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Illustrative Math - Algebra 2 - Unit 6 -Lesson 3

Posljednje ažuriranje over 3 years ago

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Pitanje 1

1.

C is a circle with radius r. Which of the following is true? Select all that apply.

The circumference of C is 2\pi r.

One quarter of the circle has length \frac{\pi r}{4}.

The diameter of C is 2r.

The circumference of C is \pi r.

One quarter of the circle has length \frac{\pi r}{2}.

Pitanje 2

2.

The table shows an angle measure in radians and the amount of rotation about a circle corresponding to the angle. For example, 2\pi radians corresponds to 1 full rotation. Complete the table.

Pitanje 3

3.

A wheel has a radius of 1 foot. After the wheel has traveled a certain distance in the counterclockwise direction, the point P has returned to its original position. How many feet could the wheel have traveled? Select all that apply.

2\pi

5\pi

\frac{\pi}{2}

10\pi

\pi

1

Pitanje 4

4.

1

Pitanje 5

5.

1

Pitanje 6

6.

1

Pitanje 7

7.

1

Pitanje 8

8.

1

Pitanje 9

9.

Pitanje 10

10.

The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the x-axis? Where does the circle intersect the y-axis? Explain how you know.

Pitanje 11

11.

Triangles ABC and DEF are similar. Explain why \tan(A)=\tan(D).

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

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