Latest word problems - page 6 of 11
Number of problems found: 204
- Morse code 2
We have two characters, a dot and a comma. How many two-element and how many three-element characters can be created with repetition?
- Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height to side AB is 4 cm. Point P is the base of the altitude to side AD. Calculate the area of the triangle ABP.
- Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12cm and a height of the prism equal to the diameter of the circle circumscribed by the base?
- View angle
From a tower 20 m high and 20 m away from the river, the width of the river appears to be at an angle of 15°. How wide is the river at this location?
- Tunnel - quadrilateral
How long will the tunnel AB be, distances AD=35 m, DC=120 m, CB=85 m, and angles ADC=105 degrees and BCD=71 degrees. ABCD is a quadrilateral.
- 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid: a = 6 cm and the body height is 12 cm.
- 4 bags
Paul had four textile bags. Each bag contained 9 marbles. How many marbles did he have in total?
- Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram.
- Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an interest rate of 10% p. . a., he paid €19,000 for it. How much € of interest was deducted from the face value of the bill?
- Tractor 19
A tractor plows a field in 48 hours using a plow with 5 blades. How long will it take it to plow the same field with a plow with 6 blades of the same width, while maintaining the same tractor speed?
- Salad - delicacy
The customer paid € 1.50 for 300g of salad. How much € will he pay for 500 g of salad?
- Painting a column
How many kg of paint do we need to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m long and a height to the base edge of 2 m, if 1 kg of paint is enough for 25 m² of paint? The column is 10 m high.
- Measuring cylinder
A measuring cylinder has a base radius of 35mm and a height of 500mm. Calculate the surface area wetted by the liquid if the level reaches a height of 35cm.
- 9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total?
- Similarity coefficient
Given triangle ABC with sides a = 12 cm b = 9 cm c = 7 cm and triangle DEF with sides d = 8.4 cm, e = 6.3 cm f = 4.9 cm Find out if triangles ABC and DEF are similar if so, write the similarity coefficient and according to which sentence they are similar
- Women in the company
1467 women work in a factory. Women make up 46% of all employees in the factory. How many employees work in the factory?
- Calculate 423
Calculate the volume and surface area of a cylinder if its height is 40 dm and the diameter of the base is 3 m.
- Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body of radius r= 0.08 meter and mass m= 1.5kg at time t= 5 s, if this body rotates around an axis passing through the center of the cylinder with a constant acceleration Ԑ= 5 rad/s², if at time t=.
- Water + temperature
We supplied 1365 kJ of heat to water weighing 5 kg and initially at 20°C. To what temperature did it heat up?
- Footballers 2
Footballers have jerseys with numbers 7, 8, 9, 10, 11. The coach wants to send them to attack a) so that even jersey numbers are not next to each other b) so that odd jersey numbers are not next to each other. How many options does he have?
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