Planimetry - math word problems - page 138 of 187
Number of problems found: 3735
- Cooker wire resistivity
The heating coil of the cooker has a resistance of 70.5 ohms and is made of a wire with a diameter of 0.30 mm and a length of 9.8 m. Determine the resistivity of the material from which it is made. - Plot map sides
The triangular plot has dimensions of 90 m, 110 m, and 130 m. The land is drawn on a map with a scale of 1:2000. Find the lengths of its sides on the map in centimeters. - Disk angular velocity
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. - Lake area
At a speed of 4 km/h, we go around the lake, which has the shape of a circle, in 36 minutes. What is the area of the lake? Please result express in hectares. - 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? - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Exam average
The average of marks that have on the certificates students of 8 A class in mathematics is exactly 2.45. If we did not add 1 and 3 of students Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class - Traffic laws
Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of their car's dipped-beam lights, Peter stopped the car 1.5 m from the wall. The dipped-beam headlights are 60 cm high. At what height on the wall d - Diver
Please calculate using Pascal's law. The window of the diving helmet has a surface area of about 7 dm². What pressure force acts on the window at a depth of 20 meters below the water surface? - Tarzan
Tarzan, weighing m = 90 kg, tries to cross the river by swinging with a vine hanging from a tree leaning over the river. Liana has a length of l = 12 m. The speed of the Tarzan in the lowest swing position is v = 8 m/s. Tarzan doesn't know that the liana - MO Z6-I-3 2022
Magda cut out two identical isosceles triangles, each of which had a perimeter of 100 cm. First, from these triangles she formed a quadrilateral by placing them together by their legs. Then from them she formed a quadrilateral by placing them together by - Two cyclists
Two cyclists set off at the same time from the same point. One travels north at 20 km/h and the other travels east at 26 km/h. What is the straight-line distance between them after 30 minutes? - Conductor - induction
A conductor consisting of two circular loops with radii R = 5 cm is placed in a magnetic field with induction B = 0.6 T perpendicular to the field direction. What is the electromagnetic voltage induced in this conductor when the magnetic field disappears - Press force calculation
The oil pressure in the press is 20 MPa and has area S = 15 dm². Calculate the amount of force that lifts the piston. - Tank Weight Pressure Ground
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? - Motorist drive
At what speed did the motorist drive when he reacted by noticing the obstacle by 0.8 s? The magnitude of the opposite acceleration during braking was 6.5 m/s2, and the car ran to a stopped track 35 m. - On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again? - Wheel Rotations at Speed
The diameter of the wheel is 56 cm. How many times does it turn in 5 minutes if traveling at 60 km/h? - Car kinetic energy
Determine the kinetic energy of a car with a mass of 800 kg if it travels at a speed: a) 10 m/s b) 20 m/s
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