Geometry: Mensuration, Trigonometry

The one-third of the Supplementary angle to 30° is–

How many spokes are there in a wheel of a bicycle, if any two spokes form an angel of 15°.

If the volume of a cube is 27 cubic meters, find the surface area of the cube?

Find an equation for the line with x-intercept = 2, y-intercept = - 1.

A rectangle and a square have the same area. The square has a perimeter of 32 meters and the length of the rectangle is 4 meters. What is the width of the rectangle (in meters)?

If tan (x − 30°) = 1/√3, cosx = ?

In the figure below, the value of y is -

In the triangle ABC if AB > AC then which of the following is true?

The area of a circle is 36π cm². The circumference is equal to

A square park is surrounded by a path of uniform width 2 meters all around it. The area of the path is 288 sq. meters. Find the perimeter of the park.

A rectangular fish tank has internal dimensions 80 cm × 60 cm × 15 cm can be filled with tap A at the rate of 680 cm³ every 2 minutes, and can be emptied with tap B at a rate of 140 cm³ per minute. If Jamal leaves both taps are opened at 2:30 pm, when will the tank be filled to 1/3^rd its capacity?

If the areas of a right triangle is 6 square metres and the hypotenuse is 5 meters. What is the perimeter of the triangle?

If isosceles ΔDEF has sides of length 11.5 and 13.7, which of the following could be the perimeter of the triangle ?

The angels of a pentagon are in ratio 9 : 10 : 12 : 14 : 15. What is the sum of measure of the smallest and largest angels?

Lubna has purchased a square sheet of plywood of 289 square feet area. To cover a wall she must cut of two feet from side. What is the area, in square feet, of the wall?

Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 m.

The interior angles of a polygon are in AP. The smallest angle is 120° and the common difference is 5°. Find the number of sides of the polygon.

Two circles of equal radii touch externally at a point P. From a point T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. The relation of TQ and TR is-

What is the percentage increase in the area of a rectangle, if each of its side is increased by 25%?

A room 8m long, 6m high and 22.5cm thick is made up of bricks, each measuring 25 cm × 11.25 cm × 6cm. The number of bricks required is.