Quadratic Equations Problems - page 26 of 30
Number of problems found: 584
- Polygon 42
Which polygon has 42 more diagonals than sides? - The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Circular flowerbed
We split the circular flowerbed with a diameter 8 m by concentric circles to circles and annulus with the same area. Find the radius of the circle. - Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75%, the length of the second leg, and its area is 24 cm². - Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used a new one, but it was out of toner, and the exchange took 5 minutes at that time, copied on the old one. The whole work was done in 9 min. How long would the - Two numbers
The difference between the two numbers is 7. Their product 144. What are the numbers? - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Triangle
Calculate the triangle sides if its area S = 630 and the second leg is shorter by 17. - Cylinder diameter
The surface of the cylinder is 112 cm². The cylinder height is 5 cm. What is the diameter of this cylinder? - Product - quadratic equation
The product of the two numbers is 900. If we increase the lowest number by two, its product will increase by 150. Determine both numbers. - Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.7 m. Determine the bottom dimensions where one dimension is 2.2 m longer than the second. - QuizQ2
The square of the first number equals three-fifths of the second number. Determine both numbers, given that the second number is five times greater than the first, and neither number equals zero. - Tourist Jirka
The distance between points A and B is 13.5 km. George went from point A to point B at an unknown speed and for an unknown period. Back to point A, it went slower by 3 km/h, meaning it went 20 minutes more. How long does George take the return journey? - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Diagonals in the diamond
The length of one diagonal in a diamond is 19 cm greater than the length of the second diagonal, and the diamond area is 32 m². Determine the sizes of the diagonals. - Catheti
The hypotenuse of a right triangle is 35, and the sum of legs is 49. Calculate the length of its legs. - Automaker
A car manufacturer now produces 4 more cars per day than last year, meaning 360 cars can be produced in one fewer working day. How many working days were needed to produce 360 vehicles in the previous year?
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
