1. a resort hotel charges 12.5 % in taxes. additionally, they charge a $25 resort fee each
day. (the resort fee is not subject to sales tax.)
the following functions represent the situation:
f(a) = 1.125a
g(b) = b +25
a. match the following their description.
a
b
a. the cost of the hotel room and sales tax, but without the resort fee.
b. the cost of the hotel room without sales tax or the resort fee.
c. the cost of the hotel room, with sales tax and the resort fee.
be
f(a)
cg(b)
b. is g(f(a)) = g(b)? justify your answer.

i dont know

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

32

step-by-step explanation:

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.