Unit conversion - math word problems - page 131 of 134

Number of problems found: 2678

Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°.
River
Calculate the average gradient in per mille of river Hudson, given that along a 952 km section the water flows from 1231 m above sea level down to 131 m above sea level.
Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?
Angle between lines
Calculate the angle between the following two lines: p: -4x +7y +7 =0 q: -x +4y +7=0
Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon.
Car - simple
A car is travelling at 77 km per hour. What distance does it cover in 1 minute?
Map
A forest has an area of 77 ha. What area does it occupy on a map at scale 1:10000?
Area
Calculate: x = 8 m² + 8 dm² + 8 cm²
Clock
How many hours are 10 days?
Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density?
Height 2
Calculate the height of an equilateral triangle with side 22.
Garden
How many steps of 64 cm each are needed to walk around the perimeter of a square garden with an area of 1.5 ha?
Bricks
Brick has volume 2.4 dm³. How many bricks can drive a truck with a capacity of 15 ton? The density of brick is 2 g/cm³.
Rainfall
The average annual rainfall in our country is 619 mm. How many m³ of water falls on average per hectare?
Trunk
Calculate the length of the longest fishing rod that can be placed in a car boot with dimensions 152 × 82 × 81 cm.
Box
Calculate the angle between the base of a cuboid with dimensions 5 × 10 and its space diagonal of length 13.
Rotating cone II
Calculate the lateral surface area of a cone with base radius r = 20 cm and height h = 10 cm.
Gold wire
A wire of length 1.4 km was drawn from one gram of gold. What is its diameter if the density of gold is ρ = 19.5 g/cm³?
The angle of lines
Calculate the angle between the two lines y = x-8 and y = +12.
Minute angle
Find the angle swept by the minute hand of a clock in 30 minutes.

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