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nevsk [136]
3 years ago
14

Find (–1 –i sqrt(3))^10 .Express in rectangular form.

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0
Z = - 1 - i√3
x = - 1, y = -√3
r = |z| = √ ( -1)² + (-√3)² = √( 1 + 3 )= √4 = 2
Ф = arc tan ( -√3/-1 ) = arc tan (√3 ) = 60° = π/3 
r ^n ( cos nФ + i sinФ ) = 2^10 ( cos (10π/3) + i sin (10π/3) )=
= 2^10( -1/2 - i √3/2 ) = 2^9( - 1 - i √3 )
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Guys pls kindly help me with this one I will brainlest the one with a serious answer please I need it right now this is rush ple
Galina-37 [17]

Hey there :)

An exact answer cannot be given as it requires to reseach about banks and co-operatives in your locality. However, I can give you a hint.

Research banks or cooperatives in your location that has the greatest percentage in terms of investment or savings.

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If you invest your entire money 100,000 pesos at Bank ABC with 5% annual interest for 20 years, you will earn an interest of:

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4 0
3 years ago
Rectangle has diagonal of 28 and forms a60 degree angle with the bases what are the side lengths
Anna71 [15]
Sine (28) = opposite / hypotenuse =
0.46947 = opposite / 28
opposite = 0.46947 * 28
<span><span><span>opposite side = 13.14516 </span> </span> </span>

cosine (28) = adjacent / hypotenuse =
0.88295 = adjacent / 28
adjacent = 28 * .88295
<span><span><span>adjacent side = 24.7226 </span>

Double Check

</span> </span> <span>13.14516^2 + 24.7226^2 = 28^2
</span>
<span> <span> <span> 172.7952314256  </span> </span> </span> + <span> <span> <span> 611.20695076 </span> </span> </span> = 784

<span> <span> <span> 784.0021821856 </span> </span> </span> = 784

Correct to 5 significant figures


7 0
3 years ago
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