Solve the equation 2sin(x) + 1 = 0. if 180° ≤ x ≤ 270°, then x = ° if 270° ≤ x ≤ 360°, then x = ° explain the answer to this question? will give brainliest,

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°.

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Comment  on the diagram

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°.

Comment on calculator solutions

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°.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

he earned 78.75 in interest.

step-by-step explanation: