Answer:
dimension are 350 m and 350 m and
area is 122500 m²
Step-by-step explanation:
Given data
perimeter is 700 m
to find out
the largest area and its dimensions
solution
we consider x and y are the sides
so area is xy
perimeter is 2x+ y = 700
so we can say y = 700 -2x
so area will be = x (700 - 2x)
area = 700x - 2x²
we take derivative here and equal to zero
dA/dt = 700x - 2x²
700 - 4x = 0
x = 700/4
x = 175
so will be
y = 700 -2x
y = 700 -2(175)
y = 350
so dimension are 350 m and 350m
area is 122500 m²
Basically, you are looking for the ARC SINE of .994 which is
83.72 Degrees
You could also use an online calculator:
http://www.1728.org/trigcalc.htm
Answer:
a) = Slope of line AB = 1/2
<h2><em><u>
Perpendicular = -2</u></em></h2>
<h2>b) <em><u>
y = -2x + 6</u></em></h2><h2 />
Step-by-step explanation:
a) When it is perpendicular the answer will be positive if the initial value is negative. If it is a whole number, then the perpendicular number is going to be a fraction. The opposite applies.
b) Slope = -2x
intercept = ?
y = -2x + b
0 = -6 + b
+6 +6
b = 6
<em><u>y = -2x + 6</u></em>
