Equation + square - practice problems - page 19 of 21
Number of problems found: 415
- Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD? - Circle
The circle is given by center on S[-7; 10] and maximum chord 13 long. How many intersect points have a circle with the coordinate axes? - Abyss
The stone fell into the abyss: 2 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 = 343 m/s) - Equation
Equation -2x²+bx -82 =0 has one root x1 = -8. Determine the coefficient b and the second root x2.
- Rectangle - sides
A rectangle has an area 266 cm². The length of the shorter side is 5 cm fewer than the length of the longer side. What is the perimeter of a rectangle? - Square
If we increase one side of the square by its one-half, then the square perimeter increases by 10 cm. What is the side of the square? - Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist. - Leg and height
Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.
- Built-up area
John build-up area 5 x 7 = 35 m² with building with a wall thickness 30 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 9%? - Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Tank
In the middle of a cylindrical tank with a bottom diameter of 251 cm is a standing rod that is 13 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank? - Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0. - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
- Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number? - Discriminant
Determine the discriminant of the equation: 7x²-x+7=1 - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is: - Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ... - Coordinate
Determine the missing coordinate of the point M [x, 11] of the graph of the function f by rule: y = 3x
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