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ANEK [815]
3 years ago
9

A patio in the shape of a regular octagon (8-sided figure) has a side length of 24 ft and an apothem length of 60 ft. What is th

e patio’s area?
Mathematics
1 answer:
Damm [24]3 years ago
8 0
Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft

Area of a regular octagon = 2 * a² * (1 + √2)
a = side length

A = 2 * (24ft)² * (1 + √2)
A = 2 * 576ft² * (1 + 1.414)
A = 2 * 576ft² * 2.414
A = 2,780.93 ft²

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A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided
Tju [1.3M]
The number of recycle bins that the city gives to citizens:
7204 : 2= 3602
The number of recycle bins is left:
7204 - 3602= 3602
The largest number of bins that can be given in each group:
3602 : 23 = 156 (residual: 14)
=> There are 14 bins left over.
4 0
3 years ago
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much
Mama L [17]
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
 For this case we must first take the amount $ per month.
 We have then:
 1 $ ---> 4000
 x = ----> 320000
 Solving for x we ​​have
 x = (320000/4000) * (1) = $ 80 / month
 We have then that 1 year two 12 months
 ($ 80 / month) * (12 months / 1 year) = $ 960 / year
 Answer
 the factory worker make 960 U.S. in dollars per year

 2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?

 For this case, the first thing you should know is that a week has 7 days.
 We can make a rule of three to find the number of ounces per week
 3 ---> 1
 x = ----> 7
 x = (7/1) * (3) = 21ounces / week
 Then, we should do the conversion of ounces to pounds
 1 oz = 0.0625 pounds
 Thus,
 (21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week
 answer
 3 ounces of fish per day is 1.3125 pounds / week

 3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?

 The first thing you should know in this case are the following conversions:
 1 year = 365 days
 1 inch = 2.54 centimeters
 We have the annual average rainfall is
 500 (inches / year)
 Making the conversion we have
 500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) =
 3.45 (centimeters / days)
 Answer
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4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day?
 The first thing you should know for this case are the following conversions
 1 hour = 60 minutes
 1 minute = 60 seconds.
 Making the right conversions we have
 330 (min / day) * (1/60) (hour / minutes) = 5.5hours / day
 On the other hand we have
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 answer
 330 (min / day) = 5.5hours / day
 330 (min / day) = 19800 sec / day
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3 years ago
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32 is closer to 33 than it is to 40
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The scale on a map that 5 centimeters = 2 kilometers
spin [16.1K]
So that is what we call a ratio and it looks like this
\frac{5cm}{2km} \\
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