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valentinak56 [21]
3 years ago
8

Pythagorean Theorem

Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer:

4320.43

Step-by-step explanation:

You need to figure out the Pythagorean Theorem and then use that answer to find the area. You will then get 4320.43.

Hope this helps.

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
2 years ago
Is 3/10 equivalent to 2/5 please tell me the right answer
aev [14]
3 divided by 10 is 0.3

2 divided by 5 is 0.4.

They are not equivalent.
8 0
3 years ago
Geometry help needed. more information in the picture. please help. would be greatly appreciated.
ratelena [41]

Answer:

60

Step-by-step explanation:

180-120=60so the answer is a 60

4 0
2 years ago
Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an i
pashok25 [27]

Answer:

0.105 = 10.5% probability that an accident results in a death.

Step-by-step explanation:

What is the probability that an accident results in a death?

5% of 60%(sunny)

25% of 20%(foggy)

12.5% of 20%(rainy)

So

p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105

0.105 = 10.5% probability that an accident results in a death.

6 0
2 years ago
What is 8.2 divided by 2.87
igor_vitrenko [27]
8.2/2.87 
=2.857143

:)

Hope this helps!
6 0
2 years ago
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