Planimetry - math word problems - page 49 of 72
Number of problems found: 1438
- 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 - Fence paint consumption
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 35 m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5 m high and 42 m long. - 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 - Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it - Square area ratio
The lengths of the sides of the two squares are in the ratio of 5:7. In what proportion will their area be? - Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed? - Calculate 449
Calculate the size of the angle formed on a clock face by the lines connecting the centre to the positions at 7:12 and 1:24. - 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? - Quatrefoil circle radius
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Rectangular land
Due to the new road, the longer dimension of the rectangular plot had to be shortened by 4 percent, and the shorter dimension shrunk by 10 percent. Thus, the area of the land has decreased by how much percent? - Minute hand angle
The minute hand describes an angle of 180 degrees in half an hour. In how many minutes does the minute hand cover an angle of 192 degrees? - The length 10
The length of a rectangle is increased to 2 times its original size, and its width is increased to 3 times its original size. If the area of the new rectangle is 1,800 square metres, what is the area of the original rectangle? - Minute hand area
What is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Rows of chairs
There are 15 chairs in the first row. Each subsequent row has 3 more chairs than the previous row. How many chairs are there in the first 20 rows in total? - Flowerbeds
There are three square flower beds on the square grassy plot. What percentage is the grassed part of the land when one side is 35 m, and the side of the flowerbed is 10 m? - Nikelin and brass
Calculate the length of brass wire (ró=0.08 microohm m) and nickel (ró=0.4 microohm m) with a diameter of 0.5 mm, which has a resistance of 1 ohm - Triangle perimeter function
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis. - Circle waste percentage
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Triangle area perimeter
Calculate the area and perimeter of the right triangle ABC if A [5.5; -2.5] B [-3; 5] C [-3; -2.5] - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h?
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