Absolute value - practice problems - last page

Number of problems found: 156

Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much?
Rectangle vs square
A rectangle has dimensions 15 × 10, and a square has dimensions 13 × 13. Which shape has a greater area, and by how much?
Square
Points A[9,9] and B[-4,1] are adjacent vertices of square ABCD. Calculate the area of square ABCD.
Compass
What is the angle between compass directions J (Juh) and ZSZ (ZápadoSeveroZápad)?
Angle between lines
Calculate the angle between the following two lines: p: -4x +7y +7 =0 q: -x +4y +7=0
Roots
Find the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x ² +9x + q = 0
3-bracket 3
Two angles of a triangle are 90° and 45°. Does the triangle have at least two equal sides?
The angle of lines
Calculate the angle between the two lines y = x-8 and y = +12.
Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm.
ABS CN
Calculate the absolute value of the complex number -6+19i.
Extreme temperatures
The USA hit an extreme heat wave. Calculate the percentage of the air temperature change from normal summer temperature 25 °C to 38 °C.
Geometric progression
Fill 3 numbers between 5 and 405 to form a geometric progression.
Slope of track
Calculate the average gradient (in per mille and in degrees) of the railway tracks between Prievidza (309 m above sea level) and Horná štubňa (624 m above sea level), given that the track is 37 km long.
Temperature calculus
Calculate the percentage of temperature stúpla if changed from 3°C to 7°C.
Crossroads
A passenger car and an ambulance approach a rectangular intersection, and the ambulance turns off. The passenger car is moving at 39 km/h and the ambulance at 41 km/h. Calculate the relative speed of the ambulance with respect to the car.
Speed of Slovakian trains
Rudolf took the train from the station 'Nitra' to 'Nové Zámky'. In the train timetables found train Os 5004 : km 0 Prievidza 14:25 4 Koš 14:30 14:31 9 Nováky 14:36 14:37 13 Zemianske Kostoľany 14:42 14:43 16 Bystričany 14:47 14:48 19 Oslany 14:51 14:51 23

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