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strojnjashka [21]
3 years ago
12

The area of a rectangle is 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same are b

ut a different perimeter. Is the second rectangle a square?
Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0
The second one would be a square
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Using an arithmetic sequence, it is found that:

i) They collected 300 bottles on June 25th.

ii) The day was July 18th.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

In this problem, the sequence is: {417 ,404 ,391, .........}, hence the first term is a_1 = 417, the common difference is d = -13, and the equation is:

a_n = 417 - 13(n - 1)

Item i)

They started on June 15th, hence June 25th is the 10th day, thus:

a_{10} = 417 - 13(9) = 300

They collected 300 bottles on June 25th.

Item ii)

This is n days after June 15th, for which a_n = 1, hence:

a_n = 417 - 13(n - 1)

1 = 430 - 13n

13n = 429

n = 33

33 days after June 15th is July 18th.

More can be learned about arithmetic sequences at brainly.com/question/6561461

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