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Misha Larkins [42]
1 year ago
7

A center pivot irrigation system provides water to a sector shaped field, find the area of the field if 0=140 degrees and r= 40

yd
Mathematics
1 answer:
Anastasy [175]1 year ago
4 0

The area of the sector is approximately 1954.77 square yards.

A circular sector, also known as a circle sector or a disc sector (symbol:), is a piece of a disc (a closed region bordered by a circle) encompassed by two radii and an arc. The smaller area is known as the minor sector, and the bigger is known as the major sector.

Any point on the circle outside of the sector can be connected to the arc's endpoints to produce half of the central angle.

We know that the area of a circle is πr² and the area of the sector of a circle with angle θ is given by θ/360 πr² .

Area of the sector

= 140°/360°  × π × 40²

= 1954.7687... square yards.

≈ 1954.77 square yards.

Therefore the area of the sector is approximately 1452.113 square yards.

To learn more about sector visit:

brainly.com/question/16989821

#SPJ1

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Evaluate the expression and enter the answer as a fraction in lowest terms, using the slash (/) for the fraction bar.
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Answer:

5/21

Step-by-step explanation:

Change division sign to multiplication and flip second fraction upside down

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8 0
2 years ago
Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
CaHeK987 [17]

Answer:

$100  

Step-by-step explanation:    

Let C be the cost for 150 minutes of play time.

We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.  

\frac{\text{Cost of 30 minutes of play time}}{\text{30 minutes}}=\frac{\text{Cost of 150 minutes of play time}}{\text{150 minutes}}

Upon substituting the given value we will get,

\frac{20}{30}=\frac{C}{150}

Upon cross multiplying our equation we will get,

30C=150\times 20

Upon dividing both sides of equation by 30 we will get,

\frac{30C}{30}=\frac{150\times 20}{30}

C=\frac{150\times 20}{30}

C=5\times 20

C=100

Therefore, Quinn need $100 to pay for 150 minutes of play time.


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3 years ago
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Answer:

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