You’re working in the product development department of a large toy manufacturer. The two grids you’re working with will be laser cut and inserted into an interactive shapes game for toddlers. The dots on the grid are 1 inch apart. Two grids. The first grid consists of the following shapes: A rectangle with a length of 1 and a height of 4. A square with a length of 3. A square with a length of 1. 2 triangles with a base of 1 and a height of 1. The second shape consists of the following shapes: A triangle with a base of 4 and a height of 3. A square with a length of 3. Q. Find the total area for the two shapes in order to determine how much raw material will be cut away from the surface. Type the correct answer in the box. sq in

10

step-by-step explanation:

7+3=10

answer are

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