Square (second power, quadratic) - math word problems - page 108 of 151

Number of problems found: 3005

Largest number n
Find the largest natural number d that has that property for any natural number n; the number V(n) is the value of the expression: V (n) = n ^ 4 + 11n²−12 is divisible by d.
Rotating square
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body.
Polynomial coefficients
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1)
Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface?
Triangle perimeter
The area of an equilateral triangle is 81 times three below the square root of cm². Calculate its circumference.
Square Matrix Rows
Determine how many rows the 7th-order square matrix contains.
Matrix elements
Determine how many elements a third-order square matrix contains.
Cylinder hole
A cylinder-shaped hole with a diameter of 12 cm is drilled into a block of height 50 cm with a square base with an edge length of 20 cm. The axis of this opening passes through the center of the base of the cuboid. Calculate the volume and surface area of
Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters.
Image arrangement
Our task is to save the rectangular images with dimensions of 105 mm and 42 mm so that we cover the smallest square. What will be its size, and how many pictures do we need?
Diagonal of square
Calculate the side of a square when its diagonal is 10 cm.
Two Gardens
Uncle Ferda had two gardens: the carrot garden was square-shaped, and the strawberry garden was rectangular. The width of the strawberry garden was three times smaller than the width of the carrot garden, and the length of the strawberry garden was 8 metr
MO-I-Z6
A square with a side of 4 cm is divided into squares with a side of 1 cm as shown in the figure. Divide the square along the marked lines into two figures with a perimeter of 16 cm. Find at least three different solutions (i.e. three such solutions that n
Window height
Each has a width of 218 cm and an area of 10,900 cm². Calculate the height of the window.
Medians and sides
Triangle ABC in the plane Oxy has the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try to calculate the lengths of all medians and all sides.
Cube painting
Entrepreneur Kostkoš wanted to produce colorful blocks for schools. But he gave them to another businessman to paint, who asked €1,117.2 for painting 1,000 cubes. The area that needs to be painted on one cube is 294 square centimeters. Please write how ma
Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square.
Trapezium 2
The trapezium has an area of 24 square cm. How many different trapeziums can be formed?
Glass cost
We had eight panes of glass cut by the glazier. Each had the shape of a square with a side of 18 cm. We paid 44 CZK. How much does 1 m² of glass cost?
Trapezoid MO-5-Z8
ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trapezoi

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