C=2πr and the circumference is measured at 360°
So if we were to set up a proportion we could say:
s/(2πr)=α/360
α=180s/(πr)
We are given that s=4m and r=13m so:
α=180(4)/(13π)
α=720/(13π) m which is approximately:
α≈17.63°
Which is why radians are often used, because in radians...
α=[720/(13π)](π/180)
α=4/13 rads
Or the arc length in radians is simply expressed as:
s=rα
α=s/r (which is much neater :P) then it is plain to see that:
α=4/13 rads
It would be 1............
10/4 + 1/3 = 17/6
step 1: reduce the fraction with 2:
5/2 + 1/3
step 2: write all numerators above the common denominator 6:
15 + 2/ 6
step 3: add the numbers:
17/6
4, 3, 1, 2 are the answers
c is correct.
(Pe)²/(De)³=(Pj)²/(Dj)³ (Pe stands for period of Earth, De for Distance of Earth from Sun,
Because Dj=5.2De
(Pe)²/(De)³=(Pj)²/(5.2De)³
Pj=√(5.2³)(Pe)²=(5.2³)(1)² ≈11.9 =(note: Pe=1 earth year)