That is the centroid.
The point where the lines from each vertex of the triangle to the midpoints of the opposite sides intersect.
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where
and
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:


The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>
Answer:
The required equation is
.
Step-by-step explanation:
Consider the provided information.
The Initial value of poster = $ 18
After 1 year amount of increase = $ 20.70
With the rate of 15% = 0.15
Let future value is y and the number of years be x.

Now verify this by substituting x=1 in above equation.

Which is true.
Hence, the required equation is
.
Answer:
Simplify
Step-by-step explanation:
You have to simplify the question:
= 5+9m+45+8
= 50+9m+8
= 58+9m
Answer:
Mary's mistake was that she didn't take into account of the power that 10 is raised to; since 2.01 is multiplied by 10 to the 6, it makes 2.01 bigger. You can also expand the number to check:
2 010 000 vs. 4800