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Leviafan [203]
3 years ago
11

You have 324 ft^2 of fabric to make a circular play parachute for kids. What is the radius of the largest parachute you can make

? Round to the nearest tenth of a foot.
Mathematics
1 answer:
alina1380 [7]3 years ago
5 0
Area of a circular play parachute:
A = 324 ft²
A =  r² π
r² π = 324
r² = 324 : 3.14
r² = 103.1874
r = √103.1874
r = 10.157987 ≈ 10.2 ft
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enyata [817]

Answer:

Part 1) Option C. 57.1%

Part 2) Option B. 70.9%

Part 3) Option C. 66 2/3 %

Part 4) Option A. About 16

Part 5) Option A. About $12

Part 6) Option B. About $9

Part 7) Option B. x/50=70/100

Part 8) Option B. 25%

Part 9) Option D. 800

Part 10) $1,770

Step-by-step explanation:

Part 1) Rename 4/7 as a percent

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To rename a number as a percent, multiply the number by 100

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(4/7)*100=400/7=57.1%

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0.709*100=70.9%

Part 3) If 1/3 is equivalent to 33 1/3% what percent is equivalent to 2/3?

we know that

33 1/3%=(33*3+1)/3 %=100/3 %

By proportion

(100/3 %)/(1/3)=x/(2/3)

x=200/3 %=66 2/3 %

Part 4) Alice plays basketball. In one game she shoots 21 free throws and makes 81.25% of them. Estimate how many she makes

To find the exact value multiply the total shoots by the percentage

21*(81.25/100)=17.06

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<em>To find the estimate value</em>

21 shoots is about 20

81.25% is about 80%

so

20*(80/100)=16

the answer is about 16

Part 5) Estimate 48% of 23.95

To find the exact value multiply the number by the percentage

23.95*(48/100)=11.50

<em>To find the estimate value</em>

23.95 is about 24

48% is about 50%

so

24*(50/100)=12

Part 6) The bill at a restraint is $58.50 and Mrs. Johnson wants to leave a 15% tip. Approximately how much money

To find the exact value multiply the bill by the percentage

so

$58.50*(15/100)=$8.78

<em>To find the approximate value</em>

$58.50 is about $60

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Part 7) Which proportion can be used to solve the following percent problem? What is 50% if 100% is 70?

using proportion

x/50=70/100

x=70*50/100

x=35

Part 8) What percent of 50 is 12.5?

using proportion

50/100%=12.5/x%

x=100*12.5/50

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Part 9) 50 Is 6.25% of what number?

using proportion

50/6.25%=x/100%

x=100*50/6.25

x=800

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$59,000 ------> represent the 100%

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Find how much money represent 3% of the commission

59,000/100%=x/3%

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X=$59,000*(3/100)=$1,770

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