Answer:
Domain of the inverse is (5, infinity)
Range of the inverse is (-infinity , -2)
Step-by-step explanation:
To find the domain of the inverse function, we have that;
The range of the function becomes the domain of the inverse
The domain of the function becomes the range of its inverse
so the domain is (5, infinity)
range is (-infinity, -2)
Using the Law of Sines (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.
The third angle is C is 180-53-17=110°
27/sin53=b/sin17=c/sin110
b=27sin17/sin53, c=27sin110/sin53
And the perimeter is a+b+c so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (to nearest hundredth of a unit)
D. there is a perfect association between the variables
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
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Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:
We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.