Square (second power, quadratic) - math word problems - page 79 of 151
Number of problems found: 3005
- Matrix element count
The determinant of a square matrix of the 1st order equals 3. How many elements does this matrix contain? - Pool painting cost
A square-shaped pool with bottom dimensions of 7m * 4m and a height of 1.2m needs to be painted. How much will the paint cost if 1 kg of paint, which is enough for 6 m² of color, costs 3 euros? The painter charges 1 euro for coating 1 m². - Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm? - Cylinder painting cost
How many kg of paint do we need to paint a cylinder with a diameter of 60 cm and a length of 2 meters if we use 0.5 kg of color for one square meter of surface? How much will we pay for paint if 1 kg costs CZK 165? - Tent pad reduction
If the length of the square pad tent is reduced by 6 cm, its area will be reduced by 2.76 dm². Specify the side length of the original and reduced pads. - Flower bed
The park has a rectangular flower bed with dimensions of 3.2m and 1.5m. How many rose bushes will we plant in the flower bed if 20 dm² are needed for one bush? - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - Reserve map scale
The nature reserve covers an area of 40,000 square kilometers. If we draw it on a map on a scale of 1:1000000, we get a square. Find the side of the square on the map. - Aquarium
The box-shaped aquarium is 40 cm high; the bottom has 70 cm and 50 cm dimensions. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge o - Garden scale area
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Seat
How much m² of fabric do we need to sew a 50cm-shaped cube-shaped seat if we add 10% of the material to the folds? - Long rope
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Distance - ladder
The double ladder has a height of 3 m. How high will it reach when we spread it at a distance of 1 m? - Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values. - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Water depth
If the pool is 25 meters long and 10 meters wide and the water depth is 1.2 meters everywhere, how many square meters of the inside of the pool wet the water? - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Prism cubic meter
How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter? - Playground grass area
The playground has the shape of a square. One side is 28m long. The grass is in the middle of the field. What area does the grass cover? - Angle of two lines
There is a regular quadrangular pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV.
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