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castortr0y [4]
3 years ago
7

A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance f

rom the surfer to the shoreline
Mathematics
2 answers:
Wittaler [7]3 years ago
7 0

Answer:

The surfer is 39.7 ft from the shoreline.

Step-by-step explanation:

denis23 [38]3 years ago
6 0

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

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Last year there were 145 pies baked for the bake sale this year k pies baked using k write a expression for the total number of
allsm [11]

Answer:

The number of pies baked in the two years = ( k + 145) pies

Step-by-step explanation:

Here, we are interested in writing an expression for the total number of pies baked in the two years.

Last year, the number of pies baked = 145

This year the number of pies baked = k

Thus, the total number of pies baked in the two years will be ( k + 145) pies

5 0
3 years ago
Solve
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Answer:

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8 0
3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

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which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

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(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
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just olya [345]

Answer:

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2 years ago
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