Square (second power, quadratic) - math word problems - page 69 of 151
Number of problems found: 3005
- Equation root coefficient
In the equation 2x² + bx-9 = 0 there is one root x1 = -3 / 2. Determine the second root and the coefficient b - Pyramid surface volume
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm. - A kite
Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain? - Circle radius increase
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification. - Plot dimension calculation
The rectangular plot has an area of 480 m². One of its dimensions is 30 m. Calculate the second dimension of the plot. - Height to the base
The triangle area is 35 cm². The size of the base is 10 cm. Find the length of height to the base. - Schoolyard side length
Adam must take 400 steps to walk around the schoolyard. How long is one side of the schoolyard in the shape of a square? - Simplest form
Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power. - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Circle circumference calculation
Calculates the circumference of a circle if its area is S = 2119.5 cm². - Material consumption
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste, and round the final result to the nearest integers. - The playground
The playground is a square with a side of 64 m. It is fenced on three sides. What is the playground area, and how long is the fence? - Trapezoid area perimeter
Calculate the area and perimeter of the building plot in the shape of an isosceles trapezoid with a base of 120 m, 95 m, and a height of 50 m. - Block volume calculation
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume. - Excavation car transport
How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used car is 2 tons? The clay density is 1,800 kg/m². - Square - increase sides
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side - Lake path calculation
Lake Trasimeno is approximately in the shape of a circle, its area is about 28 square kilometers, and Mr. Hector's walking speed is approximately 4km/h. Calculate the length of the path around the lake and how many hours Mr. Hector would have to walk to o - Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume? - Horses playground
The horse fence is a rectangular trapezoid with an area of 400 m². The base lengths should be 31 m and 19 m. If the boards are stacked in 5 rows, how many meters of fence will they need? - Pool tarpaulin cost
The circular pool with a diameter of 3.5 m is covered with a circular tarpaulin made of rubberized fabric for CZK 110 per square meter. Determine how much the tarpaulin cost if you know that its radius is 25 cm larger than the radius of the pool.
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