Quadratic Equations Problems - page 20 of 30
Number of problems found: 600
- Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river? - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Work
The first worker would need less than 4 hours to complete the task than the other worker. In fact, both workers worked for two hours together. Then, the first worker did the remaining work himself. In what proportion should the remuneration of the workers - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Two workers Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself?
- Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Calculate 5619
Jana had to calculate 70 tasks, and if she had solved two more daily tasks than she had planned, she would have finished four days earlier. How many days did she have to calculate the tasks? - Rectangular 5611
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions? - Simultaneously 5610
Two cyclists rode towards each other simultaneously from opposite ends of the 28km long route. Each covered the entire route at a constant speed, the fastest being at the finish line 35 minutes earlier. On the route, the cyclists passed each other after 1 - Daughter and father
"My daughter will be x years old in x²," said Elise's father in 1991 at her birthday party. a) When will the said event occur, and how old will Elise be at that time? b) In what year was Elise born? c) How old was Elise in 1991? - Perpendicular sides
In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle. - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent. - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there?
- Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder. - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n
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