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defon
3 years ago
10

You’re given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. H

ow many triangles can you construct using these measurements?
0
1
2
infinitely many
Mathematics
2 answers:
Sholpan [36]3 years ago
4 0
Only 1 triangle can be constructed with the given measurements.
ludmilkaskok [199]3 years ago
3 0

Answer: 1

Step-by-step explanation:

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5. Find the general solution to y'''-y''+4y'-4y = 0
CaHeK987 [17]

For any equation,

a_ny^(n)+\dots+a_1y'+a_0y=0

assume solution of a form, e^{yt}

Which leads to,

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Simplify to,

e^{yt}(y^3-y^2+4y-4)=0

Then find solutions,

\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}

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y_1=c_1e^t

Following up,

For two non repeated complex roots y_2\neq y_3 where,

y_2=a+bi

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the general solution has a form of,

y=e^{at}(c_2\cos(bt)+c_3\sin(bt))

Or in this case,

y=e^0(c_2\cos(2t)+c_3\sin(2t))

Now we just refine and get,

\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}

Hope this helps.

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Step-by-step explanation:

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