3 years ago

I WILL PAYPAL YOU 20 POINTS IF U DO THIS

Mathematics

1 answer:

Umnica [9.8K]3 years ago

6 0

Answer:

What is the variable behind the 5?

Step-by-step explanation:

$\frac{13*5^{3}*z^{10}}{x^{5}}$

$\frac{1625 z^{10}}{x^{5}}$

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Solve 96 = 2w^2, where w is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separ

larisa86 [58]

Answer:

Step-by-step explanation:

96 = 2w²

48 = w²

√48 = w

√(16)(3) = w

± 4√3 = w

± 6.93

w = 6.93, -6.93

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3 years ago

Find the cube roots of 8(cos 216° + i sin 216°).

Tomtit [17]

$z^3=8(\cos216^\circ+i\sin216^\circ)$
$z^3=2^3(\cos(6^3)^\circ+i\sin(6^3)^\circ)$
$\implies z=8^{1/3}\left(\cos\left(\dfrac{216+360k}3\right)^\circ+i\sin\left(\dfrac{216+360k}3\right)^\circ\right)$

where $k=0,1,2$ . So the third roots are

$z=\begin{cases}2(\cos72^\circ+i\sin72^\circ)\\2(\cos192^\circ+i\sin192^\circ)\\2(\cos312^\circ+i\sin312^\circ)\end{cases}$