Illustrative Math - Algebra 2 - Unit 6 - Lesson 18 - Teerani Sutthiphansakul | Biblioteka

1

The vertical position, in feet, of the point P on a windmill is represented by y=5sin(\frac{2\pi t}{3})+20, where t is the number of seconds after the windmill started turning at a constant speed.
Select all the true statements.

The midline for the graph of the equation is 20.

The windmill makes one revolution every 3 seconds.

The windmill makes 3 revolutions per second.

The windmill blades make 5 revolutions per second.

The windmill blades are 5 feet long.

F.BF.1.a

F.IF.4

+5

1

A seat on a Ferris wheel travels 250\pi feet in one full revolution.
How many feet is the carriage from the center of the Ferris wheel?

\frac{125}{\pi}

\frac{250}{\pi}

125

250

F.BF.1.a

F.IF.4

+5

1

A \frac{\pi}{2} radian rotation takes a point D on the unit circle to a point E. Which other radian rotation also takes point D to point E?

\frac{3\pi}{2}

\frac{4\pi}{2}

\frac{5\pi}{2}

\frac{7\pi}{2}

F.BF.1.a

F.IF.4

+5

1

A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds.
Which statements are true? Select all that apply.

After 15 seconds, the point W will be in its starting position.

The position of W repeats every 10 seconds.

After \frac{1}{5} of a second, the point W will be in its starting position.

In 1 second, the point W travels through an angle of \frac{1}{5}.

The position of W repeats every 5 seconds.

F.BF.1.a

F.IF.4

+5

1

Here is the graph of a trigonometric function.
Which equation has this graph?

y=-2sin(2x)

y=2sin(2\pi(x+\frac{1}{4}))

y=2sin(2\pi(x-\frac{1}{4}))

y=2sin(2\pi(x+\frac{\pi}{4}))

F.BF.1.a

F.IF.4

+5

This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 18. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/18/index.html ; accessed 29/July/2021.

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Illustrative Math - Algebra 2 - Unit 6 - Lesson 18

Illustrative Math - Algebra 2 - Unit 6 - Lesson 18

The vertical position, in feet, of the point P on a windmill is represented by y=5sin(\frac{2\pi t}{3})+20, where t is the number of seconds after the windmill started turning at a constant speed. Select all the true statements.

A seat on a Ferris wheel travels 250\pi feet in one full revolution. How many feet is the carriage from the center of the Ferris wheel?

A \frac{\pi}{2} radian rotation takes a point D on the unit circle to a point E. Which other radian rotation also takes point D to point E?

A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds.Which statements are true? Select all that apply.

Here is the graph of a trigonometric function.Which equation has this graph?

The vertical position, in feet, of the point P on a windmill is represented by y=5sin(\frac{2\pi t}{3})+20, where t is the number of seconds after the windmill started turning at a constant speed. Select all the true statements.

A seat on a Ferris wheel travels 250\pi feet in one full revolution. How many feet is the carriage from the center of the Ferris wheel?

A \frac{\pi}{2} radian rotation takes a point D on the unit circle to a point E. Which other radian rotation also takes point D to point E?

A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds.Which statements are true? Select all that apply.

Here is the graph of a trigonometric function.Which equation has this graph?

The vertical position, in feet, of the point P on a windmill is represented by y=5sin(\frac{2\pi t}{3})+20, where t is the number of seconds after the windmill started turning at a constant speed.
Select all the true statements.

A seat on a Ferris wheel travels 250\pi feet in one full revolution.
How many feet is the carriage from the center of the Ferris wheel?

A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds.
Which statements are true? Select all that apply.

Here is the graph of a trigonometric function.
Which equation has this graph?

The vertical position, in feet, of the point P on a windmill is represented by y=5sin(\frac{2\pi t}{3})+20, where t is the number of seconds after the windmill started turning at a constant speed.
Select all the true statements.

A seat on a Ferris wheel travels 250\pi feet in one full revolution.
How many feet is the carriage from the center of the Ferris wheel?

A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds.
Which statements are true? Select all that apply.

Here is the graph of a trigonometric function.
Which equation has this graph?