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EleoNora [17]
3 years ago
9

a rectangle with a perimeter of 32 inches has whole-number side lengths. what is the difference between the greatest and the lea

st areas of the rectangle?
Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

49

Step-by-step explanation:

Let x represent the length and y represent the width of the given rectangle. The perimeter of the rectangle will be:

Perimeter = 2(x + y)

32 = 2(x + y)

16= x + y

This means, the sum of length and width of the rectangle can be 16. Since only whole number side lengths are allowed, following are the possibilities:

  • Side Lengths: 15, 1            Area = 15
  • Side Lengths: 14, 2           Area = 28
  • Side Lengths: 13, 3           Area = 39
  • Side Lengths: 12, 4           Area = 48
  • Side Lengths: 11, 5            Area = 55
  • Side Lengths: 10, 6           Area = 60
  • Side Lengths: 9, 7            Area = 63
  • Side Lengths: 8, 8            Area = 64

Hence the largest possible value of Area is 64 and the least possible value is 15. The difference is 64 - 15 = 49

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Step-by-step explanation:

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3 years ago
While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters
Pachacha [2.7K]

An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.

<h3>What is an elevation?</h3>

An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.

This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

  • Less than (<).
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For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:

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In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.

Read more on inequality here: brainly.com/question/6666926

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5 0
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6.5%  =  0.065

1/3 of that is 0.02167 .

(0.02167) x (7,000) =  151.67
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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