Planimetrics - math word problems - page 157 of 183
Number of problems found: 3651
- Construct 83156
Construct 2 circles so that their centers are 5 cm apart and: and they had no common touch b- they had a common point They had 2 points in common. - Square-shaped 81445
The area of the square-shaped room on the drawing with a scale of 1:150 is 6 cm square. Determine the actual area of the room in square meters. - Magnitudes 80788
The minute hand is three times longer than the second hand. In what ratio are the magnitudes of the velocities of their endpoints? - Perpendicular line
According to the map, the scouts were supposed to proceed through the forest perpendicular to its straight edge, where the goal was 3 km away from the starting point. They already deviated from the correct direction by 5° at the start. How far from the ta - Entrepreneur 6309
Renting a 1m² advertising board costs €780 per month. A rectangular advertising board has a length of 3 m and its diagonal makes an angle of 34 degrees with the longer side. Calculate how much € an entrepreneur will pay for 4 months of renting a blackboar - Square 58873
Draw a square so that its sides do not lie on the lines of the square grid - Determine 5893
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts.
- North + west
Find the magnitude of the resultant of the given vectors: vector 1:2 m/s, north vector 2:7 m/s, west - The sum graphically
Draw a graphical sum of all sides of 4-gon ABCD. - Cross-section - trapezoid
The cross-section of the channel has the shape of a trapezoid. The bottom width is 2.25 m, and the depth is 5 m. The walls have a slope of 68°12' and 73°45'. Calculate the upper channel width. - Trisection of a line segment
Divide the line segment AB into three equal parts. Instructions: Construct an equilateral triangle ABC and find its center (e.g., the described circles). - The land
The land in the shape of a square has 9 ha. How big a side will the land have at a scale of 1:5000? - Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in t - Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters? - A rectangle 8
A rectangle measuring 6 cm and 4 cm is enlarged by the ratio of 3:1. What is the area of the enlarged rectangle?
- MO Z8–I–6 2018
The KLMN trapezium, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line. - Distance 11711
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 seconds? - Altitude angles
Cities A, B, and C lie in one elevation plane. C is 50 km east of B, and B is north of A. C is deviated by 50° from A. The plane flies around places A, B, and C at the same altitude. When the aircraft is flying around B, its altitude angle to A is 12°. Fi - Embankment 7879
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment? - Altitude angle
In complete winds-free weather, the balloon took off and remained standing exactly above the place from which it took off. It is 250 meters away from us. How high did the balloon fly when we saw it at an altitude angle of 25°?
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