Unit conversion - math word problems - page 123 of 129
Number of problems found: 2567
- Coke
One ton of coal is produced 787 kg of coke for iron production. How many wagons of coal by 28 tonnes per day is needed for the blast furnace, which has a daily consumption of 986 tons of coke?
- Pool
Mr. Peter builds a pool in the garden in the shape of a four-sided prism with a rhombus base. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water does Mr
- Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles.
- Base
The base of the building is a circle with a diameter of 24 m. Calculate the circumference of a circular trench whose diameter is 19 cm wider than the diameter of the base.
- Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place.
- Milimeters
How many millimeters are 1/4 meters?
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
- Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302.
- SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle.
- Angles
The outer angle of the triangle ABC at vertex A is 147°12'. The outer angle at vertex B is 113°42'. What size is the internal angle at vertex C?
- Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went?
- Clock
How many times a day do hands on a clock overlap?
- Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements.
- Map
On the tourist map, on a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes.
- Reflector
The circular reflector throws a light cone with a vertex angle 56° and is on 24 m height tower. The axis of the light beam has the axis of the tower angle 11°. What is the maximum length of the illuminated horizontal plane?
- Hours
How many hours are 7 days?
- Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100°
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence?
- Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c.
- River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river.
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