This problem involves finding arc lengths. The formula for arc length
is s = r*theta, where r is the radius and theta the central angle.
In 15 minutes, the minute hand sweeps out 1/4 of a circle, or pi/2 radians. This is the central angle. The arc length (how far the minute hand moves in 15 min) is then
s = (6 inches)(pi/2 rad) = 3pi inches, or about 9.42 inches.
25 minutes is equivalent to a central angle of (25/60)pi rad, or 1.31 radians. What is the associated arc length? Calculate this in the same way as I did for a central angle of pi/2.
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It would be 86.283616915 but rounded, would be 86.
Hope this helps!
****For density you would divide mass by volume
The total cost to stay one night at sleepyhead motel without breakfast = $119
The total cost to stay one night at sleepyhead motel with breakfast = $124
We have to find the difference in the cost for a one night stay with and without breakfast.
Difference = $124 - $119
= $5
Therefore, the difference in the cost for a one night stay with and without breakfast is $5.
Ths solubility curve is used to show the amount of salt dissolved (solubility).
<h3>What is the solubility curve?</h3>
The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.
If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.
Learn more about solubility curve: brainly.com/question/9537462
We can set up a proportion to find this
60 x
--- = ----
100 1200
then we cross multiply and divide to solve
60 times 1200 is 72000 divided by 100 is 720
now we know his employer pays 720 out of 1200
we subtract to find out how much he pays
1200-720 is 480
fred pays 480
