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Answer:
Problem:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width. Take width as 'x'.
Step-by-step explanation:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width.
Let the width be 'x'.
Therefore, as per question, length is 12 more than thrice the width.
Thrice the width means . 12 more means adding 12 to the result.
Therefore, the length of the rectangle is
So, the above question expresses the length of the rectangle as which is the required answer.
First I converted the equation terms into sine and cosine.
Substitution:
Common Denominator Created:
Multiply each term by the LCD:
Substitution: Recall ⇒
Distribute and collect all terms on one side:
Factor and set each factor equal to 0:
The 2nd factor provides only possible answer 109.5 degrees