1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
<span>The fittable function seems to be 2 x^2+4 x+7.
So C (167)</span>
Answer:
x=43
Step-by-step explanation:
Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.
x+72 = 115
then you subtract 72 from both sides
x=43
Answer:
x = -5
Step-by-step explanation:
Step 1: Write equation
-2x + 8 = 18
Step 2: Solve for <em>x</em>
- Subtract 8 on both sides: -2x = 10
- Divide both sides by -2: x = -5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-2(-5) + 8 = 18
10 + 8 = 18
18 = 18
Answer:
x ≥ $750
Step-by-step explanation: