Planimetry - math word problems - page 109 of 187
Number of problems found: 3735
- Plot dimension calculation
The rectangular plot has dimensions of 48 mm and 72 mm on the plan on a scale of 1:5000. Calculate its dimensions and give the results in meters. - Triangle line
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? - Fertilizer
A meadow with an area of 1,500 m² was fertilised with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen was applied per 1 m²? - Jewel
In a competition for the most beautiful jewel, a jewel with the following description won: on a silver plate in the shape of a square, four identical ruby rhombuses are mounted. The rhombuses touch with their vertices at the midpoints of the sides of the - Store dimensions
A city plan has a scale of 1:50,000. Determine the actual dimensions of a department store that measures 18 mm in length and 25 mm in width on the plan. - Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter. - Equator
Suppose a tourist walked all the way around the Earth along the equator. How many more metres would the tourist's hat travel than the soles of their shoes? The radius of the Earth is 6378 km, and the tourist's height is 1.7 m. - Sugarcane harvest yield
3.6 tons of sugarcane were harvested on the experimental plot of 0.2 ha. How many tons of sugarcane can be harvested on a plot of land of 18.6 hectares with the same yield per hectare? - Grass seed calculation
How many g of grass seed do we have to buy in the eight-square garden with a side of 20 m if we need 100 g of seed per 8 m²? - Ski slope on a map
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? - The small
The small hand of the wall clock is 15 cm long, which is what a long journey the end of the hour hand in 15 minutes will describe. (b - in 2 hours)? - Two brothers
The two brothers were to be divided according to the will of land at an area of 1ha 86a 30 m² in a ratio of 5:4. How many will everyone get? - Quadratic function graph
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Vector endpoint magnitude
The endpoint of the vector, which is located at the origin of the Cartesian system Oxy, is given. Determine the coordinates of the vector and its magnitude, and sketch it: P[3,4]; Q[-2,7]; S[-5,-2] . .. i.e., Vectors PO, QO, SO - Square
Points A[9,9] and B[-4,1] are adjacent vertices of square ABCD. Calculate the area of square ABCD. - On the circular 3
On the circular lid of a salt shaker with a diameter of 4.5 cm, there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm; on the right are five small circular holes each with a diameter of 3 mm. Determine the ratio of the - Cutting circles
From a square sheet with 1 m sides, we cut out circles with a radius of 10 cm. How many discs can we cut, and what percentage of the material will be wasted?
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