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Anastasy [175]
3 years ago
8

two airplane leave an airport at the same time. after one hour airplane a is 315 kilometers away from the airport airplane b is

405 kilometers away from the airport and the airplanes are 285 kilometers apart. what is the approximate angle between the flight paths of the airplanes
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Picture Attached..

Answer.. 44.52°

<h3>Hope This Helps You</h3>

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Answer:

43.693

Step-by-step explanation:

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Which value or values would make this equation true? [?]=9
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Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

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Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

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Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
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lana66690 [7]

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Is the distance around a circle . You calculate the of a circle by multiplying the diameter by 3.14
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