Unit conversion - math word problems - page 125 of 135
Number of problems found: 2692
- Diagonals in the diamond
The length of one diagonal in a diamond is 19 cm greater than the length of the second diagonal, and the diamond area is 32 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 338 tons of potatoes (ρ = 719 kg/m³) fit in a warehouse with a volume of 648 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 - Znojmo
From Znojmo to Brno, the truck with a trailer started at an average speed of 52 km per hour. Against him, 11 minutes later from Brno started the car with an average speed of 1.7-times greater than the truck. How long and how far from Znojmo do they meet i - 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°. - Two cars
Car A1 goes at an average speed of 127 km/h, and the second car, A2, goes at 122 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 4.7 meters long and the safety gap between cars is 2.6 meters. - ISO trapezium
Calculate the area of an isosceles trapezoid with base 50 long, leg 12 long, and with the angle between the base and leg 70 degrees. - 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) - 30-60-90
The longer leg of a 30°-60°-90° triangle measures 14. What is the length of the shorter leg? - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=67 cm. - Flowerbed
The flowerbed has the shape of an obtuse isosceles triangle. The arm has a size of 7.6 meters, and an angle opposite the base size is 124°. What is the distance from the base to the opposite vertex?
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