Illustrative Math - Algebra 2 - Unit 6 - Lesson 19

The amount of the Moon visible d days after November 30 is modeled by the equation f(d)=0.5cos(\frac{2\pi *(d-6)}{30}). Select all the statements that are true for this model.

• The model predicts a full moon on December 6.
• The model predicts that there will be two full moons in December.
• The model predicts that none of the Moon will be visible on December 21.
• The model predicts that more than half of the Moon will be visible on December 13.
• The model predicts that there is a full moon every 30 days.

Tags

F.IF.7.e

F.TF.5

The center of a clock is (0,0) in a coordinate system, and the hour hand is 8 inches long. It is 10:30 p.m. Which of the following are true of the end of the hour hand? Select all that apply.

• its coordinates are about (-5.7,5.7)
• its coordinates are about (5.7,-5.7)
• its coordinates are about (-5.7,-5.7)
• its coordinates are about (8cos(\frac{3\pi}{4}),8sin(\frac{3\pi}{4}))
• its coordinates are about (8sin(\frac{3\pi}{4}),8cos(\frac{3\pi}{4}))

Tags

F.IF.7.e

F.TF.5

Here is the initial position of a bike wheel before it starts to move. The vertical position, in inches, of P is given by y=10*sin(\frac{\pi}{2}+10, where s is the number of seconds since the wheel began to move. Select all the true statements.

• The wheel makes 3 revolutions per second.
• The wheel makes one revolution every 3 seconds.
• After \frac{1}{4} of a second, the point P will be in the position marked Q.
• After \frac{3}{4} of a second, the point P will be in the position marked Q.
• The radius of the wheel is 10 inches.

Tags

F.IF.7.e

F.TF.5