Assuming the rectangles made will be of the same size:
Perimeter = 2(l + b)
For two rectangles,
Perimeter = 2 x 2(l + b)
240 = 4(l + b)
l + b = 60
l = 60 - b
Area = l x b
Area = 60b - b²
dA/db = 60 - 2b
Putting dA/db = 0
b = 30
Length = 60 - 30 = 30
Greatest available area of one triangle = 30 x 30
= 900 sq yd
Greatest total area that can be enclosed in both triangels
= 900 x 2
= 1800 sq yd
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
Answer:
A.
Step-by-step explanation:
5x8 enlarged to 10x16
10 is 5x2 and 16 is 8x2
well, -5/8 is -0.625.
the absolute value of -0.625 is 0.625.
and abs value of -5/8 is 5/8
The total number of points scored on the test woukd be 200. the independent variable would be x, or the number of questions answered correctly. the dependent would be the points scored because the points scored depends on how good you did on the test.
