Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
<h3>What is angle measurement?</h3>
An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
Given data;
sin(1/2) = π/6
The value of the trignometric function are;
cos(π/6) = (√3)/2
tan(π/6) = 1/√3 = (√3)/3
In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.
θ = 5π/6
cos(5π/6) = -(√3)/2
tan(5π/6) = -(√3)/3
Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
To learn more about the angle measurement, refer to the link;
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Ayanna is 17 and Brittany is 14.
To find this, let's write two equations using the given information.
a = b + 3
3b + 2a = 76
Now, just substitute the first equation into the second and solve.
3b + 2(b + 3) = 76
3b + 2b + 6 = 76
5b = 70
b = 14
If Brittany is 14, then Ayanna is 3 years older at 17.
Break the figure into a triangle and a rectangle.
The triangle has a base of 6 and a height of 3, so the area is 6*3/2 = 18/2 = 9
The rectangle has a length of 5 and a height of 6, so 6*5 = 30 is the area of the rectangle.
The total area is 30+9 = 39
Answer: 39
Answer:
<em>The correct option is: 82°</em>
Step-by-step explanation:
In the given diagram, two chords
and
are intersecting.
According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."
That means here......

So, the measure of arc
is 82°
Answer:
Your answer for the above equation is D