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gayaneshka [121]
3 years ago
7

A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting

. energy = kj/photon
Mathematics
1 answer:
pentagon [3]3 years ago
7 0
The frequency of the emitted radio waves is:
f=764 kHz = 7.64 \cdot 10^5 Hz

The energy of a photon is given by:
E=hf
where h is the Planck constant and f is the photon frequency. Using the frequency given by the problem, we can find the energy of each photon of this radiation:
E=hf=(6.6 \cdot 10^{-34} Js)(7.64 \cdot 10^5 Hz)=5.04 \cdot 10^{-28} J=5.04 \cdot 10^{-31} kJ
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Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2
Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b).

The sine difference identity is:

\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a).

The cosine addition identity is:

\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b).

The cosine difference identity is:

\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b).

We need to find a way to put some or all of these together to get:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}.

So I do notice on the right hand side the \sin(a+b) and the \sin(a-b).

Let's start there then.

There is a plus sign in between them so let's add those together:

\sin(a+b)+\sin(a-b)

=[\sin(a+b)]+[\sin(a-b)]

=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]

There are two pairs of like terms. I will gather them together so you can see it more clearly:

=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]

=2\sin(a)\cos(b)+0

=2\sin(a)\cos(b)

So this implies:

\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)

Divide both sides by 2:

\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)

By the symmetric property we can write:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}

3 0
3 years ago
The length of a solar car race track is supposed to be 4.8 meters.
snow_tiger [21]

Answer:

  -12.5%

Step-by-step explanation:

A percentage change is computed using ...

  percent change = ((new amount) -(original amount))/(original amount) × 100%

We want to find the percentage change from 4.8 m, so we have ...

  percent change = (4.2 -4.8)/4.8 × 100% = -.6/4.8×100% = -12.5%

The carpenter made the track 12.5% too short.

7 0
3 years ago
What is 1 2/3 minus -5 2/3 as a fraction
Sati [7]
7 1/3 hope this helps!
7 0
3 years ago
Y= 5x + 13 <br> and<br> y= x + 45
arsen [322]

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

  • y=5x+13
  • y=x+45

Find x:

  • the two equation, the x and are breaked apart..
  • so find a number that they can both equal to together and has the same y.
  • multiply by 8..
  • 5·8=40
  • combine the terms for x and 13
  • 40+13=53
  • since x is 8 then if we add 8 with 45 it should be 53...
  • 8+45=53

y is:

  • this means that y=53.

Therefore, x=8 and y=53..

7 0
3 years ago
Solve for x............
Yanka [14]

Step-by-step explanation:

because angle A and C are similar, so

9x-8=28

9x=36

x=4

5 0
3 years ago
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