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
First observe that if 
,
Let 
and 
. It follows that
Now let 
, so 
. Solving for 
,
which means
Now solve for 
.
(note that we assume 
)
(we omit 
since 
is not true)
Answer: (C) the 2633 viewers who phoned in.
Step-by-step explanation:
In statistics , a sample is a countable subset of a large population that represents the entire population.
Given : A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax.
It asks its viewers to phone in and indicate whether they support or are opposed to an increase in the state sales tax in order to generate additional revenue for education.
Of the 2633 viewers who phone in, 1474 (55.98%) are opposed to the increase.
i.e. 1474 out of 2633 viewers opposed to the increase.
Clearly , 2633 viewers are representing the entire population of viewers.
Hence, the sample obtained is the 2633 viewers who phoned in.
1 kg = 2.20462 lbs
so 2.7 kg = 2.7(2.20462) = 5.952474....rounds to 5.95 lbs
