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Number of problems found: 169
- Camp
In a class are 36 children. During the holidays, 20 children were in the camps, and 18 children were on holiday with their parents. Find the minimum and the maximum number of children that may have been in the camp and on holiday with their parents at the - Glasses
Imagine a set of students in your class (number of students: 15) who wears glasses. How many minimum and maximum elements may contain this set? - Fall
The body was thrown vertically upward at speed v0 = 39 m/s. Body height versus time describes equation h = v0 * t - (1)/(2) * 9.8 * t². What is the maximum height of body reach? - Statue
On the pedestal, high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m.
- Fixed expenses 2013
Since 2013, the Slovak government has had plans to tax more small one-person businesses. Instead of fixed expenses, 40% will be fixed expenses 40% of gross income up to 420 Eur. Calculate the percentage of fixed expenses that will be paid in 2013 from gro - Glass of juice
The glass of juice-shaped cylinder 13 cm height and base diameter of 9 cm is filled with juice so that the level is 3 cm below the rim of the glass. Determine the maximum angle of the cup that we can tilt so the juice doesn't overflow. - Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible. - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area. - Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 167 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea
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