Planimetrics - math word problems - page 108 of 183
Number of problems found: 3651
- Regular 62524
The floor in the game tower has the shape of a regular hexagon with a side length of 5m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%? - Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²? - Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Difference 79094
Trapezoid, gamma angle=121°, alpha angle=2 thirds of delta angle. Calculate the angle difference alpha, beta - Determine 3586
Determine the size of the vectors u = (2,4) and v = (-3,3) - Center
In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z]. - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have?
- Numbered
The pages of the book are rectangular with sides 15 cm and 12 cm long. Hansel tore out all the pages and lined them up so that they touched on the shorter side. How long was the line, if you know that the pages were numbered starting from number 1 and the - Dimensions 82501
The table has the shape of a rectangle with dimensions of 80 × 100 cm. Ten identical sheets of paper measuring 20 x 30 cm lie next to each other on it. Papers do not overlap or extend beyond the surface of the table. What part of the table surface is cove - Rectangle 12081
On a plan with a scale of 1:8000, the ski slope has 12 cm and 0.5 cm lengths. What is the actual piste area in ares? - Department 3500
The city plan has a scale of 1:5 0000, which determines the actual dimensions of a department store that has a length of 18 mm and a width of 25 mm. - Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k? - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9]. - Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10]. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas
- Garden
The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden? - Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Equator
Suppose that a tourist went on foot over the Globe Equator. How many meters more track made his hat on his head as the shoes on your feet? The radius of the Earth is 6378 km, and the height of the tourist is 1.7 m. - Isosceles 5575
The picture shows an isosceles triangle VLK with a center of gravity of T. The base VL measures 16 cm, and the line KK1 measures 18 cm. How long is the VV1 line? - trapezium 3428
Given is a trapezoid ABCD with bases AB, CD. Let K be side AB's midpoint, and point L be side CD's midpoint. The area of triangle ALB is 15 cm2, and the area of triangle DKC is 10 cm². Calculate the area of trapezium ABCD.
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