A car travels at 40 kilometers per hour traveled for 7 hours. The table of the distances traveled with respect to time is shown below.
Observe the relationship between the distance traveled and the time. As the time increases, the distance traveled increases. If the number of hours increases two times, then the distance also increases two times. Between hour 1 and hour 2, the increase in time is 1 hour, and the increase in distance is 40 kilometers. Between hour 3 and hour 5, the increase in time is 2 hours, and the increase in distance is 2(40) = 80 kilometers.
If there are two changing quantities and and if the value of changes 2 times, 3 times, and so on, also changes 2 times, 3 times, and so on respectively, we can say that is directly proportional to . In the relationship above, distance is directly proportional to time. Continue reading
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A rhombus is a parallelogram whose sides are congruent. The diagonals of rhombus are perpendicular to each other. They also bisect each other. In this post, we are going to find the general formula for finding the area of a rhombus using these properties. We are going to learn two methods.
Consider the rhombus below.
We can divide it into two congruent triangles using diagonal . Since the diagonals of a rhombus are perpendicular to each other, we can use as base and one half of as the height of the upper triangle (Why?). If we let be the area of the upper triangle, then, calculating its area, we have Continue reading