Planimetrics - math word problems - page 107 of 183
Number of problems found: 3651
- Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Two-kilogram bread
Farmers harvested 3000 kg of rye from one hectare, from which they obtained 2500 kg of flour. 3 kg of flour will make 4 kg of bread. Calculate how many m² of land were used to grow rye, which is needed for 1 two-kilogram loaf of bread. - Center of gravity
In the isosceles triangle ABC the lengths of AB and the height to AB is the ratio of 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT. - Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid? - Circumferential 8399
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Non-woven 7322
A square sandpit should have a side length of 1.6 m. How long do you need a wooden board to enclose the sandpit? Under the sandbox, a non-woven fabric will extend by 0.2 m on each side. How much will we need? - Plastered 2529
The mason was to plaster 24.2 m² of the wall in 12 shifts. At what percentage did he meet the plan when plastering 306 m² of walls?
- Calculate 82282
Calculate the sizes of the interior angles in the triangle whose vertices are the points marked by the numbers 1, 5, and 8 on the clock face. - Tablecloth 72254
The table top is 1.2 m long, 55 cm wide, and 35 mm thick. Calculate how many regular meters of a 1 m wide roll are needed for a tablecloth that extends 15 cm beyond the bottom edge of the table on all sides. - 3-room
Calculate the area of a 3-room apartment if you know that 2 rooms (bedroom and children's) are the same size, both have the shape of a square with sides of 3 m. The living room has the shape of a rectangle with dimensions of 4 m x 5 m. The area of the - Two brothers
The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m² in a ratio of 5:4. How many will everyone get? - Internal angles
The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On the BC side is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA, the point M is such that | DM | = 2 |MA|. Det - Fertilized 80437
Nitric lime contains an average of 19% nitrogen and 55% calcium oxide. How many grams of nitrogen per 1 m² if we bought a 25 kg package and thereby evenly fertilized a garden of 12 a? - Rectangular 19823
Three hundred eighty-four tiles are used to cover the roof of 48 m². How many identical tiles are used for a rectangular roof measuring 6m and 9.5m? - Three
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle
- Trapezoid 18313
Find the points A1 B1 symmetric along the y-axis to the points A [-4,0] and B [-1,4]. Calculate the perimeter of the trapezoid AB B1 A1. - Calculate 6706
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter. - Consumption 17823
The roof is a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses. - Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Konečný 81976
Mr. Konečný used 0.9 kg of paint to paint an 8 m long and 1.2 m high fence. a) How many kg must he buy when he will paint a 35m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5m high and 42m long.
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