let's notice something, angles α and β are both in the I Quadrant, and on the first quadrant the x-coordinate/cosine and y-coordinate/sine are both positive.
27.c squared equals A squared plus b squared so its 45squared=34squared +b squared so its 2,025=1,156+c squared and that equals 869=Csquared and you have to get of C squared so you square root it and the C squared cancels out and you have to do it on the other side too so your answer is 2947
Answer:
- 400 yards by 400 yards
- 160,000 square yards
Step-by-step explanation:
The maximum area polygon for a given perimeter is a <em>regular</em> polygon. The regular 4-sided polygon is the square. Each side length will be ...
(1600 yd)/4 = 400 yd
The area will be (400 yd)² = 160,000 yd².
The maximum area Diana can enclose is a square 400 yards on each side, for a total of 160,000 square yards.
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On dimension can be represented by x, and the other by y. The sum of the two dimensions will be half the perimeter, so we have ...
y = 800 -x
The area is then ...
A = xy = x(800 -x)
This equation describes a parabola that opens downward. It has zeros at x=0 and x=800. The vertex (maximum area) is on the line of symmetry halfway between those values, at x = 400. Then y = 800 -400 = 400, and the rectangle is a square.
The equation is y = -x + 8