tama – 130 final exam review fall - 2007. tama – 130 final exam review the following...
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Tama – 130 Final Exam Review
Fall - 2007
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Tama – 130 Final Exam Review
The following information represents the content of the final exam.
The numbers are different, but the concepts are the same.
Use this as a review. If you can solve these problems, you are in
good shape.
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Geometric Terms: Parallel Lines Perpendicular Lines Vertex Adjacent angles Circumference Chord Diameter and Radius
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Tama – 130 Final Exam Review
Type of angles: Acute Obtuse Right Straight Reflex Complementary Supplementary
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Tama – 130 Final Exam Review
Types of Angle Applications: Transversals Alternate Interior Alternate Exterior Corresponding Central angles Inscribed angles
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Tama – 130 Final Exam Review
Interior angles: (prob. 1)
145
95
59
"X"
62
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Tama – 130 Final Exam Review
Trapezoids: (prob. 2) Height is 4’ Find GD
6'
10'
A
E
B C
F
DG
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Tama – 130 Final Exam Review
Determine the belt length: (prob. 3)
62.0 inches
ø 14 inø 14 in.
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Tama – 130 Final Exam Review
Finding specific angles: (prob. 4) Arc BCA = 200° Find Angle EAB
EA
D
BC
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Tama – 130 Final Exam Review
Finding geometric distances: (prob. 5)
ø 4"
ø 6.5""X"
"Y"
"Z"P
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Tama – 130 Final Exam Review
Finding Areas: Area of a Cube Area of a Rectangle Area of a Parallelogram Area of a Trapezoid Area of a Triangle Area of a Circle Area of an Ellipse
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Tama – 130 Final Exam Review
Areas of Sectors and Segments: (prob. 6) Area of the Circle Area of the Sector Area of the Triangles Area of the Segment AB = 16” CO = 6”
A B
O
C
80
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Tama – 130 Final Exam Review
Volumes: Cylinders Cones One gallon:
equals 231 cubic inches 7.5 gallons equals one cubic foot
27 cubic feet equals one cubic yard 1728 cubic inches equals one cubic foot
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Tama – 130 Final Exam Review
Finding Arc Lengths: (prob. 7) Diameter equals 10 inches Angle BAO equals 50° Find Arc ACB A B
O
C
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Tama – 130 Final Exam Review
Finding Exterior Angles: (prob. 8) Arc AC equals 70° Arc BC equals 140° Find Angle ADC
A
B
CD
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Tama – 130 Final Exam Review
Finding Angles with Parallel Lines: (prob. 9) Find “X” Find “Y”
120
140
A
B
C
D
E
F
G
H
"X"
"Y"
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Tama – 130 Final Exam Review
Finding Surface Areas: (prob. 10)
180'
160'
120'
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Tama – 130 Final Exam Review
Change degrees, minutes, and seconds to decimal degrees (prob. 11) i.e. 37 ° 29’ 52”
Change decimal degrees to degrees, minutes, and seconds (prob. 12) i.e. 63.7236°
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Tama – 130 Final Exam Review
Finding Angles: (prob. 13) Find angle CAD
88
18
28
A B
C
DE
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Tama – 130 Final Exam Review
Finding Angles: (prob. 14) Find angle COB
A C B
O
63.43°
135.00°
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Tama – 130 Final Exam Review
Determine Circumferences and Arc Lengths: Circumference equals ∏ times the Diameter Circumference equals ∏ times 2 times the radius Arc length equals the circumference times the
angle times divided by 360°
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Tama – 130 Final Exam Review
Using Tangent Information to Solve Triangles: (prob. 15)
Solve for OB
4.00"
3.00"
R 1.00"
A
B
O
C
D
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Tama – 130 Final Exam Review
Find the area of the following figure: (prob. 16)
120.00 mm
40.00 mm
70.00 mm45.00°
40.00 mm
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Tama – 130 Final Exam Review
GOOD LUCK!
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Tama – 130 Final Exam Review
Answers to the problems on the slides: Prob. 1…117° Prob. 2…9’ Prob. 3…168” Prob. 4…80° Prob. 5a…X = 5.25” Prob. 5b…Y = 8.5” Prob. 5c…Z = 10.5”
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Tama – 130 Final Exam Review Prob. 6a…Area circle = 314.16 sq in
Prob. 6b…Area sector = 69.81 sq in
Prob. 6c…Area of Triangles = 48 sq in
Prob. 6d…Area of Segment = 21.81 sq in
Prob. 7…4.36” Prob. 8…35° Prob. 9a…X = 40° Prob. 9b…Y = 60°
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Tama – 130 Final Exam Review Prob. 10…4398.24 sq ft Prob. 11…37.4978° Prob. 12…63° 43’ 25” Prob. 13…10° Prob. 14…71.57° Prob. 15…1.414” Prob. 16…7413.72 mm²