1. For the equation SinA + sin²A = 1, we can derive that sinA = 1 - sin²A, which simplifies to sinA = cos²A. Then, using this, we have Cos²A + cos⁴A = cos²A + (cos²A)², replacing cos²A with sinA gives sinA + sin²A = 1. Therefore, cos²A + cos⁴A = 1. I hope this is helpful!
Answer:
No
Step-by-step explanation:
According to the Pythagorean Inequality Theorem, the sum of the two shorter sides must exceed the length of the third side.
4+6=10
11 is still greater than 10.
Hence, constructing such a triangle is not feasible.
Plans A and D are incorrect because plan C states that it would have a consistent price for 8 weeks, whereas plan D would require 16 weeks to reach $12, which eliminates A and D as options. If the price were to be increased by 10% weekly, it would take 5 weeks to hit $12, as 10% of $8 amounts to 80 cents, leading to a total increase of $4 after 5 weeks, making the price $12. This confirms that B is the right choice.
