What is the circumference of a circle with a diameter of 7 inches? (use for pi)
2 answers:
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Hi!
Let's first expand the cotangent of theta.
You'll probably know that tangent will be "y/x", or , and cotangent is the reciprocal of this, meaning that it is "x/y" or
.
That means that we are now given this equation.
That'll multiply to:
We'll want a common denominator to add by multiplying to both top and bottom of the second term:
Pythagorean Identity states that , so substitute that in:
Which simplifies to:
Hope this helps!
Do you see a pattern in the given information?
3 pages in 13 min
9 pages in 39 min
15 pages in 65 min
the rate of pages per min is constant
3/13 = 9/39 = 15/65
the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.
Units cancel out just like numbers do so you know that the problem is set up correctly.
3 pages in 13 min
9 pages in 39 min
15 pages in 65 min
the rate of pages per min is constant
3/13 = 9/39 = 15/65
the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.
Units cancel out just like numbers do so you know that the problem is set up correctly.