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3 years ago

Simplifying radicals

Mathematics

1 answer:

Xelga [282]3 years ago

8 0

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$\sqrt{12} - \sqrt{48} =$

$\sqrt{12} - \sqrt{4 \times 12} =$

$\sqrt{4 \times 3} - \sqrt{4 \times 4 \times 3} =$

$\sqrt{ {2}^{2} \times 3 } - \sqrt{ {4}^{2} \times 3 } =$

$2 \sqrt{3} - 4\sqrt{3} =$

$(2 - 4) \sqrt{3} =$

$- 2 \sqrt{3}$

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Decimals from least to greatest please help put in order. 2.2, 2.15, 2.2012, 2.501

Ivan

Answer: 2.15, 2.2, 2.2012, 2.501

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3 years ago

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find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle -15pi/17

natta225 [31]

ANSWER
$=\frac{19}{17} \pi$

EXPLANATION

To find a positive angle that is coterminal with
$- \frac{15}{17} \pi$

We add multiples of 2π until we get a positive angle that is less than one revolution,

We add to obtain,

$- \frac{15}{17} \pi + 2\pi$

This simplifies to,

$= \frac{19}{17} \pi$

This is the first positive angle that is coterminal with
$- \frac{15}{17} \pi$

and is less than one revolution.

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3 years ago

DUE IN 30 MINS!!!<br> plz help T-T

-Dominant- [34]

Answer:

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3 years ago

The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per

vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

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3 years ago

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Solve please :) need to figure out which one is true

olasank [31]

Answer:

Option B is true

Step-by-step explanation:

The formula for Cos is Adjacent/hypotenuse. 12 is Adjacent to angle e, and 17 is the hypotenuse.

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2 years ago

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