Planimetrics - math word problems - page 128 of 169
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3362
- Painters
Six of the painters paint 90 m of the fence in five hours. For how long would the four painters paint a 45-meter fence? How many meters of the fence were painted by painters 5 for two hours? - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Corresponds 81049
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal - Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. - Cylindrical 81748
The hydrostatic pressure at the bottom of a cylindrical water container is 10 kPa. The bottom has an area of 0.25m². How much pressure does the water exert on the bottom? - Coefficient 45821
What is the smallest radius a turn must-have for a car to enter safely without exceeding a speed of 50 km / h? The coefficient of shear friction between the tires and the surface is 0.4. - Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC? - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s - Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 decimal places. - Flywheel
The flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point, which is 10 cm from the rotation axis. - Single-reverse 78404
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever. - Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree? - Calculate 3161
In the isosceles trapezoid ABCD, the arm is 5.2 cm long, the middle bar is 7 cm long, and the height is 4.8 cm. Calculate the lengths of both bases. - Trapezoid 45
Trapezoid with: Area: 345 1/2 sq cm base 1= 15 1/3 cm height= 4 1/5 cm What size has base 2? - Angled cyclist turn
The cyclist passes through a curve with a radius of 20 m at 25 km/h. How much angle does it have to bend from the vertical inward to the turn? - Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm - Hydrostatic 80798
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Dimensions 80782
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2cm x 3cm. - Determine 79204
A lake with an area of 3 cm² is drawn in the 1:50,000 scale map. Determine the actual size of the lake. - Compressive 34391
The excavator has an area of belts 5 m2, and a pressure of 40 kPa is created. How much compressive force does the excavator exert on the road?
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