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devlian [24]
3 years ago
5

Rewrite in simplest radical form 1 over x^(−3/6). Show each step of your process.

Mathematics
1 answer:
meriva3 years ago
5 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\\\ ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}}

\bf \rule{34em}{0.25pt}\\\\ \cfrac{1}{x^{-\frac{3}{6}}}\implies x^{\frac{3}{6}}\implies x^{\frac{1}{2}}\implies \sqrt[2]{x^1}\implies \sqrt{x}

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Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be 1.5r.

We will use lateral surface area of pyramid to solve our given problem.

LSA=2\pi r h, where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

LSA=2\pi r\cdot (1.5)r  

Now we will find the total surface area of cylinder.

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TSA=2\pi r(2.5r)

\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}

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One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
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Answer:

The measure of the two supplementary angles are 65 degrees and 115 degrees.

Step-by-step explanation:

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According to given condition,

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Putting the value of x from above equation in equation (1),

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Now put the value of y in equation (1), so,

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