# Absolute value - examples

- Triangle

Triangle KLM is given by plane coordinates of vertices: K[-19, -8] L[8, -12] M[2, -6]. Calculate its area and itsinterior angles. - 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 - Crossroads

The rectangular crossroads comes passenger car and an ambulance, the ambulance left. Passenger car is at 45 km/h and ambulance 58 km/h. Calculate such a relative speed of the ambulance moves to the car. - 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)? - Vector

Calculate length of the vector v⃗ = (-2.5, 6.25, -4.25). - Circle

Circle is given by centre on S[-9; 4] and maximum chord 20 long. How many intersect points have circle with the coordinate axes? - Segments

Which of the pairs of numbers on the number line encloses the longest segment: ? - Equilateral cylinder

Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 221 cm^{3}. Calculate the surface area of the cylinder. - Goniometric form

Determine goniometric form of a complex number ?. - Cube - wall

V kocke ABCDEFGH je ?. Aký je povrch kocky? - Unit vector 2D

Determine coordinates of unit vector to vector AB if A[19; 10], B[-12; -6]. - 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? - Two cars

Car A1 goes at average speed of 133 km/h and the second car A2 goes at 128 km/h. How many second will it take car A1 to circulate car A2? Assume that both cars are 4.7 meters long and the safety gap between cars is 2.7 meters. - Product

The sum and the product of three integers is 6. Write largest of them. - 3d vector component

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

For how many integer values of x can 8, 11 and x be the lengths of the sides of triangle? - 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. - Null points

Calculate the roots of the equation: ? - ABS

What is the value of ? ? - Moivre 2

Find the cube roots of 125(cos 288° + i sin 288°).

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