Celina built a model of a triangular pyramid. The model's height is shown in the diagram. If the volume of Celina's model is 96.37 cubic centimeters, what is the area of the triangular base in square centimeters?
Round answer to the nearest hundredth.

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Find the greatest common factor of the followig monomials 46g^2h and 34g^6h^6