Quadratic equation + power - practice problems - page 2 of 5
Number of problems found: 87
- Uboid volume
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² - Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
- Rotating 7947
In the rotating cone = 100π S rotating cone = 90π v =? r =? - Completing square
Solve the quadratic equation: m2=4m+20 using completing the square method - Divisors 7779
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors. - Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously? - Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2
- Non linear eqs
Solve the system of non-linear equations: 3x²-3x-y=-2 -6x²-x-y=-7 - Confectionery 7318
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Domains of functions
F(x)=x²-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . The domain of (f/g)(x). .. - Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center.
- Solve: 6632
For n ϵ N solve: 100 = (0.01n)² - 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 - Elišča's 5549
"My daughter will be x years old in x²," said Elišča's father in 1991 at her birthday party. a) When will the said event occur, and how old will Eliška be at that time? b) In what year was Eliška born? c) How old was Eliška in 1991? - Unknown variable
Find the number x, which if it increases by 2, then its square increases by 21 percent. - 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.
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