Hoochie [10]
3 years ago
9

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.

Mathematics
2 answers:
pychu [463]3 years ago
8 0

Given: The wavelength of radio wave is x and frequency is y.

Here, frequency (y) = 3.0×10⁹ Hz

And the velocity of the radio wave which is equal to the velocity of light (v) =  3.0×10⁸ m/s

Since, wavelength and frequency is inversely proportional to each other then

        x ∝ (1/y)

or,      x = v /y  ----------------(1)

Here, v is the proportionality constant.

Now, we shall substitute the given values of y and v in equation (1),

                               x =   (3.0×10⁸ m/s) ÷ (3.0×10⁹ Hz)

or,                            x =  0.1 m

Hence, the required wavelength of the radio wave will be 0.1 m.

Dmitrij [34]3 years ago
7 0
The relationship between wavelength and frequency is expressed by the equation λν=c where λ is the wavelength, v is the frequency and c is the speed of light which has a value of 3x10^8 m/s.

 λν=c
 λ(3 × 10^9)= 3x10^8
 λ = 0.1 m

Hope this answers the question.
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please help asap A dessert plate has an area of 50.24 square inches. What is the diameter of the dessert plate? Show your work.
yuradex [85]

Answer: 8

Step-by-step explanation:

we know the area of a circle is

A=π r²  

50.24= 3.14* r²

50.24/3.14=r^2

16=r^2

r=sqrt 16=4

diameter is 2r=2*4=8

4 0
3 years ago
Select the postulate of equality or inequality that is illustrated.
Effectus [21]

I think this is the Transitive postulate of equality.

Personally I can't see much point in giving labels to these equalities.

6 0
3 years ago
Read 2 more answers
A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo
Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.  

At the same time, a nearby tower casts a shadow that is 36.25 m long.  

We have to find height of the tower.  

Now, we know that,

2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }

Then, (let it be) n meter tall \rightarrow 36.25 long shadow

So, by cross multiplication method,

\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}

This can be written as,

\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}

Cross multiplications steps: (To find Single Variable)

  1. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
  2. Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
  3. Set the two products equal to each other.
  4. Solve for the variable.
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