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2 years ago

The U.S. Flag has 50 white stars, 6 white stripes, and 7 red stripes. What is the relationship between stars and total stripes?

Mathematics

2 answers:

Svetradugi [14.3K]2 years ago

8 0

Answer:

The relationship between stars and total stripes are 50 : 13.

Step-by-step explanation:

When you add all the stripes, it equals 13. There are 50 stars so this is the answer.

Snowcat [4.5K]2 years ago

8 0

Answer:

There are 50 stars for the 50 states of the US today, the 13 (6+7) stripes are for the original 13 colonies.

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A hemisphere has an area of 256 pi cm^2. What is its volume?

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$\bf \begin{array}{llll}
\textit{surface area of a sphere}\\\\
A=4\pi r^2
\\\\\\
\textit{a hemisphere is half that}\\\\
A=\cfrac{4\pi r^2}{2}\implies A=2\pi r^2
\end{array}\qquad r=radius
\\\\\\
\textit{now, we know the area is }256\pi \implies 256\pi =2\pi r^2
\\\\\\
\cfrac{256\pi }{2\pi }=r^2\implies \sqrt{128}=r\implies \boxed{8\sqrt{2}=r}
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V=\cfrac{\frac{4}{3}\pi r^3}{2}\implies V=\cfrac{\frac{4\pi r^3}{3}}{\frac{2}{1}}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}
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V=\cfrac{2\pi r^3}{3}
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\textit{now, we know the radius is }8\sqrt{2}\implies V=\cfrac{2\pi (8\sqrt{2})^3}{3}
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V=\cfrac{2\pi (8^3\sqrt{2^3})}{3}\implies V=\cfrac{2\pi \cdot 512\cdot 2\sqrt{2}}{3}
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\boxed{V=\cfrac{2048\pi \sqrt{2}}{3}}$

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