You are constructing a tangent line from a point outside a given circle to the circle. You have connected the center of the circle to the point outside the circle and found the midpoint (point M) of that segment. What should you use to find the appropriate compass setting for the next step? •The point outside the circle and the edge of the circle.

•The radius of the circle.

•The center of the circle and the intersection of the arcs used to find the midpoint

•The center of the circle and the midpoint (point M) of the segment

HLP PLEAS

1,918

step-by-step explanation:

g

step-by-step explanation:

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