Answer:
The answer is below
Step-by-step explanation:
a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.
the perimeter of a rectangle is given as:
Perimeter = 2(length + width) = 2(l + w)
Hence;
400 = 2(l + w)
200 = l + w
l = 200 - w
The area of a rectangle is given as:
Area = length × width
Area = (200 - w) × w
Area = 200w - w²
b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a
Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:
w = -b/2a = -200/2(-1) = -200/-2 = 100
A width of 100 yard has the largest area
c) l = 200 - w = 200 - 100 = 100 yards
Area = l × w = 100 × 100 = 10000 yd²
The maximum area is 10000 yd²
Answer:
Mary is 
times heavier than her sister
Step-by-step explanation:
Mary's Weight = n
Sister's Weight = n - 15
To find how many times mary is heavier, we need to multiply "that many time" [let it be x] with sister's weight to get Mary's weight.
<u>e.g. </u>If someone weighs 100 and another person 50, 50 * 2 = 100, thus, 100 kg person is 2 times heaving. We do same for this:
(n - 15) * x = n
x = n/(n - 15)
<em>b) 30</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>
the side opposite the angle of 30 is </em><em>half</em><em> the hypotenuse</em>
<em>x = 2×15</em>
<em>x = 30</em>
<em>Good luck !</em>
-12x = -48
-12x/-12 = -48/-12
x = 4
hope this helps
Answer:
g(XS)
Step-by-step explanation:
bring it up 2 squares ftom 4
