Quadratic equation + expression of a variable from the formula - math problems

Number of problems found: 152

  • Cuboid and eq2
    Calculate the volume of cuboid with square base and height 6 cm if the surface area is 48 cm2.
  • Body diagonal
    The cuboid has a volume of 32 cm3. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
  • Right triangle eq2
    Hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.
  • Square vs rectangle
    Square and rectangle have the same area contents. The length of the rectangle is 9 greater and width 6 less than side of the square. Calculate the side of a square.
  • Two trucks
    Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A, B is 90 km.
  • Combinations
    If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
  • Cuboid - ratios
    The sizes of the edges of the cuboid are in the ratio 2: 3: 5. The smallest wall has an area of 54 cm2. Calculate the surface area and volume of this cuboid.
  • Rectangle diagonals
    It is given a rectangle with an area of 24 cm2 a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
  • Four integers
    Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
  • MO SK/CZ Z9–I–3
    John had the ball that rolled into the pool, and it swam in the water. Its highest point was 2 cm above the surface. The diameter of the circle that marked the water level on the surface of the ball was 8 cm. Find the diameter of John ball.
  • Square and rectangle
    Calculate the side of a square which content area equals area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
  • Diagonal of the rectangle
    Calculate the rectangle's diagonal, which area is 54 centimeters square, and the circuit is equal to 30 cm.
  • Rectangle
    Calculate area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
  • Unknown number 4
    I think number. When I divided its square root by its 1/9, I get a number 1. What number am I thinking?
  • Unknown number 7
    Calculate unknown number whose 12th power when divided by the 9th power get a number 27 times greater than the unknown number. Determine the unknown number.
  • Solve equation
    solve equation: [(a2)+3]1/2 + [(a2)-3]1/2 = 5
  • Trapezoid
    trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area?
  • Blueberries 2
    Lenka and Martin collected eight liters of blueberries in two hours. How long will take to collect blueberries by Lenka itself, if we know that she collect all 2.5 hours less than Martin?
  • Euclid theorems
    Calculate the sides of a right triangle if leg a = 6 cm, and a section of the hypotenuse, which is located adjacent to the second leg b is 5cm.
  • A mast
    A mast 32 meters high was broken by the wind so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part and the ground form a rectangular triangle. At what height was the mast broken?

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