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2 years ago

In the triangle below, what is the side opposite the 30 degree angle

Mathematics

1 answer:

Afina-wow [57]2 years ago

4 0

$tan(30^o)= \frac{opposite }{adjacent} \ \ \ \ \to \\ \\ opposite = adjacent*tan(30^o)=3* \frac{ \sqrt{3} }{3} = \sqrt{3}$

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PLEASE ANSWER ASAP!!!!

Arlecino [84]

We'll use the notation $\textrm{Arcsin } x$ for the principal value and $\arcsin x$ for all the values:

$\arcsin x = \textrm{Arcsin } x + 2\pi k \textrm{ or } (\pi - \textrm{Arcsin }x) + 2\pi k \quad \textrm{ integer } k$

Part I

$\sin(\theta/2) = \frac 1 2$

$\theta/2 = \arcsin \frac 1 2$

Part II. In our range we can write

$\sin(\theta/2) = \sin(\frac \pi 6)$

$\theta/2 = \frac \pi 6 \textrm{ or } \theta /2 = \pi - \frac \pi 6 = \frac{5\pi}{6}$

Part III.

$\theta = \frac \pi 3 \textrm{ or } \theta = \frac{5\pi}{3}$

Part IV.

$\theta/2 = \frac \pi 6 + 2\pi k \textrm{ or } \theta = \frac{5 \pi}{6} + 2\pi k \quad \textrm{integer } k$

$\theta = \frac \pi 3 + 4 \pi k \textrm{ or } \theta = \frac{5 \pi}{3} + 4\pi k \quad \textrm{integer } k$

5 0

2 years ago

Help please need those answers

icang [17]

We know: The sum of the measures of the angles of a triangle is equal 180°.

We have: m∠A =65°, m∠B = (3x - 10)° and m∠C = (2x)°.

The equation:

65 + (3x - 10) + 2x = 180

(3x + 2x) + (65 - 10) = 180

5x + 55 = 180 <em>subtract 55 from both sides</em>

5x = 125 <em>divide both sides by 5</em>

x = 25

m∠B = (3x - 10)° → m∠B = (3 · 25 - 10)° = (75 - 10)° = 65°

m∠C = (2x)° → m∠C = (2 · 25)° = 50°

<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>

8 0

3 years ago

Please help it would be nice

Shtirlitz [24]

Answer:

Step-by-step explanation:

Soooo,

d = 2r

(29) = 2r

29/2 = 2r/2

14.5 = r

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2 years ago

Bonjour, vous pouvez m'aider pour mon devoir de maths Quelle la valeur exacte de la longueur d'un cercle de rayon 7 m

strojnjashka [21]

Answer:

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Step-by-step explanation:

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3 years ago

Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big en

Simora [160]

Answer:

Step-by-step explanation:

First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.

Second Question: No the size does not influence the size of the interior angle.

Third Question: That's true for all polygons. Size is not affect the interior angle size.

6 0

2 years ago