For the following equation, find the value of x.
Solve for y in terms of the other symbols
If a regular polygon of ten sides is inscribed in a circle of radius r units, then, if s units is the length of the side,
Solve this formula for s in terms of r.
A right circular cylinder, radius of base x, height y, is inscribed in a right circular cone, radius of base r and a height h. Express y as a function of x (r and h are constants).
Refer to the figure below.
By ratio and proportion of two similar triangles ΔBCD and ΔACE, we have
The stiffness of a beam of rectangular cross section is proportional to the breadth and the cube of the depth. If the breadth is 20 cm, express the stiffness as a function of the depth.
Let S=stiffness, b=breadth, and d=depth
Express the area A of an equilateral triangle as a function of its side x.
From the formula of the area of a triangle, . Also, we know that an interior angle of an equilateral triangle is 60 degrees, and
Express the distance D traveled in t hr by a car whose speed is 60 km/hr.
If , find x as a function of y.