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dezoksy [38]
3 years ago
12

What reference angle in the first quadrant corresponds to theta = -120? Answer in radians.

Mathematics
2 answers:
creativ13 [48]3 years ago
4 0
To draw theta=-120° in the unit circle, we move clockwise 90°, then another 30°.

This means that we pass the fourth quadrant and stop in the third quadrant.

The reference angle of an angle theta in the third quadrant, is theta + 180°.

So the reference angle of -120° is -120°+180°=60°.


         360° are 2π Radians
then  60° are 1/6 of 2π Radians = π/3 Radians


Answer: Reference angle is π/3 Radians
Eduardwww [97]3 years ago
3 0

Answer:

Answer: Reference angle is π/3 Radians

Step-by-step explanation:

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Gwar [14]
Y=-2 You combine like terms which would be -14 and 22. 22-14=8. Then you subtract that from 0. 0-8=-8. Then divide -8 by 4y. -8÷4=-2
7 0
3 years ago
Starting at the same point, Joe and Anita go roller blading in opposite directions. If Joe roller blades at a speed of 4 mph, an
agasfer [191]

Answer:

They will be at a distance of 16 miles apart from each other.

Step-by-step explanation:

Both Joe and Anita start roller balding in opposite directions, and both of them have the same speed of 4 mph.

As they move oppositely in a straight line therefore, the distance between them will be the distance travelled by each of them's sum.

Distance covered by Joe in 2 hours= 8 miles

Distance covered by Anita in 2 hours= 8 miles

Therefore, the total distance from each other =16 miles

8 0
3 years ago
Two angles are supplementary. The first angle has 20 degreesmore the second angle. How ma y degrees are in each angle?
Vanyuwa [196]

Answer:

100 and 80

Step-by-step explanation:

Let x = be the first angle

x-20 is the second angle

They are supplementary so they add to 180

x+x-20 = 180

Combine like terms

2x-20 =180

2x-20+20 =180+20

2x= 200

Divide by 2

2x/2 = 200/2

x= 100

The first angle is 100 and the second is x-20

x-20 = 100-20=80

The two angles are 100 and 80

3 0
3 years ago
Please please help fast , thank you !
Tresset [83]

Answer:

2>x

y>-1

Step-by-step explanation:

assume y=0 when finding x and vice versa

4 0
3 years ago
Hi can someone please help me with this question
olga2289 [7]

Answer: B. 3x + 1/5

tom's pencil is longer than Ellen's pencil:

5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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