Hey there!
The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.
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Ways of choosing 3 course meal 5*10*4=200 Ways of choosing 2 course meal (5*10)+(5*4)+(10*4)=110 Ways of choosing 1 course meal 5+10+4=19
possible ways of choosing at least 1 option: =(ways of choosing 3 course meal)+(ways of choosing 2 course meal)+(ways of choosing 1 course meal)= 200+110+19=329
329 combinations.
The formula for volume is length × width × height, so this is the same as area of cross section × height. So, if the base of the rectangular prism (the cross section) has an area of 48 square feet, then 48 × the height = 192 cubic feet. Working backwards, we can find out the height (h will stand for height):
48×h=192
h=192÷48
h=4
Therefore, the height of the rectangular prism is 4 feet