Planimetrics - math word problems - page 135 of 184
Number of problems found: 3667
- Hřiště
The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm. What is the area of the playground in square meters in reality? - Grandmother 82869
Grandma wanted to fry steaks for lunch. So she went to buy a large piece of meat. Calculate the knife's contact area with the meat if the grandmother cut with a force of 220 N and exerted a pressure of 1.83 MPa. - Perpendicular 22931
How far apart would two passenger cars be after 2 hours of driving if they left the same garage on two perpendicular paths, one going at 82 km/h and the other at 104 km/h? - Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum. - Circumference 7209
The speed of the points lying on the circumference of the rotating disk is 6 m/s. The speed of the points, which lie 20 cm closer to the axis of rotation, is 4 m/s. Find the angular velocity of the wheel. - Estimate the mode
A medium-sized asset management firm has 56 fund managers. Each of these managers has its own portfolio. The percentage returns from the managers' portfolios are shown in the table below: Return percentage; Number of managers 0-10; 8 10-20; 18 20-30; 21 - Circumference 7615
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal. - Wheel
How many times turns the wheel of a passenger car in one second if the vehicle runs at speed 52 km/h? Wheel diameter is d = 60 cm. - Quadrilateral and angles
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Radians
Convert 90° to radians. Write the result as a multiple of the number π. - Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible. - Determine 54881
On the tourist map with a scale of 1:50000, the section of the railway line between Bobrová Lhota and Javořiště is replaced by an arc of a circle with a radius of 6 cm. The arc is 90°. Determine the actual length of the track between the two villages. - Horizontal 6365
The tank's weight is 36 t, and the total contact area of the belts with the ground is 4 square meters. What pressure does the tank cause on a horizontal surface? - Minutes 38331
Two planes took off from Prague at one point. The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. How far apart will they be as the crow flies in 25 minutes of flight? - Proportion 32471
The lengths of the sides of the two squares are in the ratio of 5:7. In what proportion will their area be? - Acceleration 2
If a car traveling at a velocity of 80 m/s/south accelerated to a speed of 100 m/s east in 5 seconds, what is the car's acceleration? Using Pythagorean theorem - Steering 49363
The steering wheel has a diameter of 40 cm. It is acted upon by a pair of forces with a torque of 27 Newton-meters. How much force does it exert on each side of the steering wheel? - Tailor's 27111
They bought fabric to sew a skirt in a tailor's salon. If they sewed skirts 50 cm long, they would sew 70 of them. How many skirts will they sew if they are 70 cm long?
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