Question
Simplify the expression: (5x + 15) / (x² + 3x)
Solution
Factor the numerator: 5x + 15 = 5(x + 3) Factor the denominator: x² + 3x = x(x + 3) Now the expression becomes: 5(x + 3) / x(x + 3) The simplified expression is 5 / x. Correct Answer: a)
The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
When the radius of a circle is increased by 1 cm, its area increases by 22 cm². What was the original radius of the circle?
The capacity of a cylindrical tank is 2376 m³. If the radius of the tank is 21 m, then the depth of the tank is:
The boundary length (perimeter) of a semicircle is 72 m. Find the area of a full circle whose radius is thrice the radius of that semicircle.
A circular field, which covers an area of 1386 square meters, is planned to be enclosed by a compound wall that rises to a height of 3 meters. The wall ...
The perimeter of a sector of a circle, whose radius is 17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector ...
A conical tent of height 5m and base diameter 24m was erected by a company in a park. Find the curved surface area of the tent (in m²).
A rectangular piece of land has a perimeter of 66 metres and length of 21 metres. If the area of the land is to be divided into 9 equal portions, then w...
Calculate the perimeter of a rectangle, given that a circle with an area of 308 cm² has a radius that matches the diagonal of a square. The ratio betwe...
A square is converted into a rectangle by increasing its length by 30 % and decreasing its width by 10%. Which of the following statements is true?
