Answer:
It costs $0.216 to make smaller can and $0.324 to make larger can
Step-by-step explanation:
Given:
The ratio of the surface areas = 4:9
Area of smaller cans = 36 sq in
Cost = $0.006 per square inch
To Find:
how much does it cost to make each can = ?
Solution:
Lets the area of the larger can be x
the ratio is 4 : 9
then 4x = 9.(36)
4x = 216

x = 54
The area of the larger can is 54 sq in
Now the cost of making the smaller can =
= $0.216
The cost of making the Larger can =
=$0.324
<h3>
Answer: </h3><h3>
Yes, the triangles are similar</h3><h3>
AC = 6</h3>
======================================================
Explanation:
Focus on triangle ABC. Let's find the missing angle
A+B+C = 180
113+B+22 = 180
B+135 = 180
B = 180-135
B = 45
Between the triangles, have two pairs of angles that are congruent
A = D = 113
B = E = 45
Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22
Since we have A pair with D, and B pair with E, this means that 
The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.
Consequently, this means sides BC and EF pair up and AC and DF pair up
We can then say...
BC/EF = AC/DF
18/12 = x/4
18*4 = 12*x
72 = 12x
12x = 72
x = 72/12
x = 6
AC = 6
9 1/8
4/8+5/8=9/8=1 1/8
5+3=8
8+1 1/8=9 1/8
The answer should be $30 cause it's only 25% off