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yuradex [85]
3 years ago
15

Step by step directions Square root for 480

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
<span>  <span>first off your answer is 21.90 and the step by step i  wrote it for you:) Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. </span> The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.   </span>                                                                                                                                                                          <span>Many mathematical operations have an inverse, or opposite, operation. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Squaring, which we learned about in a previous lesson (exponents), has an inverse too, called "finding the square root." Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … </span> The square root of a number, n, written <span> is the number that gives n when multiplied by itself. For example,</span> <span>because 10 x 10 = 100</span> Examples Here are the square roots of all the perfect squares from 1 to 100. Finding square roots of of numbers that aren't perfect squares without a calculator 1. Estimate - first, get as close as you can by finding two perfect square roots your number is between. 2. Divide - divide your number by one of those square roots.
3. Average - take the average of the result of step 2 and the root. <span>4. Use the result of step 3 to repeat steps 2 and 3 until you have a number that is accurate enough for you.
</span> Example: Calculate the square root of 10 () to 2 decimal places. <span>1. Find the two perfect square numbers it lies between.
</span> <span><span>Solution:
</span><span>32 = 9 and 42 = 16, so lies between 3 and 4.</span></span> <span>2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)</span> <span>3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667</span> <span>Repeat step 2: 10/3.1667 = 3.1579</span><span>Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span> Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001 If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3. <span>Note: There are a number of ways to calculate square roots without a calculator. This is only one of them.</span>         <span><span>
</span> </span>
<span>  <span />Example: Calculate the square root of 10 () to 2 decimal places. <span>1. Find the two perfect square numbers it lies between.
</span> <span><span>Solution:
</span><span>32 = 9 and 42 = 16, so lies between 3 and 4.</span></span> <span>2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)</span> <span>3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667</span> <span>Repeat step 2: 10/3.1667 = 3.1579
Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span> <span>Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001</span> If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3.                             </span> <span> <span><span> <span>   </span></span></span></span>
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Step-by-step explanation:

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Step-by-step explanation:

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Which expression is equivalent to (sin x + 1)(sin x − 1)? A. cos2x B. -cos2x C. cos2x + 1 D. cos2x − 1 E. -cos2x + 1
Semenov [28]

ANSWER

B.

- \cos^{2} x

EXPLANATION

The given expression is

(sin x + 1)(sin x − 1)

Note that:

(x + 1)(x - 1) =  {x}^{2}  - 1

This implies that,

( \sin \: x + 1)( \sin \: x - 1)  =   \sin^{2} x - 1

We can factor -1 on the right hand side to get,

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Note that from the Pythagorean Identity

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( \sin \: x + 1)( \sin \: x - 1)  = - \cos^{2} x

The correct choice is B

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3 years ago
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