Quadratic Equations Problems - page 26 of 30
Number of problems found: 600
- Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation. - Garden
The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m². Calculate the dimensions of the garden. - Square grid
A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid. - Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters. - Equation with abs value
How many solutions has the equation (|x| +x) |x-3| = |x+1| in the real numbers? - Friends
Some friends had to collect the sum of 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?
- Water reservoir
The water reservoir is filled through one inlet 4 hours later than both, then another 9 hours later. For how long is each filled out separately? - Two triangles SSA
We can form two triangles with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14 - Cubes - diff
The second cube's edge is 2 cm longer than the edge of the first cube. Volume difference blocks are 728 cm³. Calculate the sizes of the edges of the two dice. - RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs. - Polygon 42
Which polygon has 42 more diagonals than sides? - BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 85 kg and height h = 152 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index, it is possib - 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 - Difference 1632
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?
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