Mathematical Induction is used in proving the statement is which holds the element in processing another statement and also proves that it is the key to proceed to another statement. In geometry, it is used to proved that the present geometric pattern hold the element in continuing in predicting the next geometrical pattern and also the next pattern also has this element.
The volume of a prism is given by
Where is the base are and is the height.
So, if two prisms have the same height and the same volume, they must have the same base area.
The first base is an equilateral triangle, which means that the height is given by
So, the area is
The area of the second base is simply the product of the dimensions, so it is
Since the two areas must be the same, we have
Attached are two different strategies you could use to find this answer. One of the strategies sets this up as an equation you need to solve, and the other one sets it up as a proportion.
He spent a total of 50 minutes on homework.
Answer:
Part A: it appears hector starts running during part 1 and slows down during Part two, He takes a break during part 3 and returns home at a constant rat during 4
B. Hector is running quickest during interval 1 as it is the steepest line. He is running the slowest during interval 3 because he has stopped and is resting.