This diagram shows the dimensions of a concrete piece used to build a deck. What is the volume of the concrete piece?

Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.

The student is wrong, the total area = 16 ft² + 20 ft²

Step-by-step explanation:

See the attached figure.

The shown figure is a composite area of:

1) A rectangle with length of 8 ft and width of 4 ft

2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)

The area of the rectangle = length x width = 8 * 4 = 32 ft²

The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²

So, the total area = 32 + 4 = 36 ft²

OR

The figure can be consists of :

1) A square of side length of 4 ft

2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)

So,

The area of the square = 4 * 4 = 16 ft²

The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²

So ,the total area = 16 + 20 = 36 ft²

So,

The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft

So, the student is wrong

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: