Find the area of the figure. Use 3.14 for Pi, and round your answer to the nearest tenth. Rectangle capped by a right triangle on one end and a semicircle on the other
A rectangle topped by a semicircle and triangle. The rectangle has length 6 yards and width 4 yards. The triangle has side lengths 3 yards and 4 yards. The semicircle has diameter 4 yards.
a.
42.6 sq. yd
b.
36.3 sq. yd
c.
42.3 sq. yd
d.
None of these

y > 1/3x

y < = -x + 4

hope this : )

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

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

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