Answer:
The length of the hypotenuse is 16.2 inches.
Step-by-step explanation:
Answer:
Step-by-step explanation:
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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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The answer would be 'b'
Now, here Luke walks total 2¼ miles but his friend's home is ¼ mile. So, number of trips he makes = Total miles walked ÷ Distance to his friend's home
= 2¼ ÷ ¼ = 9
With only the description, my answer is 20 students.
