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Alexus [3.1K]
2 years ago
15

A square with diagonals is shown. the distance from one point to the middle point is x. the length from the center point to anot

her point is x. the length of a side is 8. the figure is a square. its diagonals meet to form four right angles. what is the approximate value of x? 2.8 units 3.3 units 4.0 units 5.7 units
Mathematics
2 answers:
Rina8888 [55]2 years ago
6 0

The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units

<h3>Properties of a square.</h3>
  • All the sides are equal.
  • Opposite sides are parallel to each other.
  • The diagonal intersects at right angle.

Using Pythagoras theorem the value of x can be found as follows:

c² = a² + b²

where

  • c = hypotenuse
  • a and b are other legs

Therefore,

8² = x² + x²

64 = 2x²

x² = 64 / 2

x = √32

x = 5.65685424949

x = 5.7 units

learn more on square here:brainly.com/question/12338379

#SPJ4

Luden [163]2 years ago
6 0

Answer: 5.7 units

Step-by-step explanation:

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Step-by-step explanation:

According to 68–95–99.7 rule , About  99.7% of all data values lies with in 3 standard deviations from population mean (\mu).

Here , margin of error = 3s , where s is standard deviation.

As per given , we have want our sample mean \overline{x} to estimate μ μ with an error of no more than 1.4 point in either direction.

If 99.7% of all samples give an \overline{x} within 1.4 , it means that

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Divide boths ides by 3 , we get

s=0.466666666667\approx0.4667

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Using proportions, it is found that it takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

10 mini-bears weights to 12.1 grams, hence the weight of a mini-bear is of:

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10 regular bears weights to 23.1 grams, hence the weight of a regular bear is of:

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The proportion between the <u>weight of a super bear and the weight of a regular bear</u> is:

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The difference of proportions is given by:

1860 - 974 = 886.

It takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.

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