Planimetrics - math word problems - page 145 of 184
Number of problems found: 3676
- Vertical 29801
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building? - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number) - Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC? - Express the unknown
Calculate the unknown from the formula p=F: S Express the unknown F - Similarity of two triangles
The KLM triangle has a side length of k = 6.3cm, l = 8.1cm, m = 11.1cm. The triangle XYZ has a side length of x = 8.4cm, y = 10.8cm, z = 14.8cm. Are triangle KLM and XYZ similar? (write 0. If not, if yes, find and write the coefficient of a similarity) - The shadow
The shadow of a 1 m high pole thrown on a horizontal plane is 0.8 m long. At the same time, the shadow of a tree thrown on a horizontal plane is 6.4 m. Determine the height of the tree. - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 213 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea - Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Observatories A,B
The target C is observed from two artillery observatories, A and B, 296 m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target C from observatory A. - Right-angled triangle The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles.
- Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walks at the rate of 4 kph on one road, and Jenelyn walks at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa - 2d shape
Calculate the area of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of segment AB is 5 cm. - Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply.... - Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters. - Perpendicular 7001
We throw a ball in an express car traveling at a constant speed of 24 m/s, whose initial speed relative to the vehicle is 7 m/s. What is the initial velocity of the ball relative to the surface of the ground if we throw it a) in the direction of travel b) - Millimeters 4811
Construct a triangle ABC if you know the lengths of its sides c = 5 cm, a = 4 cm and angle ABC is 60°. Measure the length of side b in millimeters. Side length b is: a, 75 mm < b < 81 mm b, 53 mm < b < 59 mm c, 43 mm < b < 49 mm d, 13 mm - Calculate 6539
Calculate the magnitude of the angle formed by the lines p and q, which connect 1, 6 (line p), and 5, 8 (line q) on the clock face. - Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees.
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