C.) Coordinate of x is (10, 8)
In short, Your Answer would be: Option C
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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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Answer:
The possible number that Hall could be thinking of is 144.
Step-by-step explanation:
Difference between 17 and the square root of my mystery number
This is represented by:

is 5
Then:

What are two possible numbers that Hall could be thinking of?
We have to solve the equation, for x. So




The possible number that Hall could be thinking of is 144.
Answer:
7
Step-by-step explanation:
If the ratio is 2:3:2 that means that there is 2Karen tomato juice bottles, 3pineapple juice bottles and 2 grape juice bottles you just have to find the sum and get 7juice bottles
Answer:
The weight of the object is 3 kg.
Step-by-step explanation:
<u>Step 1:
</u>
Let object weight be x kg.
Now, as per the available data,
3/4 kg + 3/4 (x kg) = x kg
<u>Step 2:
</u>
3/4 (1 + x) = x
1 + x = 4x/3
1 = x (4/3 - 1)
x = 1 / (1/3)
x = 3
Weight of Object is 3 kg.
<u>Step 3:
</u>
Let's check if this value satisfies the first equation.
3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3
Hence proved.