Units - math word problems
Number of problems found: 3157
- The angle of lines
Calculate the angle of two lines y=x-21 and y=-2x+14
What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours?
The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
Monkey fell in 40 meters deep well. Every day it climbs 3 meters, at night it dropped back by 2 m. On what day it gets out from the well?
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
- Circle arc
Circle segment has a circumference of 135.26 dm and 2096.58 dm2 area. Calculate the radius of the circle and size of central angle.
Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
VAT is a tax which the state artificially betrays goods and services for final consumption. VAT in Slovakia is 20%. Calculate how much percent pay less tax residents of Japonska, when VAT is only 5%.
- Track arc
Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)?
- Solid in water
The solid weighs in air 19.9 g and in water 17 g. Calculate the density of the solid.
- Floating barrel
Barrel (cylinder shape) floats on water, top of barrel is 8 dm above water and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
- N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
- Extreme temperatures
USA hit extreme heat wave. Calculate percentage of the air temperature change from normal summer temperature 23 °C to 40 °C.
Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
- Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate size of angles.
- Copper plate
Copper plate length 3.2 m and width 50 cm weighs 55.42 kg. What is the plate thick, if 1 m3 of copper weighs about 8700 kg?
- Discounts on rail (ZSSK)
The railway company ZSSK offers a discount of 15% (REGIONAL) for 5 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 19 Eur per week.
- Car inflation
About what percentage price of car increased if price rose from €1880 to €2200?
- Cube in ball
Cube is inscribed into sphere of radius 181 dm. How many percent is the volume of cube of the volume of sphere?
- Hollow sphere
Calculate the weight of a hollow tungsten sphere (density 19.3 g/cm3), if the inner diameter is 14 cm and wall thickness is 3 mm.