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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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Determine the center and radius of the following circle equation:
UkoKoshka [18]

Answer:

The equation of the circle  <em>(x + 5 )² + ( y + 10 )² = (4)²</em>

<em>Center of the circle ( h, k) = ( -5 , -10)</em>

<em>Radius of the circle     ' r' = 4</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given circle equation is x² + y² +10 x + 20 y +109 =0

                                     x² +10 x +  y² + 20 y +109 =0

  x² +2 (5) (x)+(5)² -(5)²+ y² +2(10) y + (10)²-(10)² +109 =0

<em>By using formula </em>

<em>(a+b)² = a² + 2 a b + b²</em>

<em>(x + 5 )² + ( y + 10 )² - 25 - 100 + 109 = 0</em>

<em>(x + 5 )² + ( y + 10 )² - 16 = 0</em>

<em>(x + 5 )² + ( y + 10 )² = 16</em>

(x + 5 )² + ( y + 10 )² = (4)²

The standard equation of the circle  ( x - h )² + ( y -k)² = r²

<em> Center of the circle ( h, k) = ( -5 , -10)</em>

<em>Radius of the circle     ' r' = 4</em>

<u><em>Conclusion</em></u><em>:-</em>

The equation of the circle  <em>(x + 5 )² + ( y + 10 )² = (4)²</em>

<em>Center of the circle ( h, k) = ( -5 , -10)</em>

<em>Radius of the circle     ' r' = 4</em>

<em></em>

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3 years ago
Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation.
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275 miles to the next park
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Please help.
ryzh [129]

Answer:

E and D

Step-by-step explanation:

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2х - Зу = – 24<br>put it in slope form​
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3 years ago
B. What number is equal to 280 tenths + 19 thousandths?<br><br> HELP!!
Kaylis [27]

The number that equals 280 tenths + 19 thousandths is 28.019

<h3>How to determine the number?</h3>

The statement is given as:

280 tenths + 19 thousandths

Rewrite the terms of the expression as fractions

So, we have

280/10 + 19/1000

Evaluate the quotients

28.0 + 0.019

Add both numbers

28.019

Hence, the number that equals 280 tenths + 19 thousandths is 28.019

Read more about expressions at:

brainly.com/question/723406

#SPJ1

3 0
1 year ago
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