Answer:
its in the image below because im too lazy to write it down.
Step-by-step explanation:
The arcs FA, AB, and <u>BF</u> make up the entire circle, so their measures sum to 360°:
arcFA + arcAB + arcBF = 360° → arcBF = 360° - 160° - 140° = 60°
By the inscribed angle theorem, angle BAF has measure equal to half of that of arc BF, so
angleBAF = 30°
By the secant-tangent theorem (not sure if there's an official name for it), the measure of angle ACF is equal to half the difference of the arcs it intercepts, namely BF and FA, so that
angleACF = 1/2 (arcFA - arcBF) = 1/2 (160° - 60°) = 50°
Now use the law of sines for solve for FA:
sin(angleACF) / FA = sin(angleBAF) / FC
sin(50°) / FA = sin(30°) / 10
FA = 10 sin(50°) / sin(30°) ≈ 15.3
Step-by-step explanation:
- move the decimal point <em>n</em> place to the left
- move the decimal point <em>n</em> place to the right
Examples:
<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
================================================
Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
---------------
Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
---------------
Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
