Nathan read 1/6 of a book the first week he had it. the shaded portion of the model below shows the fraction of the book nathan
2 answers:
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<h2>Answer:</h2><h3>b. n is odd</h3><h2>Step-by-step explanation:</h2>
In this problem, we assume that is a whole number. The definition of inverse functions tells us that a function
has an inverse function if and only if the function is one-to-one, that is, if there is no any horizontal line intersecting the graph of
at more than one point. This only happens if
is odd. This is called the Horizontal Line Test for Inverse Functions. So let's take two examples:
FIRST:
Since n is even, an horizontal line will pass through two points as indicated in the first figure below.
SECOND:
Since n is odd, an horizontal line will pass through just one point as indicated in the second figure below.
Answer:
The area of the shaded region is about 38.1 square centimeters.
Step-by-step explanation:
We want to find the area of the shaded region.
To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.
The given circle has a radius of 6 cm.
And the given sector has a central angle of 150°.
The area for a sector is given by the formula:
In this case, r = 6 and θ = 150°. Hence, the area of the sector is:
Now, we can find the area of the triangle. We can use an alternative formula:
Where a and b are the side lengths, and C is the angle between them.
Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.
And the angle C is 150°. Hence, the area of the triangle is:
The area of the shaded region is equivalent to the sector minus the triangle:
Therefore:
Use a calculator:
The area of the shaded region is about 38.1 square centimeters.