A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the near
est tenth. The perimeter of the fountain is about a feet.
1 answer:
complete question:
A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft. Find the perimeter of the fountain. Round your answer to the nearest tenth. The picture is represented below.
Answer:
The perimeter of the fountain = 47.1 ft
Step-by-step explanation:
The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.
The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,
perimeter for a full circle = 2πr
Half circle = 2πr/2 = πr
For 2 half circle = πr + πr = 2πr
For 2 half circle = 2πr
r = 10/2 = 5
perimeter for 2 half circle = 2 × 5 × 3.14 = 31.4 ft
Perimeter for the quarter circle
r = 10 ft
Quarter circle perimeter = 1/4 × 2πr = πr/2
Quarter circle perimeter = (3.14 × 10)/2
Quarter circle perimeter = (31.4)/2
Quarter circle perimeter = 15.7 ft
The perimeter of the fountain = 15.7 ft + 31.4 ft = 47.1 ft
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Answer:
$0.54
Step-by-step explanation:
Given:
The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams.
At present, however, each jar contains an extra 20% free.
And additionally, the supermarket has a "buy 3 jars get another one free''.
Question asked:
By how much is the cost per 100 grams of peanut butter less than it normally is if I take full advantage of the supermarket's offer today?
Solution:
Cost of a jars of peanut = $7.20
Normally, weight of peanut butter in one packet = 500 gram
At supermarket offer, each jar contains an extra 20% free, means a packet of peanut butter contains = 500 + 20% of 500
And extra benefit = buy 3 jars get another one free, means we will get 4 jars by just giving price of only 3 jars.
That means, total weight of peanut butter you are getting by giving 3 packet's price = Each jar weigh number of jars
= 600 4 = 2400 gram
<u>Cost of each packet will be same as previously as during the offer;</u> $7.20
Cost of 3 packet's peanut (2400 gram) =
Now, we will calculate cost per 100 grams of peanut butter :
<u>During offer:</u>
Cost of 2400 grams of peanut butter = $21.6
Cost of 1 gram of peanut butter =
Cost of 100 gram of peanut butter =
<u>Normal day:</u>
Cost of 500 grams of peanut butter = $7.20
Cost of 1 gram of peanut butter =
Cost of 100 gram of peanut butter =
We found that cost of 100 gram of peanut butter in normal day is $1.44 while cost of 100 gram of peanut butter during offer is $0.9 means cost per 100 gram during offer is ($1.44 - $0.9 = )$0.54 less than cost during normal day.
<u>Conclusion:</u>
Therefore, cost per 100 grams of peanut butter is $0.54 less than it is normally if you take full advantage of the supermarket's offer today.