The complete fractional question given in the above picture is 55/3 = 1 + 52/3 = 2 + 49/3 = 5 + 40/3 = 8 + 31/3 = 10 + 25/3
<h3>Fraction</h3>
Let
55/3 = 1 + x/3
55/3 = (3+x) / 3
55/3 × 3 = 3 + x
55 = 3 + x
55 - 3 = x
52 = x
55/3 = 2 + x/3
55/3 =(6+x) / 3
55/3 × 3 = 6+x
55 = 6 + x
55 - 6 = x
49 = x
55/3 = x + 40/3
55/3 = (3x+40) / 3
55/3 × 3 = 3x + 40
55 = 3x + 40
55 - 40 = 3x
15 = 3x
x = 15/3
x = 5
55/3 = x + 31/3
55/3 = (3x+31) / 3
55/3 × 3 = 3x + 31
55 = 3x + 31
55 - 31 = 3x
24 = 3x
x = 24/3
x = 8
55/3 = 10 + x/3
55/3 = (30+x) / 3
55/3 × 3 = 30 + x
55 = 30 + x
55 - 30 = x
25 = x
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5 ≤ 2x+1 ≤ 7
Do not write the line underneath the greater than sign, it was the only sign available
x = 2.5
The zeros is another name for solutions.
x^2 - 5x - 1 = 0
You must use the quadratic formula to find x.
In the formula, a = 1, b = -5 and c = -1.
Plug into formula and solve for x.
The values of x are the zeros of the function.
Divide
7/12 = <span>.583
We get answer: </span><span>D. .583</span>
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
1) Angle 5π / 3 radians:
Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.
2) Angle 5π / 6 radians:
Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.
3) Conclusion:
Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
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