Rithvik's Blog 11+

A right-angled triangle has one side with a length of 5 units and another side with a length of 12 units. Calculate the length of the hypotenuse of the triangle.

Simplify the following algebraic expression: (3x^2 - 4xy + 2x) + (-2x^2 + 5xy - 3x)

A cylindrical tank has a diameter of 12 meters and a height of 8 meters. The tank is filled with water up to a height of 6 meters. Calculate the volume of water in the tank, in cubic meters, correct to the nearest whole number. (Use π ≈ 3.14)

What is the equation of the line that passes through the points (-2, 3) and (4, -5)?

Find the solution to the system of equations below: 9x + 6y = 15 10x - 6y = 2

 If 2x + y = 8 and 3x - y = 1, find the value of x and y.

Solve the following system of equations: 2x + 3y = 7 4x - 5y = -1

Find the equation of the line that passes through the points (3, 5) and (-2, 1).

The perimeter of a rectangle is 90 meters, and its length is three times its width. Find the dimensions of the rectangle.

A rectangular tank measures 10 cm by 20 cm by 30cm. It is filled with water up to a height of 15 cm. What is the volume of the water in cubic centimeters, and what is its weight in grams, if the density of water is 1 gram per cubic centimeter?