Planimetrics - math word problems - page 129 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: 3380
- Circular motion
The mass point regularly moves in a circle with radius r = $r m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement. - Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int - Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles. - Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height has a tree (in meters)?
- Rectangular 73554
The family house has a rectangular shape with sides of 15m and 12m. Determine the lengths of the sides of a family house on a drawing with a scale of 1: 250 - Hectares
The rectangular land has 3 cm and 4.5 cm dimensions on the plan with a scale of 1:40,000. Find the area of the land in hectares. - RPM
An electric motor makes 3,000 revolutions per minute. How many degrees does it rotate in one second? - 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 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 wil - Inclined plane
1. How much work W do we have to do to pull a body weighing 200 kg along an inclined plane with a length of 4 m to a total height of 1.5 m? 2. Find the force we need to exert to do this if we neglect frictional resistance. 3. Find the force we would need
- Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m? - Right-angled 81359
The paths in the park form a right-angled triangle, which on the map with a scale of 1:200 has two dimensions of side lengths of 9cm and 15cm. Grandma walks this route every day for a health walk. How many meters does she walk? - Dimensions 81607
On a 1:150000 scale map, what will be the dimensions of a strip of the forest whose actual length is 6 km and actual width is 900 meters? - Kilometers 8991
The nature reserve covers an area of 40,000 square kilometers. If we draw it on a map on a scale of 1:1000000, we get a square. Find the side of the square on the map.
- 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? - 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. - Respectively 81293
The figure shows the squares ABCD, EFCA, CHCE, and IJHE. Points S, B, F, and G are, respectively, the centers of these squares. Line segment AC is 1 cm long. Determine the area of triangle IJS. Please help... - Resistivity 3983
What was the length of an iron wire with an area of 3cm² if its resistance was 15 ohms? Iron (Fe) resistivity is 0.0996 x 10 at -6 Ohm/meter. - 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.
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