10 !

what is the value of x in this triangle

14.04º

Step-by-step explanation:

Since it is a right-angle triangle, we can apply the trigonometry identity.

The Tangent rule state that Tan (θ) = Opposite/Adjacent

In the diagram, the opposite (the side that is opposite of the θ) is 5 units.

The adjacent (the side that is along the θ) is 20 units.

Applying the identity,

Tan (θ) = 5/20

θ = 14.04º (nearest hundredth)

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.

i can you with this answer

step-by-step explanation: