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Ymorist [56]
3 years ago
10

A circle has a radius of 3. An arc in this circle has a central angle of 20°

Mathematics
1 answer:
Alla [95]3 years ago
4 0

Answer:

The length of the arc is 1.0467

Step-by-step explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360​​° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

1/18 * 18.84 = 1.0467

The length of the arc is 1.0467

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Answer:

$1.25

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Step-by-step explanation:

Let's take this a step a time.

First we need to find how much the price of the flowers were in September.

We know that each flower cost $1.50 on October.

The October price was a 20% increase of the September price.

To calculate for the price of the flowers on September, we can solve it like this:

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We used 1.2 because the price of $1.50 is 120% of the original price.

Now we divide both sides by 1.2 to find x.

\dfrac{1.2x}{1.2}=\dfrac{1.5}{1.2}

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The price of the flowers during September was $1.25 each.

Now the 7th grade class earned 40% of the selling price of each flower.

40% = 0.40

To find how much they made on each month, we simply multiply the percentage to the price and the number of flowers sold.

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The 7th Graders earned more on September.

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