Answer:18/5
Step-by-step explanation:
Answer:
similar triangles
Step-by-step explanation:
First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.
From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:
Answer:

Step-by-step explanation:
This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:

We can simplify and come up with:
=
We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive
.
Hope this helped!
Answer:
36.1 meters
Step-by-step explanation:
Since this is a rectangle, the parallel sides are equal to each other, meaning we technically already know all the side lengths.
I'll choose to look at the bottom triangle in this case
30 is already there, and the other leg should be 20. Knowing this, we can plug these into the pythagorean theorem.
20 is A, 30 is B, and the missing side is C

C, the missing side to the nearest tenth is 36.1 meters