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2 years ago

Find 6 rational numbers between - 1/2 and 7/8

Mathematics

1 answer:

Andru [333]2 years ago

4 0

The rational numbers between -1/2 and 7/8 are: -3/8, -2/8, -1/8, 1/8, 2/8, 3/8, and 4/8.

<h3>What is a Rational Number?</h3>

A rational number can be defined as a number that can be written as p/q, where p is the numerator and q is the denominator that must be a non-zero number.

Let's find the rational numbers between -1/2 and 7/8 as shown below:

The LCM of the denominators, 2 and 8 is 8. Thus:

-1 × 4/2 × 4 = -4/8

Since the denominators are the same, find 6 numbers between -4 and 8. They are: -3, -2, -1, 1, 2, 3, 4.

Therefore, the rational numbers between -1/2 and 7/8 are: -3/8, -2/8, -1/8, 1/8, 2/8, 3/8, and 4/8.

Learn more about rational numbers on:

brainly.com/question/12088221

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You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surroun

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<h3>Given</h3>

A regular polygon with area 500 ft² and apothem 10 ft

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<h3>Solution</h3>

You don't want to think too much about this, because if you do, you find the regular polygon has 3.087 sides. The closest approximation, an equilateral triangle, will have an area of 519.6 ft² for an apothem of 10 ft.

For similar shapes of scale factor "s", the larger shape will have an area of s² times that of the smaller one. Here, it appears the area scale factor s² is 60, so the linear scale factor is

... s² = 60

... s = √60 ≈ 7.7460

The perimeter fence of the 500 ft² area is presumed to be 100 ft long (twice the area of the polygon divided by the apothem—found in Part I), so the perimeter fence of the industrial farm is ...

... (100 ft)×7.7460 = 774.60 ft

and the cost to construct it is

... ($7.95/ft)×(774.60 ft) ≈ $6158

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<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the function was shifted one unit right, hence the rule for the translated function is given by:

(x,y) -> (x + 1, y).

The y-intercept is given by f(0), hence for the shifted function it will be f(-1). We have that f(x) is an odd function and f(1) = 3, hence f(-1) = -f(1) = -3.

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1 year ago

Find 6 rational numbers between - 1/2 and 7/8​

Find 6 rational numbers between - 1/2 and 7/8