Square (second power, quadratic) + power - math problems

  1. The tickets
    oriesky The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
  2. Substitution method
    500px-Sine_cosine_plot.svg Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
  3. Precious metals
    gold_3 In 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, an silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41.3
  4. Cube surface and volume
    cube_shield_6 Find the surface of the cube with a volume of 27 dm3.
  5. Find the 2
    square_4 Find the term independent of x in the expansion of (4x3+1/2x)8
  6. Cube
    cubes_14 One cube has edge increased 5 times. How many times will larger its surface area and volume?
  7. Cube 6
    cubes_20 Volume of the cube is 216 cm3, calculate its surface area.
  8. Chord AB
    chord_3 What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm?
  9. Sale
    sale_percent If the product twice price cut by 25%, what percentage was price cut in total?
  10. Rectangular cuboid
    cuboid_1 The rectangular cuboid has a surface area 5334 cm2, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
  11. Pool
    pool If water flows into the pool by two inlets, fill the whole for 8 hours. The first inlet filled pool 6 hour longer than second. How long pool take to fill with two inlets separately?
  12. Powers
    math_fun Is true for any number a,b,c equality:? ?
  13. Binomials
    two_persons To binomial ? add a number to the resulting trinomial be square of binomial.
  14. Widescreen monitor
    lcd Computer business hit by a wave of widescreen monitors and televisions. Calculate the area of ​​the LCD monitor with a diagonal size 20 inches at ratio 4:3 and then 16:9 aspect ratio. Is buying widescreen monitors with same diagonal more advantageous th
  15. Circle chord
    circleChord What is the length d of the chord circle of diameter 51 mm, if the distance from the center circle is 19 mm?
  16. Triangle SAS
    triangle_iron Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.

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