Ineed right

1.the net of a solid figure contains one wedge and one circle. which of the following options could be the solid figure?

a. cylinder
b. cone
c. sphere
d. pyramid

2. which of the following solid objects do not have an apex? select all that apply.

cylinder
pyramid
sphere
cube
cone

3. which of the following shapes is described as having one triangular base and three triangular faces?

a. square pyramid
b. cube
c. triangular pyramid
d. rectangular prism

12.what is the volume of a rectangular prism with the following dimensions?

length: 8 cm
width: 13 cm
height: 10.5 cm

a. 63 cm3
b. 1,092 cm3
c. 2,184 cm3
d. 649 cm3

1. Cone

2. Cylinder,sphere,cube

3. Triangular Pyramid

12. 1092

536

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