The complete question in the attached figure
Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm
the answer part a) isAB=6 cmPart b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³
the answer part b) is 100 cm³
Answer:
C
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
= 
Thus the ratio of Δ EFG to Δ LMN = 2 : 1 → C
Answer:
Hyperbola.
Step-by-step explanation:
We start from the function:

We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:

The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).