Simplify the given algebraic expression.
Factorize the expression 2x^4 + 625
Construct an isosceles triangle ABC having base BC=6 cm and the altitude AD=4 cm. Also, construct a parallelogram CDEF equal in area to △ABC and having one angle CDE=45°.
If the length of the side of the base(BC) is 16 cm and the length of the lateral edge(PD) is 2√41 cm, find the volume of the pyramid.
If volume of cylinder with diameter of its base 14 cm is 2156 cm^3, find the height?
The total surface area of cone whose base is 5 m is 282 6/7 m^2. Find the slant height of the cone.
In the given figure, AB= 10 cm, AA' =20 cm, AC= 8 cm and the area of rectangular surfaces of the prism is 480 square cm, find the length of BC.
The present price of a motorcycle is Rs 225000. If its price is depreciated per year by 8%, after how many years the price of the motorcycle will be Rs 175204.8? Find it.
In the given figure, AD//BC. If the areas of the triangle ABE and Triangle ACF are equal, then prove that EF//AC.
The area of a rectangular room is 45 meters square. If the length of the room is 3m less and breadth is 1m more, it will be a square room, find the length and the breadth of the room.
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