Fractions + square root - practice problems
Number of problems found: 26
- ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - Express value
Given that p = √(mx/t-t² x) Make x the subject If m = 7, p = -3 and t = 4, find the value of x - Mohammed
Mohammed grew a garden last year. His plot of land was 6 3/4 feet by 10 feet. This year, he wants to have twice as much area as his garden. How much area will the new garden take up? - Geometric sequence terms
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3 - Trapezoid perimeter base
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the perimeter of the trapezoid. - Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Garden G
The rectangular, trapezoidal garden has a base length of 81 m, 76 m, and a vertical arm of 12 m. Calculate how many m² of the area will remain for planting greenery if 1/3 of the area is built. Calculate the consumption of mesh for land fencing. - Garden trapezoid area
The garden, in the shape of an isosceles trapezoid, has a base length of 44 m and 16 meters. The arms are 25 m long. 1/5 of the area is for a road and a cottage. How many m² of the area will be left for planting trees? - Sin cos tan
In right triangle ABC with a right angle at B, the sides are |AB| = 7 cm, |BC| = 5 cm, and |AC| = 8.6 cm. Find to two decimal places: A. sin C B. cos C C. tan C - Triangle area grid
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Tree ladder height
How tall is the tree if I lean a 2-meter-long ladder against it? The ladder is 0.7 m away from the tree, and the top of the ladder rests against the tree at 2/3 of its height. - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - The pole
A 4 m wire brace supports a telegraph pole. It is attached at 3/4 of the pole's height, and its lower end is 2.5 m from the base of the pole. Calculate the height of the telegraph pole. - Summaries
A specialist teacher observes the time taken by each of the students with learning disabilities to complete a psychological task. She summaries the times using the following: Time Taken(mins) ; 1-5; 6-10; 11-12; 16-20 No. of Student ; 2 ; 4 ; 12; 4 Using - Parallelogram perimeter area
The parallelogram has side a = 58 cm and diagonals u = 89 cm and v = 52 cm. Calculate the perimeter and area of this parallelogram. - Statistical file characteristics
Determine the median, mode, arithmetic mean, variance, standard deviation, range of variation, and coefficient of variation of the character x in the statistical file: 2x 9, 7x 10, 9x 11, 11x 15, 15x 17, 16x 19, 13x 21, 10x 25, 9x 29, 4x 32 - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base? - Transmitter rope
A television transmitter 108 m high is anchored at 2/3 of its height (from the ground) by three ropes of equal length. How many meters of rope are needed for anchoring if it is embedded at a distance of 54 m from the foot of the mast, and we count 10% of - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Triangle
In triangle ABC, point S is the incentre (centre of the inscribed circle). The area of quadrilateral ABCS equals four-fifths of the area of triangle ABC. The side lengths of triangle ABC are all integers expressed in centimetres, and the perimeter of tria
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