Square (second power, quadratic) - math word problems - page 137 of 151
Number of problems found: 3005
- Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle. - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 8.1 liters of water. - Flowerbed 2
Around the square flower bed in a park is a sidewalk about 1.3 m wide. The area of this sidewalk is 246 m². What is the area of the flowerbed? - Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 2:7. The area of triangle ACD is 140 dm². What is the area of trapezoid ABCD? - Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes? - Round table
A round table with a diameter d = 133 cm is coated by a square tablecloth with a side length 156 cm. About how many cm is the higher center of the tablecloth than its corners? - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Tower
The top of the tower is a regular hexagonal pyramid with a base edge 5.7 meters long and a height 7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 4% of metal for waste. - House roof
The house's roof is a regular quadrangular pyramid with a base edge 20 m. If the roof pitch is 38° and we calculate 12% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof? - G forces
Calculate car deceleration (as a multiple of gravitational acceleration g = 9.81 m/s²) when a vehicle in a frontal collision slows down uniformly from a speed 61 km/h to 0 km/h in a 1.1 meters trajectory. - Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base. - Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s) - Equation
Equation -3x²+bx -108 =0 has one root x1 = 1. Determine the coefficient b and the second root x2. - Rectangles - sides
One side of the rectangle is 16 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 9 cm increases the rectangle area by 250 cm². What are the dimensions of the original rectangle? - RT 10
The area of the right triangle is 15 cm², and one of its catheti is a=7 cm. Calculate the perimeter of the triangle ABC. - Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [-17; 10; 9] m1 = 23 kg A2 [-16; -19; 0] m2 = 31 kg A3 [4; -14 - Bomber
The aircraft flies at an altitude of 14700 m above the ground at a speed of 619 km/h. At what horizontal distance from point B should be released any body from the aircraft body fall into point B? (g = 9.81 m/s²) - Ball
The soldier fired the Ball at an angle of 57° at an initial velocity of 186 m/s. Determine the length of the litter. (g = 9.81 m/s²). - Rectangle - sides
A rectangle has an area 340 cm². The length of the shorter side is 3 cm fewer than the length of the longer side. What is the perimeter of a rectangle? - OPT
What is the perimeter of a right triangle with the legs 11 cm and 24 cm long?
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