Square practice problems - page 9 of 150

Number of problems found: 2994

Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR?
PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ.
Spherical sector - parameters
Find the volume and surface area of spherical sector whose base has an altitude of 8cm. Drawn on a sphere whose diameter is 36 cm.
Two chords 2
The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm away from the center of the circle, calculate the length of the second chord.
Line segment
Find the length of the line joining points A(-4,8) and B(-1,4).
The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area.
Two chords 6
A chord PQ is 10.4cm long, and its distance from the center of a circle is 3.7cm. Calculate the length of a second chord RS, which is 4.1cm 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 center of the circle.
Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
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.
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.
Calculation
How much is the sum of the square root of six and the square root of 100?
Sqrt of 24
What is the square root of 24?
Discriminant
Determine the discriminant of the equation: 3x²+19=4
Difference - two complex
Determine the difference between two complex numbers: 3i²-3i⁴
Numeric question
Is it possible a negative, irrational number?
Determine 4414
Determine how many rows the 7th-order square matrix contains.
Third-order 4413
Determine how many elements a third-order square matrix contains.
Harmonic mean
Harmonic means of 6 and 12
Solve 3
Solve a quadratic equation: (6n+1) (4n-1) = 3n²

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