Unit conversion - math word problems - page 120 of 129
Number of problems found: 2569
- Map 3
Map scale is M = 1: 50000 . Two cottages which are shown on the map are actually 19 km away. What is its distance on the map? - Diagonals in the diamond
The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m². Determine the sizes of the diagonals. - Saw
Blade circular saw with a diameter 42 cm turns 825 times per minute. Express its cutting speed in meters per minute. - Potatoes
Could 446 tons of potatoes (ρ = 771 kg/m³) fit in a warehouse with a volume of 699 m³? - Wheel
How many times turns the wheel of a passenger car in one second if the vehicle runs at speed 52 km/h? Wheel diameter is d = 60 cm. - Hairs
Suppose the length of the hair is affected by only the α-keratin synthesis, which is the major component. This synthesis takes place in the epithelial cells of the hair bulb. The structure of α-keratin is made up of α-helix for the 3.6 amino acid residues - De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers. - Theatre
The theatrical performance started at 10:50 and ended at 13:50. How many minutes long? - Liters in cylinder
Determine the height at which level 18 liters of water in a cylindrical container having a bottom diameter 24 cm. - Vector sum
The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v? - Tetrapack
How high should the milk box be in the shape of a prism with base dimensions 8 cm and 7.2 cm if its volume is 1 liter? - Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up? - Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°. - Knight
Knight passed 36 km long track in 144 minutes. What was his average speed? - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (-1, 24) and v = (-8, -21) - Trains
From station 130 km away started passenger train and after 2.7 hours after the express train, which travels 20 km an hour more. Express train finish journey 12 minutes early. Calculate the average speed of these two trains. - Cable car 2
The cable car rises at an angle of 16° and connects the upper and lower station with an altitude difference of 1082 m. How long is the cable car's track? - House roof
The house's roof is a regular quadrangular pyramid with a base edge 20 m. If the roof pitch is 38° and we calculate 12% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof? - Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone. - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees.
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