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Mademuasel [1]
3 years ago
6

What do you multiply to get 201.25 and add to get 58

Mathematics
1 answer:
Ahat [919]3 years ago
7 0

9514 1404 393

Answer:

  • 29 +√639.75
  • 29 -√639.75

Step-by-step explanation:

If we let x represent one of the numbers, then you want ...

  x(58 -x) = 201.25

  x² -58x +201.25 = 0 . . . . . put in standard form

  (x² -58x +29²) +201.25 -29² = 0 . . . . complete the square

  (x -29)² -639.75 = 0

  x -29 = ±√639.75 . . . . . add 639.75 and take the square root

  x = 29 ±√639.75 . . . . . . add 29

The two numbers of interest are ...

  29 +√639.75 ≈ 54.2933

  29 -√639.75 ≈ 3.7067

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An oval track is made by erecting semicircles on each end of a 44 m by 88 m rectangle. Find the length of the track and the area
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Answer:

The length of the track is 247 m.

The area enclosed by the track is  5391 . 76 sq m.

Step-by-step explanation:

The length of the rectangle  = 88 m

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Now, as we know the semicircles are at the end of rectangular track.

So, the diameter of semicircles = Width of the rectangle

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= 176 m + 2 (3.14)(22 m)  = 176 + 71.08 =  247 m

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= (Area of rectangle)  + 2 (Area of 1 semicircle)

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=  (44  m x 88 m) +  (3.14)(22 m)(22 m)   = (3872  + 1519.76) sq m

=  5391 . 76 sq m

Hence, the area enclosed by the track is  5391 . 76 sq m.

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