Basic operations and concepts - math word problems - page 190 of 319
Number of problems found: 6378
- Circumference 71304
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4:6:5. Determine the lengths of its sides.
- Complementary 81152
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have?
- Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled?
- Kilograms 48761
Matthew paints his room. He paints square walls. He painted a wall with a side of 3 m and consumed 5 kg of paint. How many kilograms of paint will he need on a wall with a side length of 6 m?
- Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S1=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m.
- Bracelet 48003
Radka wants to model a round bracelet with a diameter of 8 cm from copper wire. About how much wire does he need to make it if he needs to add 15% of its length to the eyelets? (π = 3.14)
- Calculate 72624
The perimeter of the ABC triangle is 19.6 cm. The following applies to the lengths of its sides: a: c = 1:2, b: c = 5:6. Calculate the lengths of all sides of the triangle ABC.
- Circumference 20703
How do I change the length of a diamond's side if I want its circumference to double?
- Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle.
- Circumference 3589
Calculate the circle's radius if the circumference and area are in a 2:5 ratio.
- Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).
- Percentage 24151
In a square garden with a side length of 12 m, there are two circular flower beds with a diameter of 4 m, and the rest is grass. Determine the area that is overgrown with grass. What percentage of the garden is occupied by flower beds?
- Perimeter 66414
The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a:b = 2:3 and a:c = 8:7. Determine the lengths of the sides of the triangle.
- Tree trunk
Calculate the average tree trunk with a circumference of 192 cm.
- Table
The circumference of the rectangle table is 420 cm. Length to width ratio is 5:2 . Calculate table dimensions and dimensions reduced in the ratio of 3:5
- Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m.
- Electrified 6472
The electrified carpet was rectangular, 16 square meters in area, and no two points on it were more than 7 meters apart. What different circuits can carpets that meet these conditions have?
- Isosceles 71154
Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α
- Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment?
- Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths.
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