Geometry - problems

  1. Angle between lines
    angle_two_lines Calculate the angle between these two lines: ? ?
  2. Distance
    distance Calculate distance between two points Z[7; -9] and U[-10; -8].
  3. Linear independence
    colinear_vectors Determine if vectors u=(3; -3) and v=(0; 3) are linear Linear dependent.
  4. Line
    img2 Line p passing through A[-10, 1] and has direction vector v=(2, 4). Is point B[-20, -19] on the line p?
  5. Map 2
    world_map_atlas At what scale is made map if the distance 6.8 km corresponds on the map segment 4 cm long?
  6. Vectors
    vectors Vector a has coordinates (7; 16) and vector b has coordinates (15; -7). If the vector c = b - a, what is the magnitude of the vector c?
  7. Angle
    atan A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis.
  8. Parametric equation
    line Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
  9. Speed of Slovakian trains
    zssk_train Rudolf decided to take the train from the station 'Nová Baňa' to 'Gelnica'. In the train timetables found train R 371 Horehronec : km0Břeclav os.n.05:268Lanžhot05:3205:3214Brodské05:3705:3818Kúty05:4205:4344Malacky05:5906:0082Bratislava hl.st.06:2606:37
  10. Circumscribing
    thales Determine the radius of the circumscribed circle to the right triangle with legs 3 cm and 10 cm.
  11. Airplane navigation
    triangle_airplane An airplane leaves an airport and flies due west 120 miles and then 150 miles in the direction S 23.32°W. How far is the plane from the airport (round to the nearest mile)?
  12. Square side
    square_analytic_geometry Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -5x +7y +20 =0.
  13. Slope
    slope What is the slope of the line defined by the equation -4x -2y = -7 ?
  14. Distance
    origin_math Wha is the distance between the origin and the point (23; -7)?
  15. Slope
    lines.JPG Calculate the slope of a line that intersects points (38,-23) and (-93,5).
  16. Mine
    bana What is temperature in the mine at a depth of 1575 m, where at depth 30 m is 16°C and every 30 m, the temperature increases by 0.8°C?
  17. V - slope
    verticals The slope of the line whose equation is 8x +8 = 0 is
  18. 3d vector component
    vectors_1 The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
  19. Right triangle - leg
    pythag_triangle Calculate to the nearest tenth cm length of leg in right-angled triangle with hypotenuse length 9 cm and 7 cm long leg.
  20. Triangle midpoints
    sierpinski-geometry Determine coordinates of triangle ABC vertices if we know tirangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC.

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