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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The common form of exponential function is y = xᵃ where x is the variable and a is raised to a specific number. From this, the graph would on the value of a. An example would be when there are 70000 bacteria
present in a culture and reduced by half every four hours, the number of
bacteria will decrease. The bacteria will experience an exponential decay
because it decreases its number at a constant decay.
Answer:
No, David's answer does not seem reasonable.
Let x= original purchase amount
25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.
If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.
Step-by-step explanation:
Answer:
11x +9
Step-by-step explanation:
Add the two expressions together to get the total number of ice creams sold
8x+16 + 3x-7
Combine like terms
8x+3x + 16 -7
11x +9
Use a calculator and divide
