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victus00 [196]
3 years ago
7

The first term of a geometric series is 124. The sum to infinity is 64 . Find the common ratio​

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

9514 1404 393

Answer:

  -15/16  

Step-by-step explanation:

The sum of a geometric series with first term a1 is ...

  S = a1/(1 -r)

Then the common ratio (r) is ...

  r = 1 -a1/S

For the given values, the ratio is ...

  r = 1 - 124/64 = -15/16

The common ratio is -15/16.

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Answer:

The area of the rectangular coral = 2,976 ft²

Step-by-step explanation:

Bryce has 220 ft of fencing to fence a rectangular coral.

Let the dimensions of the corral be x ft. × y ft.

One side of the coral is 48 ft. long

A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.

Total length of material for fencing = 220 ft.

Hence the perimeter of the reef = 220 ft.

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And one length of the rectangular coral = x = 48 ft.

We can solve for the remaining dimension of the rectangular coral this way.

2(48) + 2y = 220

2y = 220 - 96 = 124

y = (124/2) = 62 ft.

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Hope this Helps!!!

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