Square (second power, quadratic) - math word problems - page 12 of 150

Number of problems found: 2982

Rhombus - ratio
In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side.
Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b?
Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25m and sides of 30m. Calculate the maximum number of flowers that can be planted in this bed, assuming that one flower requires about 8 dm² of square area. Round the result to the nearest
Suitcase - rod
The trunk of a car has the shape of a cuboid with sides 1.6m x 1.2m x 0.5m (width, depth, height). Determine the longest thin rod that can be placed on the bottom.
Equilateral cone
A cup has the shape of an equilateral cone (side “s” is the same size as the diameter of its base - the axial section is an equilateral triangle) It is supposed to hold 0.2 liters of liquid at a level 1 cm below the rim. Calculate its diameter
Arbor
Calculate in square meters the area of an arbor whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m.
Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose center is 3 cm from the chord.
Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal length of 8 m. What is the length of the shorter diagonal of the rhombus?
Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal.
PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a, and b of the following lengths. Estimate the length of its remaining side and compare your estimates with your calculations. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a= 8.9 m; b = 1 m d) b= 10 cm; c
In a right triangle 13
The height of the hypotenuse is 4.8cm. The hypotenuses are in the ratio 4:3. Calculate the perimeter and area of a triangle.
Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between the adjacent vertices of the flower bed.
Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it. Bends for gluing the walls are not included. Calculate the volume of the box.
Two-kilogram bread
Farmers harvested 3000 kg of rye from one hectare, from which they obtained 2500 kg of flour. 3 kg of flour will make 4 kg of bread. Calculate how many m² of land were used to grow rye, which is needed for 1 two-kilogram loaf of bread.
Chord 24
A chord with length t = r times the square root of two divides a circle with radius r into two circular segments. What is the ratio of the areas of these segments?
Repeatition not allowed
How many four-digit numbers can be formed from the numbers 3 5 8 9 if they are not allowed to be repeated?
Compound fractions
Solve the compound fraction, use the known formulas, and shorten the: (4a²-12a+9)/(4a-6)
Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
Quadratic without formula
A quadratic equation is given: x²-x-2=0 Without solving this equation, construct a quadratic equation whose roots are the square of the roots of the given equation.
Construction 83662
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure.

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