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kolbaska11 [484]
3 years ago
6

In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14

for π and round your final answer to the nearest hundredth.
Mathematics
1 answer:
Romashka [77]3 years ago
4 0
The arc length will be found using the formula:
C=θ/360πd
θ=2/7π=2/7*180=51 3/7°
d=2r=2×3635=7270 cm
hence the arc length will be:
C=(51 3/7)/360×π×7270
C=(1038+4/7)π cm
C=3,262.78 cm (to the nearest hundreth)

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Hope this helps : )
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Answer:

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Step-by-step explanation:

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Samuel and Christopher go to the movie theater and purchase refreshments for their friends. Samuel spends a total of $34.00 on 6
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Answer:

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

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Step-by-step explanation:

Assume that the price of one bag of popcorn is $p and the price of a drink is $d

∵ Samuel spends a total of $34 on 6 bags of popcorn and

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- Multiply p by 6 and d by 4, then add the products and equate

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∴ 6 p + 4 d = 34 ⇒ (1)

∵ Christopher spends a total of $66.25 on 12 bags of popcorn

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- Multiply p by 12 and d by 7, then add the products and equate

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∴ 12 p + 7 d = 66.25 ⇒ (2)

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

Now let us solve it

Multiply equation (1) by -2 to make the coefficients of p in the two equations equal in values and opposite in signs to eliminate it

∵ -12 p - 8 d = - 68 ⇒ (3)

- Add equations (2) and (3)

∴ - d = - 1.75

- Divide both sides by -1

∴ d = 1.75

The price of a drink is $1.75

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