Algebra - math word problems

  1. Reciprocal
    inverse It is true (prove it) that if a> b> 0: ?
  2. Arc and segment
    odsek_kruh Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 11 and corresponding angle is ?.
  3. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  4. Diofant 2
    1diofantos Is equation ? solvable on the set of integers Z?
  5. Pumps
    pool_pump The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than two one. How many minutes is filled with the first pump?
  6. Biquadratic
    bikvadraticka By introducing a new variable solve biquadratic equation: ?
  7. Determine the number
    fib2 Determine the number x that ?.
  8. Subsets
    1venna_sets How many are all subsets of set ??
  9. Quadratic equation
    parabola Determine the numbers b, c that the numbers x1 = -1 and x2 = 3 were roots of quadratic equation: ?
  10. Diofant equation
    diofantos In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
  11. 3-bracket 2
    1triangle May be the smallest angle in the triangle greater than 40°?
  12. 3-bracket
    triangle2 May be the largest angle in the triangle less than 20°?
  13. 3-bracket 3
    triangle_3 Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
  14. Rectangular field
    field One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m2 . Determine dimencions of the field.
  15. Euler problem
    euler Someone buys a 180 tolars towels. If it was for the same money of 3 more towels, it would be 3 tolars cheaper each. How many were towels?
  16. Number
    sqrt_2 Is number 5.146852 irrational?
  17. Special cube
    cube3 Calculate the edge of cube, if its surface and its volume is numerically equal number.
  18. Rates
    gas_meter When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m3 of gas a flat monthly fee of 3.9 € (regardless of consumption) rate B - which pays 0.359 € per 1 m3 of gas a flat monthly fee of 12.5 € From what month
  19. Exponential equation
    exp In the set R solve the equation: ?
  20. Proof I
    ithinkiam When added to the product of two consecutive integers larger one, we get square larger one. Is this true or not?

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