Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1, point, 1 times the height of the can in centimeters in order to withstand pressure. Due to cost constraints, the cost of material used, (0.2 + t+ 0.5h)cents, must be at most 12.2, point, 2 cents. Which system of inequalities best models the relationship between height and thickness?

and

Step-by-step explanation:

Given

From the first statement, we have that:

Convert mm to cm

Divide both sides by 0.1

From the second statement, we have that:

Substitute 0.2 + t + 0.5h for Cost

Collect Like Terms:

So, the inequalities are:

and

area=38.465, circumference=21.98

Step-by-step explanation:

Divide the diameter by 2 to find the radius

7/2=3.5

Use the formula πr^2 find area

3.5*3.5=12.25

12.25*3.14=38.465

a=38.465

Then, use the formula 2πr to find circumference

2*3.14=6.28

6.28*3.5=21.98

c=21.98