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Leona [35]
2 years ago
15

4. What are the values of the variables in the triangle below? If your answer is not an integer, leave

Mathematics
1 answer:
pentagon [3]2 years ago
7 0

Using relations in a right triangle, it is found that the values of the variables in the triangle below are given by:

x = 18, y = 6\sqrt{3}

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the hypotenuse is of 12\sqrt{3}, while the opposite angle to side y is of 30º, hence:

\sin{30^\circ} = \frac{y}{12\sqrt{3}}

\frac{1}{2} = \frac{y}{12\sqrt{3}}

y = 6\sqrt{3}

The adjacent side to the angle of 30º is of x, hence:

\cos{30^\circ} = \frac{x}{12\sqrt{3}}

\frac{\sqrt{3}}{2} = \frac{x}{12\sqrt{3}}

2x = 36

x = 18

More can be learned about relations in a right triangle at brainly.com/question/26396675

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B is the answer on ingenuity
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A circle has a diameter of 42 mm. What is the circumference of this circle? (use 22/7 for pi; show your work in numbers)
stellarik [79]

Answer:

132

Step-by-step explanation:

Find Radius (r)

42/2 = 21

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8 0
3 years ago
Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?
pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.                

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

24^2 + 32^2\\=576 + 1024\\=1600\\=40^2

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0
3 years ago
Read 2 more answers
Whats 3/2 divided by 8/3 in fraction form
vlada-n [284]

Answer:

9/16

Step-by-step explanation:

3/2 / 8/3 =

3/2 x 3/8 = 9/16

Hope that helps!

8 0
3 years ago
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