MS 101 Alg & Trig test four • • Name:

  1. A pentagon is inscribed in a circle centered at (0,0) with a radius of 100. Determine the SVG coordinates of the vertices of the pentagon A, B, C, D, E. Write the coordinates in the SVG coordinate system, not the xy algebraic coordinate system.
    pentagon
    1. __________, __________
    2. __________, __________
    3. __________, __________
    4. __________, __________
    5. __________, __________
  2. Use SVG and the coordinates above to draw the pentagon inscribed in a circle with a radius of 100. Call me over when you are done so I can see your diagram on your computer.
  3. A RipStik was ridden twice across a three sheets of poster paper. The total distance across all three sheets was 240 centimeters. In English, each ride across the paper is referred to as a "run." The first run, labeled A, is the upper of the two runs. The second run, labeled B, is the lower of the two runs.
    RipStik swizzle sine wave A B 0 20 40 60 80 100 120 140 160 180 200 220 240 70 ― 60 ― 50 ― 40 ― 30 ― 20 10 ― 0 ― -10 ― -20 ― -30 ―
    1. _____ How many waves in run A (wavelengths)?
    2. _____ How many waves in run B (wavelengths)?
    3. _____ Which run has the longer wavelength, A or B?
    4. _____ Which run has the larger amplitude, A or B?
    5. λA = _______________ Estimate the wavelength λ of run A.
    6. λB = _______________ Estimate the wavelength λ of run B.
    7. aA = _______________ Estimate the amplitude a of run A.
    8. aB = _______________ Estimate the amplitude a of run B.
    9. b = _______________ Given that b= 2π λ , calculate the value of b for run A.
    10. y = ______ sin( _________ x). Given the general form y = a sin(bx) and the results above, write the y = a sin(bx) equation for run A.
  4. A spring oscillates up and down. The distance from the top to the bottom of the oscillation is 10 centimeters. The spring oscillates 30 times in 15 seconds.
    1. __________ Determine the amplitude.
    2. __________ Determine the period.
    3. __________ Calculate the frequency.
    4. __________ Calculate "b".
    5. y = ______ sin( _________ x). Write the y=a sin(bx) equation for the spring.