Solve the following system of equations by the method of substitution.
@^\begin{aligned}
(m + n) \space x + (m - n) \space y = m^2 + n^2 \\
(m - n) \space x + (m + n) \space y = m^2 + n^2
\end{aligned}@^
A.
^@ x = \dfrac { n^2 + m^2 } { 2 m } \text{ and } y = \dfrac { m^2 + n^2 } { 2 m }^@
B.
^@ x = \dfrac { m^2 - n^2 } { 2 m } \text{ and } y = \dfrac { m^2 + n^2 } { 2 m }^@
C.
^@ x = \dfrac { m^2 + n^2 } { 2 m } \text{ and } y = \dfrac { m^2 + n^2 } { 2 m }^@
A chord of a circle of radius ^@ 36 \space cm ^@ subtends a right angle at the center. Find the area of the corresponding minor segment.^@ \bigg[\pi = \dfrac { 22 } { 7 } \bigg] ^@
A wooden pillar consists of a right circular cylinder and a cone as shown in the picture. The radius of the cone and the cylinder is 4 cm. The height of the cylinder and the cone is 25 cm and 9 cm respectively. If the density of wood is 2 grams per cm3, find the weight of the wooden pillar. (Assume π =
Germany
