# Geometry - problems

- Angle between lines

Calculate the angle between these two lines: ? ? - Distance

Calculate distance between two points Z[7; -9] and U[-10; -8]. - Linear independence

Determine if vectors u=(3; -3) and v=(0; 3) are linear Linear dependent. - Line

Line p passing through A[-10, 1] and has direction vector v=(2, 4). Is point B[-20, -19] on the line p? - Map 2

At what scale is made map if the distance 6.8 km corresponds on the map segment 4 cm long? - 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? - Angle

A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis. - Parametric equation

Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2. - Speed of Slovakian trains

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 - Circumscribing

Determine the radius of the circumscribed circle to the right triangle with legs 3 cm and 10 cm. - Airplane navigation

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)? - Square side

Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -5x +7y +20 =0. - Slope

What is the slope of the line defined by the equation -4x -2y = -7 ? - Distance

Wha is the distance between the origin and the point (23; -7)? - Slope

Calculate the slope of a line that intersects points (38,-23) and (-93,5). - Mine

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? - V - slope

The slope of the line whose equation is 8x +8 = 0 is - 3d vector component

The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3? - Right triangle - leg

Calculate to the nearest tenth cm length of leg in right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Triangle midpoints

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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