Physical quantities - math word problems - page 261 of 296
Number of problems found: 5915
- Quadrilateral ABCD
Construct a quadrilateral ABCD with diagonals AC = e = 7 cm, BD = f = 6.2 cm, d = 4.3 cm, a = 5.3 cm and β = 125° - Triangle SSA
Construct a triangle ABC if |AB| = 5 cm va = 3 cm, CAB = 50 °. It is to create the analysis and construction steps. - An architect 2
An architect is designing a house. He wants the bedroom to be 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Sol - Fast tourists
If three tourists pass the route in 5 hours, how long will the same route take six equally fast tourists? - Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Seven workers
Seven workers clear the glade in 22 hours. How many workers would be needed to complete the task in 8 hours? - Cuboid 5
Calculate the mass of the cuboid with dimensions of 12 cm, 0.8 dm, and 100 mm made from spruce wood (density ρ = 550 kg/m³). - Scale of plan
On the village plan on the scale of 1:1000, a rectangular garden is drawn. Its dimensions on the plan are 25 mm and 28 mm. Determine the area of the garden in ares. - Parallels and one secant
There are two different parallel lines, a, b, and line c, that intersect the two parallel lines. Draw a circle that touches all lines at the same time. - Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description. - Triangle construction
Draw a circle k (S, r = 3 cm). Build a triangle ABC so that its vertices lie on the circle k and the length of the sides is (AB) = 2.5 cm (AC) = 4 cm - Twenty
Twenty swallows sit on a 10 m long telephone cable. Assume that swallows are completely randomly distributed along the line. (a) What is the probability that more than three swallows sit on a randomly selected section of cable 1 m long? (b) What is the pr - Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste? - Hectoliters - reservoir
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - Seamstress suit time
Six seamstresses sew five suits in 3 days. How long before four seamstresses sew eight suits? - Profit distribution workers
We have a profit of 40000e, and the work took 30 days. The first worker is promised 38% of the profit but only works for 15 days, the second worker is promised 33% of the profit and works for 20 days, and the third is promised 28% of the profit and works - Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle. - Decibel
A circuit has an input power of 73 mW. Its output power is 18 mW. What is the loss in decibels? - Motorcyclist average speed
The motorcyclist was riding: a) the first half of the driving time at a speed of 30 km/h, the second half of the time at a speed of 60 km/h, b) the track's first half at a speed of 30 km/h and the second half at a speed of 60 km/h. Determine its average s - Average Speed Walk Hill
The tourist walked on the plain for 2 hours at a speed of 6 km/h. For another hour, he climbed a steep hill at a speed of 3 km/h. What was his average speed?
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