The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus

. A whole side of the triangle is

. Multiply that by 3 to get the perimeter of <span>

.</span>
16 +28+32+4=80 80 total coins x.15 =12 coins sold
For 1 hour, money = $20
For $140, it would be: 140/20 = 7 hours.
So, option C is your final answer.
Hope this helps!
Answer:
- 17.9% of men have a HS degree
- 50.5% of 2-yr degree earners were women
- 27.9% of the group has a 4-yr degree or higher
Step-by-step explanation:
It is convenient to use a spreadsheet to total the numbers for you. This reduces errors and put the numbers in a form that makes it easy to see what you're working with in any given calculation.
men with HS degree = (male HS)/(all male)
= 76/425 ≈ 0.1788 ≈ 17.9%
__
2-yr degrees that are women = (female 2-yr)/(2-yr total)
= 248/491 ≈ 0.5051 ≈ 50.5%
__
4-yr degrees in group = (4-yr degrees)/(total group)
= 258/925 ≈ 0.2789 ≈ 27.9%
_____
<em>Comment on the problem</em>
The spreadsheet is identical to the one used for your other problem. All that needed to be done was to enter the new numbers. The formatting, headers, and formulas remained the same. For solving these problems, it's a matter of picking the two numbers needed from the appropriate row or column and computing their ratio.
(The computations were done by hand here to better show you the numbers used and the rounding to tenth percent. They can be done in the spreadsheet with point and click.)