# Latest word problems

#### Number of problems found: 823

• Hexagonal pyramid Calculate the volume and surface area of a regular hexagonal pyramid with a base edge a = 30 m and a side edge b = 50 m. In a regular quadrilateral pyramid, the height is 6.5 cm and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body. Round calculations to 1 decimal place.
• Diagonal BD Find the length of the diagonal BD in a rectangular trapezoid ABCD with a right angle at vertex A when/AD / = 8,1 cm and the angle DBA is 42°
• Inclined plane The body stays on an inclined plane and exerts a compressive force of 70N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100N acts on the body.
• Calculate 8 Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0.
• Calculate 7 Calculate the height of the trapezoid ABCD, where coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3]
• Expanded form What is the expanded form of 0.21?
• Height The content of the triangle is 35 cm2. The length of the base is 10 cm. Determine the length of the height on the base.
• Part-time workers Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received.
• Solutions, mixtures We have 2 liters of 20% solution available. How much 70% solution do we need to add to it to get a 30% solution?
• Copper wire What is the mass of 500 m of copper wire with a diameter of 1 mm, if ρ = 8.9 g/cm ^ 3? What is the volume of a quadrilateral oblique prism with base edges of length a = 1m, b = 1.1m, c = 1.2m, d = 0.7m, if a side edge of length h = 3.9m has a deviation from the base of 20° 35 ´ and the edges a, b form an angle of 50.5°.
• How many How many 75 cm long steps will a football player take during training, when he runs on a 50m square track and goes around the course 3 times? We need writing, sketch, calculation. .. .
• Long drive Calculate how much it costs to drive 150,000 km with an average consumption of 7 liters per 100 km and a fuel price of 1.2 € / l.
• On the floor You enter the room and there are 2 dogs, 4 horses, 1 giraffe and one duck on the bed, 3 chickens are flying over the chair. How many feet are on the floor?
• Dimensions of the trapezoid One of the bases of the trapezoid is one-fifth larger than its height, the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2
• Chimney and tree Calculate the height of the factory chimney, which casts a shadow 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long. A regular quadrilateral pyramid has a volume of 24 dm3 and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid Through the surface layers of the Earth, sound propagates 13 times faster than through air. During the geological survey, the charge exploded 1.7 km from the measuring station. How long does it take between the vibration of the soil at the measuring point Each time the prince crossed the bridge, the number of tolars in the magic bag doubled. But then the devil always conjured 300 tolars for him. When this happened for the third time, the prince had twice as much as he had in the beginning. How many tolars