The circumference of a circle is divided into twelve equal arcs. The measure of each arc is
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Answer:
This is the same as saying
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Work Shown:
where
As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule to break up the root.
The parenthesis used at the very end is to help separate the from the
term. The "i" is not under the square root.
The equation is actually 
. Free fall is always -16t^2 as the position function. We are looking for how long it takes the object to hit the ground. In other words, the height of an object is 0 when it is laying on the ground, so how long (t) did it take to get there? We will then set that position equal to 0 and solve for t. 
. If we subtract 1437 from both sides and divide by -16, we have 
. Taking the square root of both sides gives us, rounded to the nearest tenth, t = 9.5 or t=-9.5. The 2 things in math that will never EVER be negative are time and distance/length, so -9.5 is out. That means that it took just about 9.5 seconds for the object to fall to the ground from a height of 1437 feet when pulled on by the force of gravity.