1. Find the "opposite side," if the angle is 60 degrees and the hyp is 6:
opp opp sqrt(3)
sin 60 deg = ------- = -------- = ----------
hyp 6 2
Cross-multiplying, 2(opp) = 6sqrt(3), so that opp = 3 sqrt(3) (answer)
2. Use the Pyth. Thm. to find the "adjacent side:"
[3sqrt(3)]^2 + x^2 = 6^2, or 9(3) + x^2 = 36, or x^2 = 9, or x = 3.
The lengths of the legs of this 30-60-90 triangle are 3 and 3 sqrt(3).
check: Does 3^2 + [3sqrt(3)]^2 = 6^2?
Does 9 + 9(3) = 6^2? YES
Answer:
10
Step-by-step explanation:
You can't simplify this equation anymore because they have no like terms.
Answer:
62.8 inches
Step-by-step explanation:
c = 2πr
Where,
c = Circumference of a circle
π = pi = 3.14
r = radius = 10 inches
c = 2πr
= 2 × 3.14 × 10
= 62.8 inches
c = 62.8 inches
Therefore,
The circumference of the circle is 62.8 inches
