Square practice problems - page 41 of 153
Number of problems found: 3052
- Train speed
The train speed is decreased from 72 km/h to 36 km/h in 50 seconds. If the train movement is continuously slowing, find the acceleration and the distance it travels. - Seed drills
The tractor driver connected two seed drills behind the tractor and sowed 7 ha of grain in 5 hours. How many hectares did he plant in 8 hours the next day if he connected three seed drills? - Heating Liquid Graph Analysis
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600 W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the ta - Pool
Water flows into a pool through two inlets and fills it in 5 hours. If the first inlet alone takes 5 hours longer than the second inlet alone, how long does each inlet take to fill the pool on its own? - Salami
We have six kinds of salami, six of which have ten pieces, and one of which has four pieces. How many ways can we distinctly choose five pieces of salami? - Acceleration of a train
The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h? - Observatories A,B
The target C is observed from two artillery observatories, A and B, 296 m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target C from observatory A. - Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm? - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - A ship
A ship has been spotted by two lighthouses, A and B, as shown in the figure. What is the distance from the ship to Lighthouse A to the nearest tenth? Figure - the distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° - Gimli Glider
A Boeing 767 loses both engines at an altitude of 35000 feet. The captain maintains optimal gliding conditions, losing 2100 feet per minute while maintaining a constant airspeed of 201 knots. Calculate how long it takes for the plane to reach the ground f - Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (6t²+ 4t ; 3t + 1) where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the position of - Vectors 5
The position vector of a material point moving in a plane can be expressed in the introduced reference frame by the relation: r(t) = (2t + 3t²; 6t + 3), where t is time in seconds and the coordinates of the vector are in metres. Calculate: a) what is the - Position vector The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (1 + 5t + 2t² ; 3t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the posit
- Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (t²+ 2t + 1 ; 2t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the positio - Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [-17; 10; 9] m1 = 23 kg A2 [-16; -19; 0] m2 = 31 kg A3 [4; -14 - Probability - triangles
We have five lines with lengths of 3 cm, 5 cm, 7 cm, 9 cm, and 11 cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Square point distance
I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage. - Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations - Square grid
A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid.
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