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kramer
3 years ago
9

If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is

Mathematics
1 answer:
klasskru [66]3 years ago
7 0

9514 1404 393

Answer:

  • largest: 1024 m²
  • smallest: 0 m²

Step-by-step explanation:

The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.

The largest enclosed area is (32 m)² = 1024 m².

__

The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.

The smallest enclosed area is (64 m)(0 m) = 0 m².

_____

"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².

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Evaluate functions <br> g(0)=-x-2
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Answer:

g(0) = -2

Step-by-step explanation:

g(x) = -x - 2

To find g(0), replace x with 0 in the equation.

g(0) = -0 - 2 = -2

6 0
3 years ago
Part A: The Sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 3
Nuetrik [128]

5914 1404 393

Answer:

  A) 1.3×10^37 ergs

  B) 1.435×10^3 mm

Step-by-step explanation:

A) The amount of energy will be the product of the energy rate and time:

  (3.9×10^33 ergs/s)×(3.25×10^3 s) =12.675×10^(33+3) ergs

  = 1.2675×10^(1+36) ergs

  = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs

The mantissa of the result is the product 3.9×3.25, adjusted to have one digit left of the decimal point. The exponent of the result is the sum of the exponents of the factors, adjusted by 1 to match the adjustment in the mantissa.

The final value should be rounded to 2 significant figures, reflecting the precision of the sun's energy production.

__

B) A millimeter is a small fraction of an inch. 10^-3 mm is a small fraction of the width of a human hair, so 1.435×10^-3 mm is not a reasonable estimate of the distance between railroad tracks.

On the other hand, 1.435×10^3 mm is 1.435 m, almost 56.5 inches. This is a much more reasonable measurement of the distance between railroad rails.

  1.435×10^3 mm is more reasonable

8 0
3 years ago
If all pairs of consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram.
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This is true.

It comes from the same side interior angles theorem which says that same side interior angles are supplementary, only if the lines are parallel. 
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nindy thousand five hundred and twenty three. Hope this helps!

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