By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Answer:
6
Step-by-step explanation:
= 6
Answer:
92%
Step-by-step explanation:
sale price is 184.
original price was 200.
184/200 = 0.92
Multiply by 100 to change to a percent.
0.92 × 100 = 92
184 is 92% of 200.
The coat was sold for 92% of its original price.
Multiply the total population by the fraction
= 40,000 * 2/3
= (40,000 * 2)/3
= 80,000/3
= 26,666.66
Must round up since we cannot have a half of a person
= 26,667 are women in Cartown
Hope this helps! :)
Answer:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Step-by-step explanation:
To prove <em>similarity</em>, you must show two corresponding angles are congruent. Thus, you can ignore any answer choices involving congruence of segments. The angles in the 2nd answer choice are not corresponding, so that, too, can be eliminated.
The appropriate choice is the last one:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
