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TG Final Exam Review

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  • Find x.
    6
  • Find the area of the sector in terms of pi.
    (32π/3)
  • The area of a triangle is 108. If the height is 12, find the length of the base.
    18
  • Find x
    7.5
  • Jenna stands 10 ft from the building and looks at the top with an angle of elevation of 70˚. Find the height of the building.
    27.47 ft
  • Find OB.
    5
  • Find the distance between (-3, -7) and (-2, 9).
    √257
  • Find AC.
    11.43
  • Find c.
    12√3
  • Find the vertex of the parabola given by y = x^2 - 12x + 31.
    (6, -5)
  • Find the geometric mean between 18 and 9. (Simplest √ form)
    9√2
  • Identify the center and radius of the circle: (x + 1)^2 + (y - 5)^2 = 144
    (-1, 5), r = 12
  • A triangle is dilated by a scale factor of 4. If the original coordinates were (3, 2), (-4, 1), and (-6, -11), find the coordinates of the new triangle.
    (12, 8), (-16, 4), (-24, -44)
  • Find the measure of the indicated angle.
    28˚
  • The points (-4, 3) is rotated 90˚ clockwise about the origin. What are the new coordinates?
    (3,4)
  • Find x.
    2
  • Find the area of a regular hexagon with a perimeter of 48.
    72√3
  • What type of triangle (acute, obtuse, right) is created by the sides 8, 9, and 15?
    obtuse
  • A 25-foot ladder is leaning against a wall. The base of the ladder is 7 ft from the wall. How high up the wall does the ladder reach?
    24
  • Find the midpoint between (-4, 14) and (6, -8).
    (1, 3)
  • A rhombus has diagonals 18 and 7. Find the area.
    63
  • Find x.
    43
  • Find the area.
    26
  • Find the m<B.
    60˚
  • Two similar hexagons have a scale factor of 3:5. If the area of the smaller hexagon is 72, find the area of the larger hexagon.
    200