Native americans once lived near cartersville, georgia, in an area that is now a state park. they constructed burial mounds that often contained artifacts, such as beads, feathers, and copper ear ornaments. one of the park's mounds is 63 feet in height. be a math detective. if the top of the mound is rectangular in shape with a perimeter of 322 yards, what could be the side lengths of the rectangle?

i think the answer is fried chicken ; >

step-by-step explanation:

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step-by-step explanation:

other answer is correct. i had used the radius of the radius somehow. a website:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt