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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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A hose fills a hot tub at a rate of 3.13 gallons per minute. How many hours will it take to fill a 255-gallon hot tub?
GalinKa [24]

Answer:

about 1.4 hours

Step-by-step explanation:

3.13 gallons per minute.

60 minutes in an hour, so multiply both numbers by 60.

187.8 gallons per hour.

Divide the number of gallons we need to fill the tub the number of gallons put in per hour.

255÷187.8=1.375...

Round it, you get 1.4 hours.

It takes about 1.4 hours to fill the hot tub.

6 0
3 years ago
Find the area of the shaded region. Round your answer to the nearest tenth if needed.<br><br> 4B
AlexFokin [52]

Answer:

136.1 inches

Step-by-step explanation:

area of a circle is r^2 x pi

this is 3/4 of a circle

1. so 3/4 x 7.6^2xpi

2. 3/4 x 57.76 x pi

3. .75 x 57.76 x pi

4. 136.1

5 0
3 years ago
Determine the measure of ∠Y. images attached
Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

\tan(∠Y)  =  \frac{25}{20}  \\  \tan(∠Y)  =  \frac{5}{4}  \\ ∠Y =  { \tan^{ - 1} } \frac{5}{4}  \\ ∠Y = 51.34019...

We have the final answer as

<h3>51.34°</h3>

Hope this helps you

5 0
3 years ago
Read 2 more answers
(3,7) Quadrant where the point is located
AleksandrR [38]
Since both values are positive, it is in quadrant 1
6 0
3 years ago
-11 2/3 * (-4 1/5) = ?<br> Will try to mark brainliest please hurry
Trava [24]
Answer is 49
Pls mark me brainliest
6 0
3 years ago
Read 2 more answers
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