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zubka84 [21]
3 years ago
8

The width of a rectangle is 6 less than the length. A second rectangle with perimeter 54, is 3 wider and 2 shorter than the firs

t. Find dimensions of each rectangle.​
Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Check the picture below.

\stackrel{\textit{\large 1st rectangle}}{\stackrel{L}{16}\times\stackrel{L-6}{10}}\qquad \qquad \stackrel{\textit{\large 2nd rectangle}}{\stackrel{L-2}{14}\times\stackrel{(L-6)+3}{13}}

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Which equation demonstrates the additive identity property?
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The second one

Step-by-step explanation:

Additive identity is adding 0 to a number

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A triangle has 3 sides, 10000, 1000, 10x. Find 10x. What 2 numbers can x be between.
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The triangle inequality applies.

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3 years ago
How do I evaluate:<br> (-1000)1/3
Gennadij [26K]

9514 1404 393

Answer:

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Step-by-step explanation:

The first step is to write what you mean. We think you mean (-1000)^(1/3).

If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...

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Then your expression is ...

  (-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10

__

Some calculators can evaluate this for you (see attached).

Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:

  (-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10

_____

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