A circular swimming pool has a radius of 15 feet. What is the circumference of the pool?
1 answer:
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Answer:
Step-by-step explanation:
An <em>inverse</em> function is any function that "undoes" another function. If we think of the function as some kind of machine that takes in a number
as input and produces a number
as an output, when we give inverse function
the number
as in input, we get
, our original input, as the output
We need a function that undoes , and the natural choice for undoing an exponent is with a logarithm. Here, our base is
, so we'll choose
as our inverse function. Let's see how that works:
is the power we have to raise
to to get
, which is
, so
And we have our function.
Answer:
Step-by-step explanation:
<u>Right Triangles</u>
A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.
Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.
We'll use the adjacent angle, and
Solving for c
Rationalizing
Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that
Solving for h
Rationalizing