To find out, match the letter that corresponds to the answer to the numbered item on your left. The letters will spell out the name of this Filipino Mathematician.
" \( z \) varies jointly as \( x \) and \( y \) "
1. Translate into variation statement
2. If \( z=36 \) when \( x=3 \) and \( y=2 \), find \( k \).
3. \( x \) is 4 when \( y=3 \) and \( z=2 \). What is \( z \) if \( x=8 \) and \( y=6 \).
The area \( a \) of a triangle varies jointly as its base \( b \) and height \( h \).
4. Express the relation as a variation statement.
5. If the area is \( 15 \mathrm{~cm}^{2} \) when the base is 5 cm and the height is 6 cm , find \( k \).
6. If \( a=65 \mathrm{~cm}^{2} \) when \( b=10 \mathrm{~cm} \) and \( h=13 \mathrm{~cm} \), find \( a \) when \( b=8 \mathrm{~cm} \) and \( h=11 \mathrm{~cm} \).
\begin{tabular}{ll}
E & 8 \\
B & \( a=\frac{k b}{h} \) \\
D & \( \frac{1}{2} \) \\
F & \( z=\frac{k x}{y} \) \\
U & 6 \\
N & \( a=k b h \) \\
A & \( 44 \mathrm{~cm}^{2} \) \\
H & \( z=k x y \)
\end{tabular}
Answer: