The function g(x) =2x^2+3 is transformed into k(x)=g(x-2)+4.
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We have been given that last year, the business had profit of $8000.
Further, we are given that, the profit for this year will be 5 times as great the profit of last year. So, in order to find profit of current year, we will have to consider 5 times of $8000.
Therefore, we get the profit for current year as:
Therefore, profit for current year would be 40,000 dollars.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The area of the triangle is 55.4256 ft².
<h3>What are Trigonometric functions?</h3>The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
For the given triangle the length of AB and BC can be written as,
Now, the area of the triangle is,
Area of triangle = 0.5× 8 × 13.8564 = 55.4256 ft²
Hence, the area of the triangle is 55.4256 ft².
Learn more about Trigonometric functions:
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