In the figure, the line segment ST is tangent to two circ...
In the figure, the line segment ST is tangent to two circles at S and T. O and Q are the centres of the circles wih OS = 5cm. QT = 2cm and OR = 14cm. Find ST
7 \(\sqrt{3}\)cm
12.9cm
\(\sqrt{87}\)cm
7cm
Correct answer is B
SQ2 + OS2 = OQ2 + 52 = 142
SQ2 = 142 - 52
196 - 25 = 171
ST2 + TQ2 = SQ2
ST2 + 22 = 171
ST2 = 171 - 4
= 167
ST = \(\sqrt{167}\)
= 12.92 = 12.9cm
In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. ...
G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100 ...
The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms....
Simplify 3\(\sqrt{45} - 12\sqrt{5} + 16\sqrt{20}\), leaving your answer in surd form....
Given the matrix \(A = \begin{vmatrix} 3 & -2 \\ 1 & 6 \end{vmatrix}\). Find the inverse of ...