A) 90-55=35 since a right angle is 90 total\
b)ii
Given:
The figure of a right triangle.
and perpendicular = 12.
To find:
The measure of angle y.
Solution:
In a right angle triangle,

In the given right angle triangle,




Therefore, the measure of angle y is
.
Answer:
3
Step-by-step explanation:
9-6=3
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:
$702.53
Step-by-step explanation:
178.74
36,52+18.92+25.93=81.37
178.74-81.37=97.37
300+100+205.16=605.16
605.16+97.37=702.53
The final balance is 702.53 dollars.