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mylen [45]
3 years ago
7

Determine the shaded areas part 2​

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

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Step-by-step explanation:

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x -2y = 4                                      - 3x + 6y = 12

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One month,ruby worked 6 hours more than Isaac, and Svetlana worked 4 times as many hours as ruby. Together they worked 126 hours
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<span>The total number of hours worked between Ruby, Isaac, and Svetlana, hard-working friends with great names, is 126 and is equal to r + i + s. 126 = r + i + s. The relationships between Svetlana and Ruby's hours can be written as s = 4r. The relationship between Ruby and Isaac's hours can be written as r = i + 6, or i = r - 6. With these equations, we can return to the original equation and substitute for/ replace Svetlana and Isaac's hours so that the whole equation is in terms of r: 126 = (r) + (r-6) + (4r). Simplify this to 126 = 6r - 6 and then again to 132 = 6r and then at last to 22 = r, the number of hours that Ruby worked. Now returning to the other equations, we can plug in that r value to solve for i -- i = 22 - 6, or 16 hours for Isaac -- and for s -- s = 4(22), or a whopping 88 hours for Svetlana. We conclude that Isaac worked for 16 hours, Ruby worked for 22 hours, and Svetlana worked for 88 hours. 88 + 22 + 16 = 126 hours.</span>
6 0
3 years ago
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