Find the arc length. r=12, 0=2pi/3
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<u>Given</u>:
In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.
We need to determine the ratio that represents the sine of ∠W
<u>Ratio of sin of ∠W:</u>
The ratio of sin of ∠W can be determined using the trigonometric ratios.
The ratio of is given by
From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.
Hence, substituting in the above ratio, we get;
Substituting the values, we get;
Thus, the ratio of sine of ∠W is
1. Acceleration is the rate of change of velocity, so is the slope of a velocity vs. time curve (which you are given here). The curve is not a straight line, so its slope is changing. Points on the right of the curve are higher than points on the left, so the slope is positive. The appropriate choice is
... changing positive acceleration
2. Units conversion is required.
The appropriate choice is
... 0.673 m/s²
3. As before, the slope of the curve is the acceleration. This curve goes up less than 1 m/s for each second horizontally, so the appropriate choice is
... 0.6 m/s²