Answer: 2/3 books on politics
Step-by-step explanation:
The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.
Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.
= Number of politics books / Number of history books
= 4 / 6
= 2/3 books on politics
<em>Bill gave up 2/3 books on politics to get a single history book. </em>
First, convert all of the cm measurements to m measurements (so they are all the same unit measurement)
2000 cm = 20 m 800 cm = 8m
<u>Total Perimeter </u>(Note that circumference of a semi-circle is 2 π r/2 = π r)
Add up the lengths of all of the outside edges. I am going to start on the top and move counter-clockwise:
40 + π (10) + 8 + 25 + 8 + (40 - 25 - 10) + 8 + 10 + 8 + π(10)
= 40 + 10π + 41 + (5) + 26 + 10π
= 112 + 20π
= 112 + 62.8
= 174.8
Answer: 174.8 m
<u>Total Area</u>
Split the picture into 5 sections (2 semi-circles, top rectangle, bottom left rectangle, and bottom right rectangle). Find the area for each of those sections and then add their areas together to find the total area.
2 semi-circles is 1 Circle: A = π · r² ⇒ A = π(20/2)² = π(10)² = 100π ≈ 314
top rectangle: A = L x w ⇒ A = 40 x 20 = 800
bottom left rectangle: A = L x w ⇒ A = 25 x 8 = 200
bottom right rectangle: A = L x w ⇒ A = 10 x 8 = 80
Total = 314 + 800 + 200 + 80 = 1394
Answer: 1394 m²
The answer to the first part is 3 1/2 and the answer to the second question is 2/7
Answer:
3.11
Step-by-step explanation:
[(3.5)(2) + (3)(3+4)] ÷ 9
(7 + 21)/9 = 28/9
3.111111
3.11