Given that y varies inversely as the square of x. If x =3 when y =200. Find the equation connecting x and y

Simplify $2\tfrac{1}{4}\times 3\tfrac{1}{2}\div 4\tfrac{3}{8}$

If ${{\log }_{10}}(6x-4)-{{\log }_{10}}2=1$, solve for x

If $y-2x=4$and $y-3x=-1$, find the value of $(x-y)$

Simplify$\frac{2-18{{m}^{2}}}{1+3m}$

The volume of a cylindrical tank, 10m high is 385m³. Find the diameter of the tank [Take $\pi =\tfrac{22}{7}$]

A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector.[Take $\pi=\tfrac(22/7)]

In the diagram, PS and RS are tangents to the circle centre O, $\angle PSR=70{}^\circ $, $\angle POR=m$and $\angle PQR=n$. Find (m + n)

In the diagram, PR is a tangent to the circle  at Q , $QT\parallel RS$, $\angle SQR=35{}^\circ $and $\angle RSQ=50{}^\circ $Find the value of $\angle QST$

If M and N are the points (–3, 8) and (5, –7) respectively, find MN

The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot on the tree is 30^o. Find the height of the tree.

Given that Y is 20m on a bearing of 300^o from X, how far south of Y is X?

Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2

The table shows the distribution of goal scored by 25 teams in a football competition.

In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q,  R and S are the midpoint s of the sides of the rectangle as shown.

Calculate the area of the part of the rectangle that is not shaded

Find the values of x which is $\frac{x-5}{x(x-1)}$ undefined

Factorize completely the expression ${{(x+2)}^{2}}-{{(2x+1)}^{2}}$

If 3x ≡ 4(mod 5), find the least value of x.

if p and q are two statements, under what condition would p → q be false