Basic operations and concepts - math word problems - page 185 of 319
Number of problems found: 6378
- Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes. - Identical line
In which triangles is the line identical with the height? - Triangle
Can an equilateral triangle have a right angle? - Diameter of cent coins
In what proportion are the diameters of these coins: 10 cents-diameter 19.75mm 20 cents-diameter 22.25mm 50 cents-diameter 24.25mm - The diamond
The diamond has an area S = 120 cm2, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond. - 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. - Circumference 3160
In an isosceles triangle, the base length is 75% of the arm's length. If the circumference is 22 cm, calculate the area of the triangle.
- Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Flowers + orchards + lawn
The garden around the flat house is divided as follows: 30 percent flowers, 35 percent orchards, and 150 square meters from the lawn. What is the total area? - 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. - 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? - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Transmitter 34201
A television transmitter 108 m high is anchored at 2/3 of its height (from the ground) by three ropes of equal length. How many meters of rope are needed for anchoring if it is embedded at a distance of 54 m from the foot of the mast, and we count 10% of
- Hypotenuse 82331
Given a right triangle KLM with a right angle at M. What is the magnitude of the hypotenuse m if the magnitude of the normal to the hypotenuse m is 4? - Cardboard box
Peter had square cardboard. The length of the edges was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - Right triangle - ratio
The lengths of the legs of the right triangle ABC are in ratio b = 2:3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle. - Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle? - Consumption 30411
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide?
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