5. What are the coordinates of the vertices of the following rhombus centered at the origin, with SW = 2r and TZ = 2t ?
y
T
S
W
o
X
N
W(7,4), 7(+,-), S(--,),Z(--,-1)
OW (2,0), 7(0,21), S(-27,0), 2(0, -21)
OW(r,0), 7(0,0), 5(-1,0), 2(0,-1)
W(0,0), 7(0,2), S (27,0), Z (2r, 21)

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

okay..i will pick 8!

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"

yes

step-by-step explanation:

lol