Find the diameter of a circle if its area is
a. 100cm2
Ibucm2
c. 400mcm2
d. - ncm2
4

cm  --- (a)

cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

Area is calculated as:

Substitute 100 for Area

Take π as 3.14. So, the expression become

Divide both sides by 3.14

Solve for r

But diameter = 2 * radius

So:

Area is calculated as:

Substitute 400 for Area

Divide both sides by 3.14

Solve for r

But diameter = 2 * radius

So:

The set of inequalities representing the scenario are:

Price = 14 s + 6 t

Time: s + 0.15 t ≤ 12

Number of items: 12 ≤ s + t  ≤ 20.

Step-by-step explanation:

The clothes designed by Jon is denoted as follows:

s = shorts

t = T-shirt

The cost of the items are:

Cost of shorts = $14

Cost of T-shirt = $6

Determine the price function:

Price = 14 s + 6 t

It is provided that Jon can work 12 hours a day,  at most. Also it takes him 15 minutes to design a T-shirt and an hour to design a  pair of shorts.

The time function is as follows:

Time: s + 0.15 t ≤ 12

It is also provided that Jon must design at least 12 items each day. But he cannot  design more than 20 items in one day.

The number of items designed each day is given by the inequality:

Number of items:

s + t ≥ 12

s + t  ≤ 20

⇒ 12 ≤ s + t  ≤ 20.