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adell [148]
3 years ago
5

Question 1 options:

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

\frac{-1+/-3\sqrt{2} }{2}  where a = 1, b = 1,and c=-4

Step-by-step explanation:

To solve, use the quadratic formula. Using the quadratic formula, requires the standard form ax^2+bx+c Here a = 1, b = 1, and c = -4.

The quadratic formula is x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}.

Substitute and you'll have:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-1+/-\sqrt{1^2-4(1)(-4)} }{2(1)}=\frac{-1+/-\sqrt{1+17} }{2)}

\frac{-1+/-\sqrt{18} }{2}=\frac{-1+/-3\sqrt{2} }{2}

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A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian
djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

  • c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

  • 5² + 12²
  • 25 + 144 = 169
  • √169  = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

  • tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
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learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

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Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​ width, the lower class​ limits,
Gennadij [26K]

Using proportions and the information given, it is found that:

  • The class width is of 14.375.
  • The lower class limits are: {19, 33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625}.
  • The upper class limits are: {33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625, 134}.

-------------------------

  • Minimum value is 19.
  • Maximum value is of 134.
  • There are 8 classes.
  • The classes are all of equal width, thus the width is of:

W = \frac{134 - 19}{8} = 14.375

-------------------------

The intervals will be of:

19 - 33.375

33.375 - 47.750

47.750 - 62.125

62.125 - 76.500

76.500 - 90.875

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105.250 - 119.625

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A similar problem is given at brainly.com/question/16631975

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