Solve the equation: sin x = 1/2, 0 ≤ x ≤ 2π
The solutions for sin x = 1/2 in the given interval are: x = π/6 and x = 5π/6
The base of a right prism is a regular hexagon of side 5 cm. If its height is 12 √3 cm, then its volume (in cm²) is:
In triangle ABC, AD is the angle bisector of angle A. If AB = 8.4 cm and AC = 5.6 cm and DC = 2.8 cm, then the length of side BC will be:
The sum of the total surface areas of two cubes is 1326 cm2. If the product of the length of their edges is 98 cm2, then find the ...
The area of four walls of a room is 160 cm2. If the length and breadth of the room were equal and the height of the room is 5 cm, then what i...
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 115˚ , then the measure of angle P is:
A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
Find the coordinates of the points where the graph 57x – 19y = 399 cuts the coordinate axes.
(a) x – axis at (– 7,0) and y – axis at (0, ...
The perimeter of a rectangle is 300m. If the difference between the length and breadth of the rectangle is 10m, then what is the circumference of the l...
The lateral surface area of a cube is 1024 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 1...
The diagonal of the floor of a rectangular closet is 7.5 ft. The shorter side of the closet is 4.5 ft.
What is the area of the closet in square feet?
