$($For Problems $1-2)$ USE A$=$L$90$x$75$x$6$ USE B$=$C$7$x$12\mathrm{.}25$ USE C$=$W$24$x$146$

Determine the properties of the combined sections shown below

a$.$ Area

b$.$ Centroid

c$.$ Moment of inertia $($Ix and Iy$)$

d$.$ Section Modulus $($Sx and Sy$)$

e$.$ Radius of gyration $($rx and ry$)$

f$.$ Section modulus at an axis of max moment of inertia $(S_{\text{m}\text{a}\text{x}\text{i}})$

g$.$ Radius of gyration at an axis of min moment of inertia $(r_{\text{m}\text{i}\text{n}\text{I}})$

$\backslash$table$[["$B$",$Channel Section,${?}^n{C}^{\text{'}\text{'}},$Wide Flange Section,"A $A^{\text{'}},$Anqle Section$],[0,$C$15$X$50,0,$W$30\backslash$times $99,0,L65508$