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1 answer:
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Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the 8 expressions are not given.
The general explanation is as follows
As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.
Then you categorize each result, depending on if it equals or not
Take for instance:
Using law of indices:
---- equivalent
Factorize the numerator
Cancel out 2
Apply law of indices
---equivalent
Express as exponent
Apply law of indices
---- equivalent
Solve exponents
---- not equivalent
<u>Given</u>:
The length of a suitcase is 36 inches.
The diagonal of the suitcase is about 51 inches.
We need to determine the width of the suitcase.
<u>Width of the suitcase:</u>
The width of the suitcase can be determined using the Pythagorean theorem.
Thus, we have;
where d is the diagonal, l is the length and w is the width.
Substituting the values, we get;
Squaring the terms, we have;
Subtracting both sides by 1296, we get;
Taking square root on both sides, we get;
Rounding off to the nearest inch, we get;
Thus, the width of the suitcase is 36 inches.