if a slope is 4/9 on graph paper and each cube is 100 meters how long is the slope?
If the slope on graph paper has a slope of 4/9, this means that for every 4 units in the vertical direction, there are 9 units in the horizontal direction. We can use this ratio to find the length of the slope in meters.
Let's assume that the slope rises 4 units in the vertical direction for every 9 units in the horizontal direction. This means that the slope has a rise of 4 cubes and a run of 9 cubes on the graph paper. Since each cube represents 100 meters, the rise of the slope is 4 x 100 = 400 meters and the run of the slope is 9 x 100 = 900 meters.
To find the length of the slope, we can use the Pythagorean theorem:
length^2 = rise^2 + run^2
Substituting the values we found, we get:
length^2 = (400)^2 + (900)^2
Simplifying, we get:
length^2 = 160000 + 810000
length^2 = 970000
Taking the square root of both sides, we get:
length = sqrt(970000) = 985 meters (rounded to the nearest meter)
Therefore, the length of the slope is approximately 985 meters.