Option A. The angles do not have the same reference angle.
Explanation:
1) <u>Angle 5π / 3 radians:</u>
- 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) <u>Angle 5π / 6 radians:</u>
- 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) <u>Conclusion</u>:
- 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.
I think you forgot the graph. Please add it.
To solve this, you need to isolate/get the variable "a" by itself in the equation:
-8a + 32 = 72 Subtract 32 on both sides
-8a + 32 - 32 = 72 - 32
-8a = 40 Divide -8 on both sides to get "a" by itself
a = -5
PROOF
-8a + 32 = 72 Substitute/plug in -5 into "a" since a = -5
-8(-5) + 32 = 72 (two negative signs cancel each other out and become positive)
40 + 32 = 72
72 = 72
Answer:
a
Step-by-step explanation:
