Latest word problems - page 12 of 19
Number of problems found: 376
- Between terminals
Between terminals of a 220V resistor. A current of 220mA flows through the resistor. Determine the current that flows through the resistor if we connect it to the terminal of a 24 V voltage source.
- Reward - division
Mom promised the children a reward of 330 euros for their help. How should they divide the money if Juraj helped for 10 days, Ema for 8 days, and Hanka for 12 days?
- The tower
From a window 8 m above the horizontal plane, we can see the top of the tower at an elevation angle of 53 degrees 20 minutes, and its base at an angle of 14 degrees 15 minutes. How high is the tower?
- Two Sections
A sphere with a radius of 5 cm was divided into two spherical sections. The height of the smaller section is 1cm. Determine the volume of the smaller section to the nearest hundredth of a cm³.
- Volume of gasoline
There is 1200 kg of gasoline in the tank. The density of gasoline is 0.75 g/cm³. Calculate the volume of gasoline.
- To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors to the cinema during these three days. How many were there each day?
- HAMMER 4
Determine how many ways can the letters of the word HAMMER be rearranged so that in this rearrangement some group of consecutive letters forms the word CAL.
- On a mass
The forces F1, and F2 with magnitudes of 40N act on a mass point M. Their resultant has a magnitude of 60N. Determine the angle that the forces F1 and F2 make.
- Members 2
The members of a housing cooperative elected a seven-member board. In how many ways can a chairman, vice-chairman, treasurer, and recorder be chosen from among them?
- Books in Slovak and English
Vlasta has 4 Czech and 3 English books. She wants to arrange them on a shelf so that Slovak books are first and then English books are second. How many ways are there to do this?
- Birthday boy 2
In how many ways can seven people be seated around a table so that the birthday boy sits at the head?
- HAMMER 3
Determine how many ways it is possible to rearrange the letters of the word HAMMER so that in this rearrangement some group of consecutive letters forms the word WATER.
- Base RR odd
The base of the prism is an isosceles trapezoid ABCD with bases AB = 12 cm, and CD = 9 cm. The angle at vertex B is 48° 10'. Determine the volume and area of the prism if its height is 35 cm.
- Relay
The relay race will be run for the class of Katka, Alice, Michaela, and Erika. Determine how many different orders there are in which the girls can run, as long as each of them can run in any position.
- Police on time
A boat with smugglers has left the shore and is traveling at a speed of 85 km/h. In 10 minutes, a police boat starts chasing it at a speed of 110 km/h. International waters, where the possibility of apprehending smugglers ends, begin 30 km from the coast.
- All zeros
How many zeros does the product of the numbers 10.11.12.13.14.15.20.21.22.23.24.25 end with?
- Map - route
The map has a scale of 1:40000. In how many centimeters will the route, which measures 4.8 km, be shown on it?
- In an aquarium 3
In an aquarium 60cm long and 30cm wide, water is poured to a height of 25cm. Determine the mass of the water in the aquarium.
- Parallelogram 43
A parallelogram has a perimeter of 20.4 m. One of its sides is 5.5 cm long. Calculate the length of the other side.
- Tanker 3
A gasoline tank weighs 4500kg. If we pump 30% of the gasoline out of the tank, it will weigh 3900kg. How many kilograms does an empty tank weigh?
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