Given: circle a externally tangent to circle b.

how many possible common tangents to circles a and b can exist?

a. 2

b. 3

c. 4

B. 3

Step-by-step explanation:

We have been given an image two circles such as circle A externally tangent to circle B. We are asked to find the number of possible common tangents to circles A and B.  

We know that tangent of a circle is a line that touches circle exactly at one place.

We can see both triangles touch each other externally. We know that maximum 3 common tangents can be drawn two two circles, when they touch each other externally.

Therefore, the answer of our given problem is 3 and option B is the correct choice.

answer: there are 453.592 grams in a pound.

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.