Planimetrics - math word problems - page 119 of 184
Number of problems found: 3673
- Horizontal 3166
The road leading from place A to place B has a gradient of 9%. Considering that their altitudes differ by 27.9 m, determine the horizontal distance between them. - Rectangle
The width of the rectangle is 65% of its length, and its perimeter is 132 cm. Determine the dimensions of the rectangle. - Tractor's 7352
The tractor's rear wheels have a diameter of 1.25 m, and the front wheels have a diameter of 55 cm. What is its speed? How many times does each wheel turn on a 1.5 km track? - Determine 82394
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t, - One angle 2
One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles? - Mysterious area
The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm². - Proportion of the continents
The area of Asia and Africa is 8:7, and the area of Europe and Africa is 5:6. In what proportion are the sizes of regions of Asia, Africa, and Europe? - Rectangle - sides 4
The perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio of 3:5. - Second-longest 7659
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Centimeters - trapezoid
The area of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Find the height of the trapezoid in centimeters. - Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - Angles ratio
In an ABC triangle, is true relationship c is less than b, and b is less than a. Internal angles of the triangle are in the ratio 5:4:9. The size of the internal angle beta is: - Garden
A rectangular garden 31 meters 40 centimeters long and 20m30cm wide is adjacent to the shorter side with another (fenced) garden, and on one longest side is a 1-meter wide gate. How many meters of the fence are needed to buy? (Estimate, calcula - Right-angled 81150
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - Circumference 2907
The circumference of the rectangle is 22 cm, and one side is 3 cm shorter than the other. What is the area of this rectangle? - Original 80393
Resize the square to 10:3. The original size is 3 cm. - Calculate 68394
The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles. - Triangle 3187
In a general triangle, the aspect ratio a: b = 2:3. What is the ratio of heights va: vb? - Gardener 75344
A gardener lays tiles around a square flower bed. It needs 12 tiles around the 2x2 bed. How many tiles will he need around the size of the bed? a) 9x9 b) nxn? How big was the bed for which the gardener consumed c) 112 d) 4n tiles? - Cross-section 23491
The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5:3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S.
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