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Tama – 130 Final Exam Review. Fall - 2007. 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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Tama – 130 Final Exam Review Fall - 2007
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.
Geometric Terms: • Parallel Lines • Perpendicular Lines • Vertex • Adjacent angles • Circumference • Chord • Diameter and Radius
Tama – 130 Final Exam Review • Type of angles: • Acute • Obtuse • Right • Straight • Reflex • Complementary • Supplementary
Tama – 130 Final Exam Review • Types of Angle Applications: • Transversals • Alternate Interior • Alternate Exterior • Corresponding • Central angles • Inscribed angles
Tama – 130 Final Exam Review • Interior angles: (prob. 1)
Tama – 130 Final Exam Review • Trapezoids: (prob. 2) • Height is 4’ • Find GD
Tama – 130 Final Exam Review • Determine the belt length: (prob. 3)
Tama – 130 Final Exam Review • Finding specific angles: (prob. 4) • Arc BCA = 200° • Find Angle EAB
Tama – 130 Final Exam Review • Finding geometric distances: (prob. 5)
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
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”
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
Tama – 130 Final Exam Review • Finding Arc Lengths: (prob. 7) • Diameter equals 10 inches • Angle BAO equals 50° • Find Arc ACB
Tama – 130 Final Exam Review • Finding Exterior Angles: (prob. 8) • Arc AC equals 70° • Arc BC equals 140° • Find Angle ADC
Tama – 130 Final Exam Review • Finding Angles with Parallel Lines: (prob. 9) • Find “X” • Find “Y”
Tama – 130 Final Exam Review • Finding Surface Areas: (prob. 10)
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°
Tama – 130 Final Exam Review • Finding Angles: (prob. 13) • Find angle CAD
Tama – 130 Final Exam Review • Finding Angles: (prob. 14) • Find angle COB
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°
Tama – 130 Final Exam Review • Using Tangent Information to Solve Triangles: (prob. 15) • Solve for OB
Tama – 130 Final Exam Review • Find the area of the following figure: (prob. 16)
Tama – 130 Final Exam Review GOOD LUCK!
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”
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°
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