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larisa86 [58]
3 years ago
8

Can someone help me?

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

C. -36 3/10

Step-by-step explanation:

4 2/5 = 22/5

22/5 = 4.4

4.4(-8.25)

-36.3 = -36 3/10

Have a great day :3

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3 0
3 years ago
Solve the equation 2sin(x) + 1 = 0.
solong [7]

Answer:

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Step-by-step explanation:

The equation can be rearranged by subtracting 1, then dividing by 2. Doing so gives you ...

... sin(x) = -1/2

The sine of an angle is the y-coordinate of the point where its terminal ray intersects the unit circle. A horizontal line at y=-1/2 intersects the unit circle in two places. (Refer to the attached diagram.) In each case, the reference angle (the smallest angle made with the x-axis) is 30°.

Conventionally, we measure angles counterclockwise from the +x axis, so the 3rd-quadrant angle (between 180° and 270°) will be 180°+30° = 210°.

The 4th-quadrant angle (between 270° and 360°) will be 360°-30° = 330°.

_____

<em>Comment  on the diagram</em>

The geometry program used to create the figure decided to show the angles measured clockwise. To get the answers you want, you need to subtract the angles shown from 360°.

<em>Comment on calculator solutions</em>

If you use a calculator (in degrees mode) to find the angle whose sine is -1/2, it will tell you sin⁻¹(-0.5) is -30°. This means the angle is 30° measured clockwise from the +x axis. Of course, the value you want in that quadrant is 360°-30° = 330°. You have to understand that the third quadrant angle can be found by adding the reference angle (30°) to 180°.

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4 years ago
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