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2 years ago

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Mathematics

1 answer:

Alecsey [184]2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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PLEASE HELP!!! Find the length of side x in simplest radical form with a rational denominator.

Kobotan [32]

Answer:

Step-by-step explanation:

$\frac{x}{7}=\frac{1}{\sqrt{3}}\\ \\ x=\frac{7}{\sqrt{3}}\\ \\ x=\frac{7\sqrt{3}}{3}$

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3 years ago

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed. Which lis

suter [353]

Answer:

$\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}$

Step-by-step explanation:

To get the order of the lengths in the order from greatest to least we will make the denominator of the given fractions common and then compare the numerators.

$\frac{3}{25}, \frac{\sqrt{3}}{11}, \frac{9}{100},\frac{\pi }{24}$

LCM of the denominators,

2 | 25 11 100 24

2 | 25 11 50 12

5 | 25 11 25 6

5 | 5 11 5 6

1 11 1 6

LCM = 2×2×5×5×6×11 = 6600

$\frac{3}{25}=\frac{3}{25}\times \frac{264}{264}$

$=\frac{792}{6600}$

$\frac{\sqrt{3}}{11}=\frac{\sqrt{3} }{11}\times \frac{600}{600}$

$=\frac{600\sqrt{3}}{6600}=\frac{1039}{6600}$

$\frac{9}{100}=\frac{9}{100}\times \frac{66}{66}$

$=\frac{594}{6600}$

$\frac{\pi }{24}=\frac{\pi }{24}\times \frac{275}{275}$

$=\frac{275\pi }{6600}$

$=\frac{864}{6600}$

Now we can arrange these fractions in the order of greatest to least.

$\frac{1039}{6600}>\frac{864}{6600}>\frac{792}{6600}>\frac{594}{6600}$

$\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}$

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3 years ago

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Flura [38]

(Option A), -7x + 12

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3 years ago

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If your square 5 more than a positive number the result is 88 more than 12 times the number

ivann1987 [24]

Answer:

(x + 5)? = 88 + 12x x² + 10x + 25 = 88+12x x² + 10x - 12x + 25 - 88 = 0 x2 - 2x - 63 = 0

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2 years ago