Question 1

What is the reference angle of $130\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 2

Which decimal degree is equivalent to $130\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 3

Which is the reference angle of $130\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 4

If $130\degree$ is in standard position, what is the smallest positive angle that is coterminal with $35\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 5

Which degree measure is equal to $130\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 6

A circle has a radius of 8 inches. In inches, what is the length of the arc intercepted by a central angle of 2 radians?

Accepted Answer

16

Answer

20

Answer

18

Answer

22

Question 7

Jane wants to plant a border of flowers in the shape of an arc along the edge of a circular pathway. If the circle has a radius of 10 yards, and the angle subtended by the arc measures 3 radians, what is the length, in yards, of the border?

Accepted Answer

30

Answer

30 $130\degree$

Answer

3 $130\degree$

Answer

3

Question 8

In a circle of radius 7, what is the length of the arc intercepted by a central angle of 2 radians?

Accepted Answer

14

Answer

18

Answer

12

Answer

16

Question 9

The path of a cart traveling on a circular track of radius 4.3 meters. The cart starts at point C and stops at point D, moving in a counterclockwise direction. What is the length of minor arc $130\degree$ over which the cart traveled?

Accepted Answer

12.0 m

Answer

12.4 m

Answer

12.2 m

Answer

12.6 m

Question 10

In a circle, whose radius is 12, what is the length of the arc intercepted by a central angle of 4 radians?

Accepted Answer

48

Answer

64

Answer

12

Answer

16

Question 11

In a circle with a diameter of 26, the area of a sector is $130\degree$ . The measure of the angle of the sector in radians is ____________.

Accepted Answer

0.55 rad.

Answer

0.77 rad.

Answer

0.66 rad.

Answer

0.88 rad.

Question 12

If the radius is 16cm. and the angle at the center of the circle is $130\degree$ then the area of the sector is ____________.

Accepted Answer

312.76 m2

Answer

316.27 m2

Answer

317.26 m2

Answer

312.67 m2

Question 13

What is the area of the sector of the circle with radius 2 meters and central angle $130\degree$ ?

Accepted Answer

$50\degree$ m²

Answer

$50\degree$ m²

Answer

$50\degree$ m²

Answer

$50\degree$ m²

Question 14

The area of the sector of a circle with a radius measuring 14 cm is $130\degree$ cm² . What is the measure of the central angle that forms the sector?

Accepted Answer

2.31 rad.

Answer

2.13 rad.

Answer

3.13 rad.

Answer

3.31 rad.

Question 15

A dart board has diameter 20 in. and is divided into 20 congruent sectors. What is the area of one sector?

Accepted Answer

$130\degree$ in²

Answer

$50\degree$ in²

Answer

$50\degree$ in²

Answer

$50\degree$ in²

Question 16

A Ferris wheel has a radius of 50 ft. A person takes a seat and then the wheel turns $130\degree$ rad. If it takes 30 seconds for the wheel to turn, what is the angular speed of the wheel?

Accepted Answer

0.0698 rad/s

Answer

0.0896 rad/s

Answer

0.0968 rad/s

Answer

0.0689 rad/s

Question 17

A fan with 38-in. blades rotates at 73 rev per min. What is the angular speed of the fan in rad/s?

Accepted Answer

7.645 rad/s

Answer

7.564 rad/s

Answer

7.456 rad/s

Answer

7.465 rad/s

Question 18

What is the angular speed, in radians per minute, associated with given 7.2 revolutions per minute?

Accepted Answer

45.239 rad/min

Answer

45.293 rad/min

Answer

45.329 rad/min

Answer

45.923 rad/min

Question 19

What is $130\degree$ in minutes given $35\degree$ and $\omega=9$ rad/min.?

Accepted Answer

$50\degree$ min.

Answer

$50\degree$ min.

Answer

$50\degree$ min.

Answer

$50\degree$ min.

Question 20

A wheel is rotating at 130 revolutions per minute. What is the angular speed in radians per second?

Accepted Answer

13.614 rad/s

Answer

13.416 rad/s

Answer

13.641 rad/s

Answer

13.641 rad/s

Question 21

What is the distance $130\degree$ covered by a point moving with linear velocity $35\degree$ mi/hr and $\omega=9$ hr. ?

Accepted Answer

$50\degree$ mi.

Answer

$50\degree$ mi.

Answer

$50\degree$ mi.

Answer

$50\degree$ mi.

Question 22

A satellite in circular orbit $130\degree$ km. above the Earth makes one complete revolution every $35\degree$ minutes. Assuming that Earth is a sphere of radius $\omega=9$ km., what is the linear speed (in km/min) of the satellite?

Accepted Answer

399.22 kpm.

Answer

399.23 kpm.

Answer

399.20 kpm.

Answer

399.21 kpm.

Question 23

A computerized spin balance machine rotates a 35-inch diameter tire at 580 rev per minute. At what rate should the spin balance machine be set so that the tire is being tested for 45 miles per hour?

Accepted Answer

432.17 rpm.

Answer

423.71 rpm.

Answer

423.17 rpm.

Answer

432.71 rpm.

Question 24

What is the linear velocity of a point moving with uniform circular motion if $130\degree$ cm. and $35\degree$ sec.?

Accepted Answer

3.5 cm/s

Answer

4.5 cm/s

Answer

6.5 cm/s

Answer

5.5 cm/s

Question 25

A Blu-ray disc is approximately 14 cm. in diameter. The drive motor of a Blu-ray player is able to rotate up to 15,000 revolutions per minute. What is the linear speed (in meters per second) of a point on the outermost track as the disc rotates?

Accepted Answer

109.96 m/s

Answer

109.69 m/s

Answer

190.96 m/s

Answer

190.69 m/s

Question 26

Given that AD=4 and DC=16,

What is the measure of the segment BC?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 27

What is the measure of the third angle given that the measures of the two angles are $130\degree$ and $35\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 28

What is the exact length of the third side given that the length of one of the legs of the right triangle is 15 and the hypotenuse measures 17?

Accepted Answer

8

Answer

9

Answer

10

Answer

11

Question 29

What kind of triangle gives side lengths 77, 36, and 85?

Accepted Answer

right

Answer

acute

Answer

obtuse

Answer

equilateral

Question 30

A boy walks due east 200 m and then walks 300 m due north. How far is the boy from the starting point?

Accepted Answer

360.56 m

Answer

360.65 m

Answer

306.65 m

Answer

306.56 m

Question 31

What is the ratio for tan $130\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 32

In $130\degree$ , the measure of $35\degree$ , $\omega=9$ , $MN=37,$ and $NO=12$ . Which ratio represents the tangent of $\angle M$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 33

The diagram on the right shows right triangle $130\degree$ Which ratio represents cosine of $35\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 34

In $130\degree$ , which statement is NOT true?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 35

In $130\degree$ on the right, the measure of $35\degree$ , $\omega=9$ , $MN=37,$ , and $NO=12$ Which ratio represents the sine of $\angle M$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 36

What is the exact value of $130\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 37

What is the exact value for $130\degree$ on Figure 8?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 38

Using Figure 9, what is the exact value of $130\degree$ ?

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 39

Which of the following is the simplified value of $130\degree$

Accepted Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Answer

$50\degree$

Question 40

A biologist wants to know the width $130\degree$ of Marikina River to properly set instruments for an experiment. From point A, the biologist walks downstream 57 feet and sights to point C (refer to the figure above). From this sighting, it is determined that $35\degree$ . How wide is the river?

Accepted Answer

$50\degree$ ft.

Answer

$50\degree$ ft.

Answer

$50\degree$ ft.

Answer

$50\degree$ ft.

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