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.
If correct please give brainliest
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Answer:
For the question on the right, I assume b is the exponential factor, or growth factor.
Step-by-step explanation:
Linear:
You can find the equation by using two points and the equation for a line.
Exponential:
The answer to your question is
0.176470588
Answer:
dark brown and white
Step-by-step explanation:
Answer:
<em>For 10 visits, both gyms charge the same</em>
Step-by-step explanation:
<u>Equations</u>
Gym memberships' costs are:
G1 = 100 + 2x
G2 = 12x
Where x is the number of visits to the gym.
We need to find the number of visits for which the charges for both gyms are the same. Thus equating the costs:
12x = 100 + 2x
Subtracting 2x:
10x = 100
Dividing by 10:
x =10
For 10 visits, both gyms charge the same
