Hello!!
Answer:
4.2%
Step by step explanation:
I don’t know how to explain it but here’s a step by step explanation ig lol
Answer:
![r^2 sin2\theta = 12](https://tex.z-dn.net/?f=r%5E2%20sin2%5Ctheta%20%3D%2012)
Step-by-step explanation:
Given
![xy = 6](https://tex.z-dn.net/?f=xy%20%3D%206)
Required
Get polar equivalent
Polar coordinate
and rectangular coordinate
are related in such a way that:
and ![y = rsin\theta](https://tex.z-dn.net/?f=y%20%3D%20rsin%5Ctheta)
So, substitute
and
in ![xy = 6](https://tex.z-dn.net/?f=xy%20%3D%206)
![rcos\theta * rsin\theta = 6](https://tex.z-dn.net/?f=rcos%5Ctheta%20%2A%20rsin%5Ctheta%20%3D%206)
This can be rewritten as:
![r * cos\theta * r * sin\theta = 6](https://tex.z-dn.net/?f=r%20%2A%20cos%5Ctheta%20%2A%20r%20%2A%20sin%5Ctheta%20%3D%206)
Reorder
![r * r * cos\theta * sin\theta = 6](https://tex.z-dn.net/?f=r%20%2A%20r%20%2A%20cos%5Ctheta%20%2A%20sin%5Ctheta%20%3D%206)
![r^2 * cos\theta * sin\theta = 6](https://tex.z-dn.net/?f=r%5E2%20%2A%20cos%5Ctheta%20%2A%20sin%5Ctheta%20%3D%206)
Multiply both sides by 2
![2 * r^2 * cos\theta * sin\theta = 6 * 2](https://tex.z-dn.net/?f=2%20%2A%20r%5E2%20%2A%20cos%5Ctheta%20%2A%20sin%5Ctheta%20%3D%206%20%2A%202)
![2 * r^2 * cos\theta * sin\theta = 12](https://tex.z-dn.net/?f=2%20%2A%20r%5E2%20%2A%20cos%5Ctheta%20%2A%20sin%5Ctheta%20%3D%2012)
Reorder
![r^2 * 2 * cos\theta * sin\theta = 12](https://tex.z-dn.net/?f=r%5E2%20%2A%202%20%2A%20cos%5Ctheta%20%2A%20sin%5Ctheta%20%3D%2012)
![r^2 * 2cos\theta sin\theta = 12](https://tex.z-dn.net/?f=r%5E2%20%2A%202cos%5Ctheta%20sin%5Ctheta%20%3D%2012)
In trigonometry:
![sin2\theta = 2sin\theta cos\theta = 2cos\theta sin\theta](https://tex.z-dn.net/?f=sin2%5Ctheta%20%3D%202sin%5Ctheta%20cos%5Ctheta%20%3D%202cos%5Ctheta%20sin%5Ctheta)
So, the expression becomes
![r^2 * sin2\theta = 12](https://tex.z-dn.net/?f=r%5E2%20%2A%20sin2%5Ctheta%20%3D%2012)
![r^2 sin2\theta = 12](https://tex.z-dn.net/?f=r%5E2%20sin2%5Ctheta%20%3D%2012)
Hence, the equivalent of
is ![r^2 sin2\theta = 12](https://tex.z-dn.net/?f=r%5E2%20sin2%5Ctheta%20%3D%2012)
Answer:
17.6
Step-by-step explanation:
Answer: n
a
2
?
−
n
a
2
b
+
n
b
a
?
+
n
b
3
Step-by-step explanation:
4$×4=16$ 16$+16$=32$.
archie earns 32$ in 2 minths