Answer: x=4
Step-by-step explanation: 0.75x+3=6(x−3)
0.75x+3=(6)(x)+(6)(−3)
0.75x+3=6x+−18
0.75x+3=6x−18
0.75x+3−6x=6x−18−6x
−5.25x+3−3=−18−3
−5.25x
/−5.25
=−
21
/−5.25
x=4
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Quick answer Sin(570) = - 1/2
Comment
570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.
Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.
What is 570° (∅) degrees equivalent to?
We keep on subtracting 360 until we get a number between 0 and 360 inclusive.
Written this way 0 ≤∅≤360
570 - 360 = 210°
So we need to find the equivalent of 210°
Method
210° = 180° + 30°
This means that ∅ is 30° below the x axis in the 3rd quadrant.
Sin(30) = 1/2
In the third quadrant, the sine is minus. so
sin(210°) = - 1/2 <<<<<<< Answer
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