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Natalija [7]
3 years ago
5

Why does sin30° equal 1/2?

Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Step-by-step explanation:

it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2

Dmitriy789 [7]3 years ago
6 0

Step-by-step explanation:

Take an equilateral triangle of side.

Bisec it through a vertex and the midpoint of the opposite side.

You now have two right-angled triangles with angels 30° , 60°, 90° with the edge opposite the 30° of length 1/2 and hypotenuse 1. So

sin (30°) = 1/2/1= 1/2.

<u>Answer</u><u>:</u><u> </u><u> </u>The right angled triangle you describe has angels of 45 degrees, not 30 degrees.

What you proved is sin 45 = 1\2 , which is correct.

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A. 90 degrees<br><br> B. 45 degrees<br><br> C. 30 degrees <br><br> D. 120 degrees
Maru [420]

For this case we have by definition, that each of the four internal angles of a square measure 90 degrees.

If we draw the diagonals of the square then the angles are divided by two, that is:

\frac {90} {2} = 45

Thus, angle 3 measures 45 degrees.

A3 = 45

By definition, the sum of the internal angles of a triangle is 180 degrees.

So:

A2 + A3 + 90 = 180\\A2 = 180-90-A3\\A2 = 180-90-45\\A2 = 45

Thus, angle 2 measures 45 degrees.

Answer:

45 degrees

6 0
4 years ago
5/6 minus what equals 1/3
irinina [24]

Answer:

3/6 = 1/2

Step-by-step explanation:

Important: 1/3 = 2/6

5/6-?=1/3

5/6-?=2/6

3/6=?

6 0
4 years ago
Read 2 more answers
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Setler [38]

Answer:

Angle X = 73 degrees, Angle Z = 34 degrees, and Angle Y = 146 degrees

3 0
3 years ago
What is the sum of the rational expression below 3x/x+9 + x/x-4
fredd [130]
The answer to the question

6 0
4 years ago
A 3-dimensional shape is made of 36 unit cubes, without any gaps. What is the volume of the shape?
fomenos

Answer:

36 unit

Step-by-step explanation:

The number of unit cubes in the shape = 36 unit cubes

The dimension (volume) of each cubes = 1 unit³

The type of shape = 3-dimensional

The arrangement of the cubes in the shape = Without gaps

The volume of a 3-dimensional shape made of a number of unit cubes without gaps is equal to the sum of the unit cubes

Therefore;

The volume of the 3-dimensional shape that consists of 36 unit cube, V = (1 + 1 + 1 +...+ 1) unit³ = 36 unit³

The volume of the 3-dimensional shap³e, V = 36 unit³

7 0
3 years ago
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