+ All Categories
Home > Documents > 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8...

1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8...

Date post: 19-May-2018
Category:
Upload: doandung
View: 216 times
Download: 1 times
Share this document with a friend
24
1. Given: BD is tangent to circle O at C, mAEC 276 , and m ACE 98 . Find m DCE . F E A B D C O [A] 41 [B] 178 [C] 40 [D] none of these 2. Given: BD is tangent to circle O at C, mEAC 284 , and m ACB 42 . Find m ACE . F E A B D C O [A] 100 [B] 96 [C] 121 [D] none of these 3. Given: BD is tangent to circle O at C, mEAC 282 , and m ACB 36 . Find m ACE . F E A B D C O [A] 108 [B] 105 [C] 123 [D] none of these 4. Find the diameter of the circle (not drawn to scale). BC 13 and DC 21. Round your answer to the nearest tenth. A O B D C [A] 20.9 [B] 13.0 [C] 46.9 [D] 18.2 5. Find the diameter of the circle (not drawn to scale). BC 12 and DC 21. Round your answer to the nearest tenth.
Transcript
Page 1: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

1. Given: BD is tangent to circle O at C,

mAEC 276 , and m ACE 98 . Find m DCE .

F

E

A

B

D

C

O

[A] 41

[B] 178

[C] 40

[D] none of these

2. Given: BD is tangent to circle O at C,

mEAC 284 , and m ACB 42 . Find m ACE .

F

E

A

B

D

C

O

[A] 100

[B] 96

[C] 121

[D] none of these

3. Given: BD is tangent to circle O at C,

mEAC 282 , and m ACB 36 . Find m ACE .

F

E

A

B

D

C

O

[A] 108

[B] 105

[C] 123

[D] none of these

4. Find the diameter of the circle (not drawn toscale). BC 13 and DC 21. Round your answer

to the nearest tenth.

A

O

B

D C

[A] 20.9

[B] 13.0

[C] 46.9

[D] 18.2

5. Find the diameter of the circle (not drawn toscale). BC 12 and DC 21. Round your answer

to the nearest tenth.

Page 2: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

A

O

B

D C

[A] 27.4

[B] 24.8

[C] 48.8

[D] 14.1

6. Find the diameter of the circle (not drawn toscale). BC 14 and DC 17. Round your answer

to the nearest tenth.

A

O

B

D C

[A] 34.6

[B] 9.3

[C] 5.5

[D] 6.6

Find the area.

7.

10.6 cm

3.8 cm

[A] 20.14 cm2

[B] 28.8 cm2

[C] 14.4 cm2

[D] 40.28 cm2

8.

9.5 cm

3.4 cm

[A] 25.8 cm2

[B] 16.15 cm2

[C] 32.3 cm2

[D] 12.9 cm2

9.

6.7 cm

2.4 cm

[A] 8.04 cm2

[B] 9.1 cm2

[C] 16.08 cm2

[D] 18.2 cm2

Use the converse of the Pythagorean theorem todetermine which three numbers could represent thesides of a right triangle.

10.

Page 3: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[A] 5, 11, 13

[B] 6, 13, 14

[C] 5, 12, 13

[D] 6, 12, 12

Use the converse of the Pythagorean theorem todetermine which three numbers could represent thesides of a right triangle.

11.

[A] 8, 24, 26

[B] 7, 24, 25

[C] 8, 23, 26

[D] 7, 23, 25

12.

[A] 10, 40, 40

[B] 9, 40, 41

[C] 9, 39, 41

[D] 10, 39, 40

Find the center and radius of the circle with thegiven equation.

13. x y 7 3 92 2b g b g

[A] – , – ,7 3 3b g

[B] 3 7 3, – ,b g

[C] 3 7 9, ,b g

[D] 7 3 3, ,b g

14. x y 8 3 1442 2b g b g

[A] 3 8 12, ,b g

[B] 8 3 12, – ,b g

[C] 3 8 144, – ,b g

[D] – , ,8 3 12b g

15. x y 2 5 1692 2b g b g

[A] – , ,5 2 169b g

[B] – , – ,5 2 13b g

[C] 2 5 13, – ,b g

[D] – , ,2 5 13b g

16. CM 10, OM 6, and ON 5. Find FN .

C

D

MO

E

F

N

[A] 111

[B] 444

[C] 11

[D] 30

17. CM 17, OM 8, and ON 10. Find EF.

Page 4: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

C

D

M O

E

F

N

[A] 45

[B] 2 253

[C] 16

[D] 1012

18. CM 13, OM 5, and ON 8. Find EN .

C

D

MO

E

F

N

[A] 11

[B] 39

[C] 130

[D] 780

Find the value of x.

19.

60°

4x

8

[A] 8 3

[B] 2 3

[C] 4

[D] 4 3

20.

60°

10x

20

[A] 20 3

[B] 10 3

[C] 5 3

[D] 10

Find the value of x.

21.

60°

6x

12

[A] 12 3

[B] 6 3

[C] 3 3

[D] 6

22. The hypotenuse of a 30 -60 -90 triangle is 10.Find the perimeter.

[A] 15 5 3

[B] 10 2 10

Page 5: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[C] 15 5 2

[D] 2 10 2

23. The hypotenuse of a 45 -45 -90 triangle is 6.Find the perimeter.

[A] 9 3 23

[B] 2 6 2

[C] 6 2 6

[D] 9 3 3

24. The hypotenuse of a 45 -45 -90 triangle is 4.Find the perimeter.

[A] 4 2 4

[B] 6 2 3

[C] 2 4 2

[D] 6 2 23

25. Cindy ran 4 times around a circular track thathas a diameter of 45 m. Approximately how far didshe run? Use 314. and round your answer to the

nearest meter.

[A] 282 m

[B] 283 m

[C] 565 m

[D] 1590 m

26. Christine ran 4 times around a circular track thathas a diameter of 51 m. Approximately how far didshe run? Use 314. and round your answer to the

nearest meter.

[A] 962 m

[B] 321 m

[C] 641 m

[D] 2042 m

27. Beth ran 5 times around a circular track that hasa diameter of 55 m. Approximately how far did sherun? Use 314. and round your answer to the

nearest meter.

[A] 864 m

[B] 432 m

[C] 1296 m

[D] 2375 m

28. Find the area of the rhombus to the nearesttenth.

A

B

C

D

29

15

[A] 420.2 square units

[B] 604.8 square units

[C] 424.9 square units

[D] 719.8 square units

29. Find the area of the rhombus to the nearesttenth.

A

B

C

D

25

19

Page 6: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[A] 444.1 square units

[B] 439.4 square units

[C] 544.9 square units

[D] 406.2 square units

30. Find the area of the rhombus to the nearesttenth.

A

B

C

D

33

19

[A] 595.8 square units

[B] 600.5 square units

[C] 890.4 square units

[D] 826.3 square units

31. Find the value of x if AB 21, BC 13, and

CD 15. (not drawn to scale)

x

A

D

C

B

[A] 11.4

[B] 16.8

[C] 12.9

[D] 14.5

32. Find the value of x if AB 23, BC 11, and

CD 10. (not drawn to scale)

x

A

D

C

B

[A] 27.4

[B] 25.8

[C] 24.3

[D] 29.7

33. Find the value of x if AB 24, BC 15, and

CD 17. (not drawn to scale)

x

A

D

C

B

[A] 19.0

[B] 17.4

[C] 19.7

[D] 14.3

Find the value of x.

34.

6

14

x

[A] 9.2

Page 7: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[B] 10.5

[C] 12.6

[D] 15.2

Find the value of x.

35.

316

x

[A] 8.5

[B] 7.2

[C] 15.7

[D] 16.3

36.

7

16

x

[A] 10.6

[B] 17.5

[C] 14.4

[D] 9.3

Find the area of the circle. Use = 3.14.

37.

3.9 m

[A] 11.94 m2

[B] 47.76 m2

[C] 191.04 m2

[D] 24.49 m2

38.

1.8 m

[A] 11.3 m2

[B] 10.17 m2

[C] 40.69 m2

[D] 2.54 m2

39.

1.4 m

[A] 24.62 m2

[B] 8.79 m2

[C] 1.54 m2

Page 8: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[D] 6.15 m2

40. A circle with a diameter of 7 inches has itscenter at the center of a square with 7-inch sides.Find the area of the region that is inside the squareand outside the circle. Use 3.14 for .

[A] 50.0 in.2

[B] 1.8 in.2

[C] 10.5 in.2

[D] 9.7 in.2

41. A circle with a diameter of 4 inches has itscenter at the center of a square with 4-inch sides.Find the area of the region that is inside the squareand outside the circle. Use 3.14 for .

[A] 3.4 in.2

[B] 8.6 in.2

[C] 1.0 in.2

[D] 28.6 in.2

42. A circle with a diameter of 4 inches has itscenter at the center of a square with 4-inch sides.Find the area of the region that is inside the square

and outside the circle. Use 3.14 for .

[A] 1.0 in.2

[B] 8.6 in.2

[C] 28.6 in.2

[D] 3.4 in.2

43. For a circle of radius 6 feet, find the arc lengthof a central angle of 18 .

[A]9

5 ft

[B] 108 ft

[C]6

5 ft

[D]3

5 ft

44. For a circle of radius 9 feet, find the arc lengthof a central angle of 18 .

[A]9

5 ft

[B]27

10 ft

[C]9

10 ft

[D] 162 ft

45. For a circle of radius 8 feet, find the arc length

Page 9: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

of a central angle of 30 .

[A] 4 ft

[B]4

3 ft

[C]8

3 ft

[D] 240 ft

46. Write a similarity statement for the twotriangles.

S

T

U

57°

58°

V

W

X

65°57°

[A] U TS VW X~

[B] STU VW X~

[C] SU T VW X~

[D] STU V XW~

47. Write a similarity statement for the twotriangles.

A

B

C

60°

53°

D

E

F

67°60°

[A] CB A DE F~

[B] ABC DE F~

[C] ABC DF E~

[D] ACB DE F~

48. Write a similarity statement for the twotriangles.

T

U

V

57°

52°

Page 10: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

W

X

Y

71°57°

[A] TUV WY X~

[B] TVU W XY~

[C] VU T W XY~

[D] TUV W XY~

49. The polygons below are similar, but notnecessarily drawn to scale. Find the values of x andy.

15

x 2

25

8

y 2

5

[A] x y 41 6;

[B] x y 42 6;

[C] x y 41 5;

[D] x y 42 5;

50. The polygons below are similar, but notnecessarily drawn to scale. Find the values of x andy.

15

x 2

25

7

y 1

5

[A] x y 34 4;

[B] x y 33 3;

[C] x y 33 4;

[D] x y 34 3;

51. The polygons below are similar, but notnecessarily drawn to scale. Find the values of x andy.

6

x 3

8

6

y 2

4

[A] x y 8 5;

[B] x y 8 6;

[C] x y 9 5;

[D] x y 9 6;

52. Nine pounds of grass seed will cover 120 squarefeet. Let p represent the number of pounds of seedneeded to cover 550 square feet. Select theproportion that can be used to find p.

[A]120

550 9

p

Page 11: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[B]9

120 550=

p

[C]9

120

550=

p

[D]120

9 550=

p

53. Two pounds of grass seed will cover 120 squarefeet. Let p represent the number of pounds of seedneeded to cover 750 square feet. Select theproportion that can be used to find p.

[A]120

2 750=

p

[B]2

120

750=

p

[C]120

750 2

p

[D]2

120 750=

p

54. Three pounds of grass seed will cover 125square feet. Let p represent the number of pounds ofseed needed to cover 420 square feet. Select theproportion that can be used to find p.

[A]3

125

420=

p

[B]125

3 420=

p

[C]3

125 420=

p

[D]125

420 3

p

55. HGF WRS~ . Which of the following

correctly identifies the corresponding sides?

[A] HG WS HF WR GF RSand , and , and and

[B] HG GH WS SW GF FGand , and , and and

[C] HG WR HF WS GF RSand , and , and and

[D] HG RS HF WR GF WSand , and , and and

56. DHF UPQ~ . Which of the following

correctly identifies the corresponding sides?

[A] DH HD UQ QU HF FHand , and , and and

[B] DH UP DF UQ HF PQand , and , and and

[C] DH UQ DF UP HF PQand , and , and and

[D] DH PQ DF UP HF UQand , and , and and

57. JBG UPV~ . Which of the following

correctly identifies the corresponding sides?

[A] JB UV JG UP BG PVand , and , and and

[B] JB UP JG UV BG PVand , and , and and

[C] JB PV JG UP BG UVand , and , and and

[D] JB BJ UV VU BG GBand , and , and and

58. Find the value of x.

C

D

BA

68°

x 2b g

[A] 66

[B] 110

[C] 134

[D] 32

Page 12: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

59. Find the value of x.

C

D

BA

48°

x 3b g

[A] 45

[B] 129

[C] 93

[D] 21

60. Find the value of x.

C

D

BA

52°

x 3b g

[A] 23

[B] 125

[C] 101

[D] 49

61. The regular polygon has radii and apothem asshown. Find the measure of each numbered angle.

1

2

[A] m m 1 45 2 135,

[B] m m 1 45 2 67 5, .

[C] m m 1 2 60

[D] m m 1 22 5 2 78 75. , .

62. The regular polygon has radii and apothem asshown. Find the measure of each numbered angle.

1

2

[A] m m 1 2 60

[B] m m 1 45 2 67 5, .

[C] m m 1 22 5 2 78 75. , .

[D] m m 1 45 2 135,

63. The regular polygon has radii and apothem asshown. Find the measure of each numbered angle.

1

2

Page 13: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[A] m m 1 45 2 135,

[B] m m 1 22 5 2 78 75. , .

[C] m m 1 2 60

[D] m m 1 45 2 67 5, .

64. Find the value of x.

3 15

x

[A] 3 2

[B] 3 5

[C] 3 30

[D] 3 6

65. Find the value of x.

6 12

x

[A] 6 2

[B] 6 3

[C] 6 6

[D] 3 2

66. Find the value of x.

6 13

x

[A] 247

[B] 78

[C] 19

[D] 114

67. Campsites E and F are on opposite sides of alake. A survey crew made the measurements shownon the diagram. What is the distance between thetwo campsites? The diagram is not to scale.

44.7 m

94.7 m 62.73 m

69.7 m 85.23 m

E

F

~~ ~~

~ ~~ ~

~~~~

[A] 35.13 m

[B] 40.23 m

[C] 85.23 m

[D] 62.73 m

68. Campsites P and Q are on opposite sides of a

lake. A survey crew made the measurements shownon the diagram. What is the distance between thetwo campsites? The diagram is not to scale.

43.1 m

63.1 m 47.67 m

68.1 m 44.17 m

P

Q

~~ ~~~ ~~ ~~~

~~

Page 14: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[A] 30.17 m

[B] 35.27 m

[C] 47.67 m

[D] 44.17 m

69. Campsites V and W are on opposite sides of alake. A survey crew made the measurements shownon the diagram. What is the distance between thetwo campsites? The diagram is not to scale.

44.4 m

43.4 m49.94 m

45.4 m47.74 m

V

W

~~ ~~

~ ~~ ~

~~~~

[A] 48.84 m

[B] 49.94 m

[C] 43.74 m

[D] 47.74 m

70. In ABC, J is on AB, K is on BC, and

JK ACYY . Solve for x if JB 12, AJ 15,

BK x 8, and KC x 6 .

71. In ABC, J is on AB, K is on BC, and

JK ACYY . Solve for x if JB 5, AJ 22,

BK x 6, and KC x 5 .

72. In ABC, J is on AB, K is on BC, and

JK ACYY . Solve for x if JB 9, AJ 25,

BK x 3, and KC x 3 .

73. A large totem pole near Kalama, Washington, is109 feet tall. On a particular day at noon it casts a

204-foot shadow. What is the sun’s angle ofelevation at that time? Round to the nearest tenth.

[A] 281.

[B] 619.

[C] 57 7.

[D] none of these

74. A large totem pole near Kalama, Washington, is145 feet tall. On a particular day at noon it casts a156-foot shadow. What is the sun’s angle ofelevation at that time? Round to the nearest tenth.

[A] 68 4.

[B] 471.

[C] 42 9.

[D] none of these

75. A large totem pole near Kalama, Washington, is103 feet tall. On a particular day at noon it casts a189-foot shadow. What is the sun’s angle ofelevation at that time? Round to the nearest tenth.

[A] 57 0.

[B] 28 6.

[C] 614.

[D] none of these

76. Find the value of the variable to the nearestinteger.tan x 0 900.

[A] 40

[B] 41

[C] 42

[D] 43

77. Find the value of the variable to the nearestinteger.

Page 15: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

tan x 1376.

[A] 55

[B] 54

[C] 52

[D] 53

78. Find the value of the variable to the nearestinteger.tan x 3078.

[A] 73

[B] 70

[C] 71

[D] 72

79. Liola drives 185 m up a hill that has a slope of5°. What horizontal distance, to the nearesthundredth of a meter, has she covered?

[A] 16.19

[B] 185.70

[C] 16.12

[D] 184.30

80. Liola drives 415 m up a hill that has a slope of4°. What horizontal distance, to the nearesthundredth of a meter, has she covered?

[A] 416.01

[B] 413.99

[C] 29.02

[D] 28.95

81. Liola drives 250 m up a hill that has a slope of6°. What horizontal distance, to the nearesthundredth of a meter, has she covered?

[A] 26.13

[B] 26.28

[C] 248.63

[D] 251.37

82. A large totem pole near Kalama, Washington is148 feet tall. On a particular day at noon it casts a174-foot shadow. What is the sun’s angle ofelevation at that time?

[A] 40.4°

[B] 49.6°

[C] 31.7°

[D] 58.3°

83. A large totem pole near Kalama, Washington is103 feet tall. On a particular day at noon it casts a183-foot shadow. What is the sun’s angle ofelevation at that time?

[A] 60.6°

[B] 29.4°

[C] 34.3°

[D] 55.7°

84. A large totem pole near Kalama, Washington is112 feet tall. On a particular day at noon it casts a186-foot shadow. What is the sun’s angle ofelevation at that time?

[A] 58.9°

[B] 31.1°

[C] 53.0°

[D] 37.0°

85. Find the area of ABC . The figure is not drawn

to scale.

Page 16: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

A

B

C

6 cm 3 cm104°

[A] 7.40 cm2

[B] 8.73 cm2

[C] 9.00 cm2

[D] 6.51 cm2

86. Find the area of ABC . The figure is not drawn

to scale.

A

B

C

7 cm 2 cm148°

[A] 7.00 cm2

[B] 5.93 cm2

[C] 3.71 cm2

[D] 5.04 cm2

87. Find the area of ABC . The figure is not drawn

to scale.

A

B

C

3 cm 2 cm99°

[A] 2.36 cm2

[B] 2.96 cm2

[C] 2.06 cm2

[D] 2.66 cm2

88. Chef Imelda can do something unique. Using asecret process, she can bake a nearly perfectlyspherical pie consisting of a chicken filling inside athick crust. The radius of the whole pie is 11 cm,and the radius of the filling is 7 cm. What is thevolume of the crust alone? Use 314. .

11 cm7 cm

filling

crust

[A] 268 cm3

[B] 4139.4 cm3

[C] 265 cm3

[D] 4136.4 cm3

89. Chef Imelda can do something unique. Using asecret process, she can bake a nearly perfectlyspherical pie consisting of a chicken filling inside athick crust. The radius of the whole pie is 12 cm,and the radius of the filling is 8 cm. What is thevolume of the crust alone? Use 314. .

12 cm8 cm

filling

crust

[A] 5091 cm3

Page 17: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

[B] 271 cm3

[C] 5094 cm3

[D] 268 cm3

90. Chef Imelda can do something unique. Using asecret process, she can bake a nearly perfectlyspherical pie consisting of a chicken filling inside athick crust. The radius of the whole pie is 12 cm,and the radius of the filling is 7 cm. What is thevolume of the crust alone? Use 314. .

12 cm7 cm

filling

crust

[A] 526.3 cm3

[B] 523.3 cm3

[C] 5801.5 cm3

[D] 5798.5 cm3

91. A gardener needs to cultivate a triangular plot ofland. One angle of the garden is 23°, and the sidesthat surround it are 37 feet and 63.5 feet. What isthe area of the plot of land?

[A] 435.4 ft2

[B] 918.0 ft2

[C] 459.0 ft2

[D] 1081.4 ft2

92. A gardener needs to cultivate a triangular plot ofland. One angle of the garden is 41°, and the sidesthat surround it are 44.5 feet and 61 feet. What isthe area of the plot of land?

[A] 914.0 ft2

[B] 1024.3 ft2

[C] 890.4 ft2

[D] 1780.9 ft2

93. A gardener needs to cultivate a triangular plot ofland. One angle of the garden is 26°, and the sidesthat surround it are 69.5 feet and 78.5 feet. What isthe area of the plot of land?

[A] 1195.8 ft2

[B] 1172.2 ft2

[C] 2451.8 ft2

[D] 2391.6 ft2

Uses formulas to find the lateral area and thesurface area of the prism. Show your answer to thenearest hundredth.

94.

11 m

9 m

25 m

14.21 m

[A] 112 50 1237 502 2. ; .m m

[B] 855.25 m m2 2; .954 25

[C] 742 75 841752 2. ; .m m

[D] 8100 2475002 2. ; .m m

Uses formulas to find the lateral area and thesurface area of the prism. Show your answer to thenearest hundredth.

Page 18: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

95.

11 m

5 m

24 m

12.08 m

[A] 673.92 m m2 2; .728 92

[B] 2500 1320 002 2. ; .m m

[C] 61392 668 922 2. ; .m m

[D] 60 00 660 002 2. ; .m m

96.

9 m

6 m

19 m

10.82 m

[A] 36 00 1026 002 2. ; .m m

[B] 43358 487 582 2. ; .m m

[C] 490.58 m m2 2; .544 58

[D] 57 00 513002 2. ; .m m

97. Solve for a and b.

b

a

16

20

12

[A] a b 3

415,

[B] a b 93

4,

[C] a b 9 15,

[D] a b 155

4,

98. Solve for a and b.

b

a

24

26

10

[A] a b 25

6

65

6,

[B] a b 25

6

5

12,

[C] a b 65

6

13

12,

[D] a b 5

12

65

6,

99. Solve for a and b.

Page 19: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

b

a

15

17

8

[A] a b 64

15

136

15,

[B] a b 64

15

8

15,

[C] a b 136

15

17

15,

[D] a b 8

15

136

15,

100. Find the lateral area and the surface area of thecone. Use 3.14 for and round the answer to the

nearest hundredth. The diagram is not to scale.

15 ft

23 ft

[A]

lateral area 1725.00 ft ; surface area 1083.30 ft2 2

[B]

lateral area 1083.30 ft ; surface area 1789.80 ft2 2

[C]

lateral area 16,249.50 ft ; surface area =1789.80 ft2 2

[D] none of these

101. Find the lateral area and the surface area of the

cone. Use 3.14 for and round the answer to the

nearest hundredth. The diagram is not to scale.

8 ft

20 ft

[A]

lateral area 426.67 ft ; surface area 502.40 ft2 2

[B]

lateral area 4019.20 ft ; surface area = 703.36 ft2 2

[C]

lateral area 502.40 ft ; surface area 703.36 ft2 2

[D] none of these

102. Find the lateral area and the surface area of thecone. Use 3.14 for and round the answer to the

nearest hundredth. The diagram is not to scale.

7 ft

17 ft

[A]

lateral area 373.66 ft ; surface area 527.52 ft2 2

[B]

lateral area 2615.62 ft ; surface area = 527.52 ft2 2

[C]

lateral area 277.67 ft ; surface area 373.66 ft2 2

[D] none of these

Page 20: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

103. The volumes of two similar solidsare 729 m3 and 343 m3. The surface area of the

larger one is 324 m2 . What is the surface area of the

smaller one?

[A] 343 2m

[B] 1372 2m

[C] 182 2m

[D] none of these

104. The volumes of two similar solidsare 2197 m3 and 343 m3. The surface area of the

larger one is 338 m2 . What is the surface area of the

smaller one?

[A] 98 2m

[B] 53 2m

[C] 686 2m

[D] none of these

105. The volumes of two similar solidsare 2197 m3 and 27 m3. The surface area of the

larger one is 676 m2 . What is the surface area of the

smaller one?

[A] 36 2m

[B] 108 2m

[C] 8 2m

[D] none of these

106. A boat in calm seas travels in a straight lineand ends the trip 28 km east and 41 km north of itsoriginal position. Find the direction of the trip to thenearest tenth of a degree.

[A] 1457. north of west

[B] 557. east of north

[C] 124 3. north of east

[D] 34 3. east of north

107. A boat in calm seas travels in a straight lineand ends the trip 34 km west and 53 km south of itsoriginal position. Find the direction of the trip to thenearest tenth of a degree.

[A] 32 7. west of south

[B] 147 3. south of east

[C] 57 3. west of south

[D] 32 7. south of west

108. A boat in calm seas travels in a straight lineand ends the trip 31 km west and 20 km south of itsoriginal position. Find the direction of the trip to thenearest tenth of a degree.

[A] 147 2. west of south

[B] 122 8. east of south

[C] 32 8. south of west

[D] 57 2. south of west

Page 21: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

Reference: [11.3.2.29][1] [C]

Reference: [11.3.2.29][2] [A]

Reference: [11.3.2.29][3] [B]

Reference: [11.4.2.39][4] [A]

Reference: [11.4.2.39][5] [B]

Reference: [11.4.2.39][6] [D]

Reference: [7.1.2.8][7] [A]

Reference: [7.1.2.8][8] [B]

Reference: [7.1.2.8][9] [A]

Reference: [7.2.2.27][10] [C]

Reference: [7.2.2.27][11] [B]

Reference: [7.2.2.27][12] [B]

Reference: [11.5.2.49][13] [D]

Reference: [11.5.2.49][14] [D]

Reference: [11.5.2.49][15] [C]

Reference: [11.2.1.15]

[16] [A]

Reference: [11.2.1.15][17] [B]

Reference: [11.2.1.15][18] [C]

Reference: [7.3.2.46][19] [D]

Reference: [7.3.2.46][20] [B]

Reference: [7.3.2.46][21] [B]

Reference: [7.3.2.49][22] [A]

Reference: [7.3.2.49][23] [C]

Reference: [7.3.2.49][24] [A]

Reference: [7.6.2.85][25] [C]

Reference: [7.6.2.85][26] [C]

Reference: [7.6.2.85][27] [A]

Reference: [7.4.2.58][28] [A]

Reference: [7.4.2.58][29] [B]

Reference: [7.4.2.58][30] [B]

Reference: [11.4.2.38][31] [D]

Page 22: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

Reference: [11.4.2.38][32] [A]

Reference: [11.4.2.38][33] [B]

Reference: [11.2.2.19][34] [A]

Reference: [11.2.2.19][35] [A]

Reference: [11.2.2.19][36] [A]

Reference: [7.7.1.92][37] [B]

Reference: [7.7.1.92][38] [B]

Reference: [7.7.1.92][39] [D]

Reference: [7.7.1.103][40] [C]

Reference: [7.7.1.103][41] [A]

Reference: [7.7.1.103][42] [D]

Reference: [7.6.2.83][43] [D]

Reference: [7.6.2.83][44] [C]

Reference: [7.6.2.83][45] [B]

Reference: [8.3.1.33][46] [B]

Reference: [8.3.1.33]

[47] [B]

Reference: [8.3.1.33][48] [D]

Reference: [8.2.1.19][49] [D]

Reference: [8.2.1.19][50] [C]

Reference: [8.2.1.19][51] [C]

Reference: [8.1.1.1][52] [B]

Reference: [8.1.1.1][53] [D]

Reference: [8.1.1.1][54] [C]

Reference: [8.3.1.35][55] [C]

Reference: [8.3.1.35][56] [B]

Reference: [8.3.1.35][57] [B]

Reference: [11.2.1.13][58] [A]

Reference: [11.2.1.13][59] [A]

Reference: [11.2.1.13][60] [D]

Reference: [7.5.1.63][61] [B]

Reference: [7.5.1.63][62] [B]

Page 23: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

Reference: [7.5.1.63][63] [D]

Reference: [8.4.1.46][64] [C]

Reference: [8.4.1.46][65] [B]

Reference: [8.4.1.46][66] [D]

Reference: [8.3.2.37][67] [B]

Reference: [8.3.2.37][68] [A]

Reference: [8.3.2.37][69] [A]

Reference: [8.5.1.58]

[70]40

19

Reference: [8.5.1.58][71] 44

Reference: [8.5.1.58]

[72]75

2

Reference: [9.1.1.9][73] [A]

Reference: [9.1.1.9][74] [C]

Reference: [9.1.1.9][75] [B]

Reference: [9.1.1.7][76] [C]

Reference: [9.1.1.7][77] [B]

Reference: [9.1.1.7][78] [D]

Reference: [9.2.1.17][79] [D]

Reference: [9.2.1.17][80] [B]

Reference: [9.2.1.17][81] [C]

Reference: [9.3.1.29][82] [A]

Reference: [9.3.1.29][83] [B]

Reference: [9.3.1.29][84] [B]

Reference: [9.5.2.57][85] [B]

Reference: [9.5.2.57][86] [C]

Reference: [9.5.2.57][87] [B]

Reference: [10.7.1.80][88] [D]

Reference: [10.7.1.80][89] [A]

Reference: [10.7.1.80][90] [D]

Reference: [9.5.2.58][91] [C]

Page 24: 1. Given: BD is tangent to circle O at C D mAEC 276 ACE 98 ... Sping...A O B D C [A] 27.4 [B] 24.8 [C] 48.8 [D] 14.1 6. Find the diameter of the circle (not drawn to scale). BC 14

Reference: [9.5.2.58][92] [C]

Reference: [9.5.2.58][93] [A]

Reference: [10.3.1.25][94] [B]

Reference: [10.3.1.25][95] [A]

Reference: [10.3.1.25][96] [C]

Reference: [8.4.1.45][97] [C]

Reference: [8.4.1.45][98] [A]

Reference: [8.4.1.45][99] [A]

Reference: [10.4.2.42][100] [B]

Reference: [10.4.2.42][101] [C]

Reference: [10.4.2.42][102] [A]

Reference: [10.8.1.86][103] [D]

Reference: [10.8.1.86][104] [A]

Reference: [10.8.1.86][105] [A]

Reference: [9.4.1.44][106] [D]

Reference: [9.4.1.44][107] [A]

Reference: [9.4.1.44][108] [C]


Recommended