What is 0.05 as a fraction

Mathematics

2 answers:

umka2103 [35]3 years ago

7 0

0.05 would equal 5/100 then simplified would be 1/20. So the final answer is 1/20!

zysi [14]3 years ago

3 0

The 5 is in the hundredths place so the number is read as five hundredths. Five hundredths in fraction form is five out of 100, which is 5/100. Simplified, it equals 1/20.

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A cylinder has a volume of approximately 565 cubic inches. Which of the following best describes the dimensions of the cylinder

rusak2 [61]

Answer:

Step-by-step explanation:

Try each one using the formula for the volume of a cylinder, pi * r^2 * h:

A. 3.14 * 12^2 * 5 = about 2261 which does not equal 565

B. 3.14 * 10^2 * 4 = about 1256 which does not equal 565

C. 3.14 * 6^2 * 5 = about 565 which is correct!

D. 3.14 * 6^2 * 10 = about 1130 which does not equal 565

Therefore C is the right answer.

3 0

3 years ago

Read 2 more answers

Rationalize the denominator of $\displaystyle \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}$, and write your answer in the form\[

Butoxors [25]

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Answer:

Step-by-step explanation:

Apparently, you want to simplify ...

$\displaystyle \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}$

so the denominator is rational. It looks like the form you want is ...

$\dfrac{A\sqrt{2} + B\sqrt{3} + C\sqrt{7} + D\sqrt{E}}{F}$

And you want to know the sum A+B+C+D+E+F.

We can start by multiplying numerator and denominator by a conjugate of the denominator. Then we can multiply numerator and denominator by a conjugate of the resulting denominator.

$\displaystyle =\frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}\cdot\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{\sqrt{2} + \sqrt{3} - \sqrt{7}}=\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{2\sqrt{6}-2}\\\\=\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{2\sqrt{6}-2}\cdot\frac{\sqrt{6}+1}{\sqrt{6}+1}=\frac{(1+\sqrt{6})(\sqrt{2}+\sqrt{3}-\sqrt{7})}{10}\\\\=\frac{\sqrt{2}+\sqrt{3}-\sqrt{7}+2\sqrt{3}+3\sqrt{2}-\sqrt{42}}{10}=\frac{4\sqrt{2}+3\sqrt{3}-\sqrt{7}-\sqrt{42}}{10}$