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Alex_Xolod [135]
2 years ago
15

In the triangle above, what is sin A

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:

\large\boxed{\sf sin(A)=0.5}

Step-by-step explanation:

A right angled triangle is given to us and we would like to find out the value of sin(A) .

From the triangle we can see that the measure of angle BAC is 30° . Therefore ,

\longrightarrow A = 30^o

On using sin both sides ,

\longrightarrow sin(A) = sin30^o

As we know that the value of sin30° = 1/2. So;

\longrightarrow sin(A)=\dfrac{1}{2}

Simplify by converting it into decimal ,

\longrightarrow \underline{\underline{sin(A) = 0.5}}

<u>Hence</u><u> </u><u>option</u><u> </u><u>B</u><u> </u><u>is</u><u> </u><u>correct</u><u> </u><u>.</u>

And we are done!

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Find the horizontal distance between points C(3.5, −0.25) and D(0.5, −0.25).
ANEK [815]

Answer:

3 units

Step-by-step explanation:

Since the y-coordinate is the same. Therefore, there is a straight horizontal line between the two points. So, again, since the y-coordinates are the same, we can subtract C(x) (the x-coordinate for point C) from D(x) (the x-coordinate for point C)

C(x) = 3.5

D(x) = 0.5

3.5 - 0.5 = 3

Therefore, the distance between the two points is 3 units

7 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 12 centered at the origin.
andreev551 [17]

Answer:

The vertices of image are (-48,48), (24,24) and (72,96).

Step-by-step explanation:

From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).

The scale factor is 12 and the dilation is about the origin.

If a figure is dilated about the origin with scale factor k, then

(x,y)\rightarrow (kx,ky)

Since the scale factor is 12.

(x,y)\rightarrow (12x,12y)

The vertices of image are

(-4,4)\rightarrow (-48,48)

(2,2)\rightarrow (24,24)

(6,8)\rightarrow (72,96)

Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.

5 0
3 years ago
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Solve for d.<br> 41 = 12.7<br> d<br> d=
Alex Ar [27]

Answer:

d =  3.22834645

 

6 0
3 years ago
Help me please im beggingggg
icang [17]

Answer: <u>96</u> sq ft.

Step-by-step explanation:

      First, we will find the area of the rectangular sides. Since the triangle is an equilateral triangle, all the rectangles will be the same size.

             A = L * W

             A = (10 ft) * (3 ft)

             A = 30 ft²

             30 ft² * 3 = 90 ft²

      Next, we will find the area of the two triangles.

             A = \frac{b*h}{2}

             A = \frac{3*2}{2}=\frac{6}{2} =3

             3 ft + 3 ft = 6 ft²

      Lastly, we will add them together for the total surface area.

90 ft² + 6 ft² = 96 ft²

4 0
2 years ago
The price of a video game was reduced from $70.00 to $40.00. By what percentage was the price of the video game reduced? Justify
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