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7nadin3 [17]
3 years ago
5

Help plz geometry ASAP

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

60

Step-by-step explanation:

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The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

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The above shows the arithmetic sequence,

The sum of the n natural number is given by:

\rm S_n = \dfrac{n(n+1)}{2}

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After solving, we will get a quadratic equation:

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n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

Learn more about the sequence here:

brainly.com/question/21961097

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