Express each fraction as a decimal:- 2 4/100

1 answer:

7 0

-0.24

this is because whenever it’s /100, the decimal at the back moves 2 twice

meaning it starts from -24. to -2.4 and lastly -0.24

whenever the dot ends at .24, a zero must be added

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Long Division

Elenna [48]

check the picture below.

7 0

3 years ago

Please show work and thank youuu

Assoli18 [71]

Answer: $6\sqrt{3}$

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Explanation:

Method 1

We can use the pythagorean theorem to find x.

$a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\$

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Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

$\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\$