3504
Sig Figs
4
Decimals
0
Scientific Notation
3.504 × 103
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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Given:
A deep sea diver started at sea level (0 feet).
Rate of diving = 5.6 feet per minute.
Time =
hour
To find:
The rational number that represents his position relative to sea level.
Solution:
We know that,
1 hour = 60 minutes
hour = 30 minutes
A deep sea diver, dove at a rate of 5.6 feet per minute.
Distance covered in 1 minute = 5.6 feet
Distance covered in 30 minute = 30 × 5.6 feet
= 168 feet
The diver dove 168 feet in
hour. Since it is below the sea level, therefore it should be negative.
So, the rational number that represents his position relative to sea level is
feet.
Therefore, the correct option is D.
Answer:
¹/10 and ¹/9 are under ¹/8 but I dont know about ³/10