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Number of problems found: 6224

  • Triangle in circle
    The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
  • Gon functions
    Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1.
  • Cuboid
    Find the dimensions a, b, and c of a cuboid whose space diagonal is d = 6 dm and makes an angle α = 35° with edge a and an angle β = 66° with edge b.
  • Forces
    At point G, three mutually perpendicular forces act: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant force F and the angles between F and each of F₁, F₂, and F₃.
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