The tip of a 6 inch minute hand of a clock sweeps out circular arcs. What is the length of the arc made by the tip of the minute hand between 5:35 and 5:45?

Use 3.14 for pi. Round your answer to the nearest hundredth.

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in.

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Step-by-step explanation:

The circumference of a circle with radius 6 inches is 12π inches.

15 minutes is 1/4 of the circle which is 60 minutes

Therefore the tip moves 1/4 of 12π = 3π inches

In 25 minutes the tip moves (25/60)12π = 5π inches

Yes, you can also use the formula s = rθ

θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians

Therefore s = 6 inches(π/2) = 3π inches

25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians

Step-by-step explanation:

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a. the residual plot for model 1 has a random pattern and is a good fit for the data.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47