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lana [24]
3 years ago
7

A circle has a sector with area 27\pi27π27, pi and central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, e

nd color #9d38bd. What is the area of the circle?
Mathematics
2 answers:
Korolek [52]3 years ago
5 0

Answer:

The answer: 81π

expeople1 [14]3 years ago
3 0

Answer:

The radius of the circle is 9 units.

Step-by-step explanation:

To calculate the area of the circle we need to find it's radius, since we have the area of the sector and it's angle, therefore we can calculate the radius by using the following formula:

sector area = (central angle)*pi*r²/360

27pi = 120*pi*r²/360

27pi = pi*r²/3

27 = r²/3

r² = 81

r = sqrt(81) = 9

The radius of the circle is 9 units.

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Convert 12 1/2% into a decimal (It isn't 12.50)<br>Convert 12 1/2% into a fraction (It isn't 25/2)
Hoochie [10]

Answer:

0.125 and 1/8

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100 to move 2 decimal places to the left.

12.50% / 100 = 0.125

To convert a percentage into a fraction, rewrite the decimal number you got and put it over 1. Multiply the numerator and denominator by 1000 to move 3 decimal places to the right and get your fraction.

\frac{0.125}{1} · \frac{1000}{1000} = 125/1000

Divide the numerator and denominator by the GCF, 125, to get your simplified fraction.

125/125 = 1

1000/125 = 8

125/1000 = 1/8

6 0
3 years ago
YALL I NEED HELP ASAP!!
Elodia [21]

Answer:

32

Step-by-step explanation:

You use angle chasing. Since a triangle's angle has to add up to 180, the other angle is 180-79-69. This gives 32. So angle E is 32 degrees. Since they are parallel, that means that E equals to D. That means that D is 32, so 32 is now the answer.

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3 0
3 years ago
Which is the best estimate for the area of the circle shown below?
Elza [17]

Answer:

c) 380 m²

Step-by-step explanation:

A = π·r²

= 3.14×121

= 379.94

≈ 380 m²

3 0
3 years ago
Read 2 more answers
Which math subject is the hardest
lesya [120]

Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.

6 0
2 years ago
At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin
Mariana [72]
Firstly, we need to know the price of the TV after the 110$ increase.
     $165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
     $181.50 x 0.065 = $11.79
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The final cost of the TV is $193.29
4 0
3 years ago
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