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3 years ago

8

Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0.

2 answers:

marishachu [46]3 years ago

8 0

Answer:

A

Step-by-step explanation:

Andru [333]3 years ago

5 0

<span>5 and 764 over 999 Converting a repeating decimal into a rational fraction is easy to do. So let's do it and see what we come up with to compare against the available options. 5.764764764 ... It's obviously 5 + some fraction 0.764764764 ... so X = 0.764764764 ... 1000 X = 764.764764764 ... - X 0.764764764 ... 999 X = 764 X = 764/999 So the answer is 5 and 764/999 Looking over the available options, only the response "5 and 764 over 999" matches.</span>

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Step-by-step explanation:

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2 years ago

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Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed

lara [203]

Answer:

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Step-by-step explanation:

<u>Volume of a cylinder</u>

$\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

h = 18cm
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Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

$\implies \sf 1715=\pi r^2 (18)$

$\implies \sf r^2=\dfrac{1715}{18 \pi}$

$\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}$

<u>Surface Area of a Cylinder</u>

$\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}$

Substitute the given value of h and the found value of r into the formula and solve for SA:

$\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)$

$\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

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Step-by-step explanation:

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