Square practice problems - page 9 of 150

Number of problems found: 2990

Three inscribed objects
A circle is inscribed in a square. An equilateral triangle with side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
Line segment
Find the length of the line joining points A(-4,8) and B(-1,4).
Two chords 2
The length of one of two chords of a circle is 12 cm. If the chords are 6 cm and 7 cm away from the center of the circle, calculate the length of the second chord.
Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
Spherical sector - parameters
Find the volume and surface area of a spherical sector whose base has a height of 8 cm, drawn on a sphere with a diameter of 36 cm.
Two chords 6
A chord PQ is 10.4 cm long, and its distance from the center of a circle is 3.7 cm. Calculate the length of a second chord RS, which is 4.1 cm from the center of this circle.
A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the centre of the circle.
Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height.
A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m².
Discriminant
Determine the discriminant of the equation: 3x²+19=4
Sqrt of 24
What is the square root of 24?
Difference - two complex
Determine the difference between two complex numbers: 3i²-3i⁴
Complex sum
Determine the sum of complex numbers: 2i² + 2i⁴
Calculation
How much is the sum of the square root of six and the square root of 100?
Quadratic equation
Find the roots of the quadratic equation: 3x²-4x + (-4) = 0.
Expression value
What is the value of this expression: (0.64^0.5): 4
Square Matrix Rows
Determine how many rows the 7th-order square matrix contains.
Matrix elements
Determine how many elements a third-order square matrix contains.
Solve 3
Solve a quadratic equation: (6n+1) (4n-1) = 3n²
Expression value
Specify the value of this expression: 4! · 2^-5

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