The answer is A. sin40=6/x
476.00×5%=23.80 tax=476+23.80=499.80
499.80×15%=74.97
499.80+74.97=574.77
Answer:
is a character from Touhou Project debuting in the video game, Subterranean Animism. She is the Mistress of the Palace of the Earth Spirits after the underground city was separated from Hell.
Step-by-step explanation:
Answer:
A is answer
Step-by-step explanation:
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Answer:
![\large\boxed{the\ radius\ R=\dfrac{1}{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bthe%5C%20radius%5C%20R%3D%5Cdfrac%7B1%7D%7B2%7D%7D)
Step-by-step explanation:
The formula of a volume of a sphere:
![V=\dfrac{4}{3}\pi R^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20R%5E3)
We have
![V=\dfrac{1}{6}\pi](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B6%7D%5Cpi)
Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
![3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}](https://tex.z-dn.net/?f=3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E1%5Ccdot%5Cdfrac%7B4%7D%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7DR%5E3%3D3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E1%5Ccdot%5Cdfrac%7B1%7D%7B6%5C%21%5C%21%5C%21%5C%21%5Cdiagup_2%7D)
<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)