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Anni [7]
3 years ago
6

driving to and from the butterfly garden took 45 minutes each way. Students spent 3 hours in the garden and 30 minutes eating lu

nch. If the groups left school at 9:00a.m. what time did they get back
Mathematics
1 answer:
Setler [38]3 years ago
3 0
45 min add 45 min equals 1:30 add 3 3:30 add 30 equals they got vack at 1:00pm
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Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of
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Answer:

<em>The larger gear will rotate through 156°</em>

Step-by-step explanation:

<u>Arc Length</u>

The arc length S of an angle θ on a circle of radius r is:

S = \theta r

Where θ is expressed in radians.

The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.

Convert the angle to radians:

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The larger gear rotates the same arc length, so:

\displaystyle S_2=\frac{18.5\pi}{3}

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\displaystyle \theta_2=\frac{18.5\pi}{3r_2}

\displaystyle \theta_2=\frac{18.5\pi}{3*7.1}

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