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Yakvenalex [24]
3 years ago
11

The sides of a square field are 12 meters.A sprinkler in the center of the field sprays a circular are with a diameter that corr

esponds to a side of the field.How much of the field is NOT reached by the sprinkler?
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

Step-by-step explanation:

The formula for determining the area of a square is expressed as

Area = L²

Where

L represents length of each side of the square.

The side of the square is field us 12 meters long. Therefore

Area of the square field = 12² = 144ft²

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents radius if the circle.

π is a constant whose value is 3.14

Diameter of the circular area covered by the sprinkler is 12 meters.

Radius = 12/2 = 6 meters.

Area of the field covered by the sprinkler would be

Area = 3.14 × 6² = 113.04ft²

Therefore, the area of the field that is NOT reached by the sprinkler would be

144 - 113.04 = 30.96ft²

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melamori03 [73]

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

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x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

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Therefore, number of coolers produced when the cost is $19

is 66 coolers

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Step-by-step explanation:

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