Mathematics: Celia is staring at the clock waiting for school to end so that she can go to track practice. she notices that the 5-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. part 1: how many radians does the minute hand move from 1: 25 to 1: 55? (hint: find the number of degrees per minute first.) part 2: how far does the tip of the minute hand travel during that time? you must show all of your work.

Celia is staring at the clock waiting for school - id142016, robertotugalanp1wlgs

weridness80

10.03.2022

a) $\pi\text{ radian}$

b) 15.7 inches

Step-by-step explanation:

We know that the measure of complete circle is $360^{\circ}$ .

Therefore,

$60\ minutes=360^{\circ}\\\Rightarrow\ 1\ minute=\frac{360}{60}=60^{\circ}$

The minute hand move from 1:25 to 1:55, it means the minute have cover 30 minutes.

Now, 30 minutes= $60\times30=180^{\circ}$

In radians, 30 minutes= $180^{\circ}\times\frac{\pi}{180^{\circ}}$

Therefore, 30 minutes= $\pi\ radians$

Also the length of arc is given by

$l=r\theta$

Now, for radius r= 5 inch and $\theta=\pi$

Length traveled by the tip of the minute hand travel during that time= $5\times\pi=5\times3.14=15.7\ inches$

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camillaowens206

06.05.2022

PLEASE MARK BRAINIEST

d (4) = 68

This means that after 4 hours Joanna cycled for 68 miles total

Step-by-step explanation:

For this case we have the following equation:

The variables are:

t: time in hours

d (t): distance traveled in miles.

We evaluate the distance traveled after 4 hours.

So we have that for t = 4:

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