<em>An </em><em>apothem</em><em> is a line from the center of a regular polygon at right angles to any of its sides.</em>
<u>For part A</u>,
We want to find area of pentagon (5 sided figure) given apothem is 1.38 in and side length as 2 inch.
If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?
square inches
<u><em>How many such triangles are there in a pentagon? 10. So we multiply 0.69 by 10 to get total area of pentagon.</em></u>
Area of Pentagon = 
square inches.
<u>For part B</u>,
We want to find area of hexagon (6 sided figure) given apothem is 1.73 in and side length as 2 inch.
If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?
square inches
<em><u>How many such triangles are there in a hexagon? 12. So we multiply 0.865 by 12 to get total area of hexagon.</u></em>
Area of Hexagon = 
square inches.
ANSWER:
Area of Pentagon is 6.9 square inches.
Area of Hexagon is 10.4 square inches.
In order to divide $306 into the ratio of 9 to 5 to 3, first you have to make each section of the ratio represented by a variable, and put it into an equation.
9x + 5x + 3x = 306
Our next step is to simplify the left side of the equation by combining all of the like terms, the ones that contain variables.
17x = 306
Finally, to solve this equation, you have to divide both sides by 17 to isolate the variable x on the left side of the equation.
x = 18
However, this is not our answer as it isn't in a ratio format and doesn't really make sense. To find our ratio, we have to multiply each of our initial numbers (9, 5, and 3) by our variable, x.
9 * 18 = 162
5 * 18 = 90
3 * 18 = 54
You can verify that these numbers are correct because if you add them together you get 306.
Your final ratio is 162:90:54.
Hope this helps! :)
If you have a separate specific question about pre-tax prices and PMed me the link, I'd be happy to help you.
Answer:
d. 32.9
Step-by-step explanation:
To find c, we'll use the Law of Sines that says:
And we'll isolate a to get:
We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:
A = 180 - 90 - 47.3 = 42.7
(converted 47°18' to 47.3)
Then we will plug-in the information we already have
So, let's round it to 32.9 to match the answer number D.
Answer:
$1.66
Step-by-step explanation:
First you need to divide $6.74 by 12 then you will get $0.55. Next you need to multiply $0.55 by 3 cans of black beans and you should get $1.66.
