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Alexandra [31]
2 years ago
15

Choose the lowest common denominator.

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
4 0

1) 8

2) -\frac{3}{4}=-\frac{6}{8}, so it is equal to -\frac{6}{8}+\frac{5}{8}

3) 1/8

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Since the three angles of a triangle add to give 180°

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- 1 1/2 +3 1/2 - 5/8
Irina18 [472]

Answer:

1 3/8

Step-by-step explanation:

Step by step explanation is below. See attachment :)

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PLEASE HELP!!!!!!!!!!!!!!
Alex17521 [72]

Answer:

angle = 50.8° (to the nearest tenth of a degree)

Step-by-step explanation:

In a right triangle:

  • The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.
  • The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.

We have been given the measures of the <u>shorter leg</u> and the <u>hypotenuse</u>, so the angle between them is the <u>larger acute angle</u> (which we need to find).

shorter leg = 3√6 cm

hypotenuse = 3√15 cm

So to find the angle, we need to use the trig ratio: cos(\theta)=\frac{adjacent}{hypotenuse}

If \theta is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.

Substituting the given values:

cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }

⇒ \theta=arccos(\frac{3\sqrt{6} }{3\sqrt{15} })=50.76847952..

Therefore, the angle = 50.8° (to the nearest tenth of a degree)

3 0
3 years ago
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