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Final Review 7 ACC

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  • Calculate the slope of the line that passes through the two points (-1, 3) and (2, 5).
    2/3
  • What is the volume of a cone with a radius of 8 ft and a height of 18 ft rounded to the nearest tenth?
    1206.4 ft cubed
  • A map has a scale of 3cm:15km. If Patchogue and Manhattan are 18 cm apart on the map, how far apart are the actual cities?
    90 km
  • Given the linear function y=2x+4, what is the value of x, given the coordinate (x, 4)?
    x=0
  • Find the volume of a cylinder with a diameter of 16 cm and a height of 20 cm rounded to the nearest tenth.
    4021.2 cm cubed
  • The point A (2,4) maps onto A' (14, 28) under a dilation with respect to the origin. What is the constant of dilation?
    7
  • For the function defined by the equation y=2/3x-5 what is the output when the input is 6?
    y=-1
  • The area of triangle ABD is 24 square inches. Under what type of transformation could the area change?
    dilation
  • Two supplementary angles have the measurements 3x-10 degrees and 55 degrees. Find the value of x.
    x=45
  • Two complementary angles have measurements of 77 degrees and 8s+5 degrees. Find the value of s.
    s=1
  • Write the equation of the line that passes through the points (0,3) and (1,5).
    y=2x+3
  • Two vertical angles have measurements of 97 degrees and 8t+1 degrees. Find the value of t.
    t=12
  • Solve for x. -4(x+2)=-26+2x
    x=3
  • There are 31 students in Sasha's math class. 13 are girls. What is the approximate percent of girls in Sasha's math class?
    40%
  • Solve the linear system for x.       -5x+2y=14      y=3x+2
    x=10
  • Find the length of the hypotenuse of a right triangle with leg lengths of 21 in. and 20 in.
    c = 29 in.
  • Solve the system of equations for x and y.        2x+5y=-11        -8x-5y=-1
    (2,-3)
  • Evaluate. ( -2/5 - 0.25) · (-0.25)
    .1625
  • What is the solution to the following equation? 40= -2(p-3)
    p= -17
  • Two sides of a triangle are equal in length. The length of the third side exceeds the length of one of the other sides by 3cm. The perimeter of the triangle is 93 cm. Find the length of the three sides.
    30 cm, 30 cm, and 33 cm