The position of a paddle on a waterwheel after t seconds is modeled by f(t) = 5.25 cosine (StartFraction pi Over 16 EndFraction

Answer:

Attached is the question in consideration.

forms a straight line.

depicts a right triangle.

The options represent the correct answers.

Step-by-step explanation:

⇒ Given that  is ⊥ it constitutes a right triangle, leading to .

⇒ The measure for equals as bisects , implying that is half of , thus  .

⇒ represents a straight line, as the angle measures across it yield .

⇒ The angle measure for is derived from the linear pair concept.

Since , inserting the values of   leads to .

The other two options are incorrect as:

• 

       it surpasses while is a               

      straight line.

• Also, is inaccurate.

     As and

Thus, we have a total valid answers.

The confirmed options are .

I am hesitant to provide a definite answer since I'm not completely certain, but it's clear you can discard options C and D right away since the rate of change cannot be negative. Between options A and B, I would lean towards option B. I would have asked you to consider me the brainliest if I were correct, but I suspect this is for the IA4, where you're unable to check your grade... haha. Apologies, but I hope this assists you in some way!

The attached graph illustrates the region. The centroid's coordinates are (5/3, 1). The centroid's coordinates are determined by averaging the coordinates of the area; Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3 and O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1.