Answer:
(a) 
(b) 
(c) Maximum area
square meters
Step-by-step explanation:
(a)
Given:
Total length for fencing = 160 m
Width of the rectangle = 
m.
Let the other length of the rectangle be 
m.
Then, from the figure,
Now, area of a rectangle is equal to the product of its length and width.
So, area is, 
(b)
Given:
For maximum area, derivative of area with respect to must be 0.
So, 
Therefore, for maximum area, .
(c)
Given:
Maximum area occurs at 
. Plug in 40 for in 
expression. This gives,
Maximum area is,
Therefore, maximum area is 3200 square meters.
Answer:
37
Step-by-step explanation:
1.90x20 = 38 (This is how much she was paid)
70-38 = 37
Formula:
How much she paid (Running costs) - How much she was paid = Total loss
Answer:
An adult ticket is 17
A childs ticket costs 12 dollars
Step-by-step explanation:
Let a = adult price
c = child price
3a + 4c = 99
2a + 3c = 70
Multiply the first equation by 2
2(3a + 4c) = 99*2
6a + 8c = 198
Multiply the second equation by -3
-3 (2a + 3c) = 70*-3
-6a -9c = -210
Add these new equations together
6a + 8c = 198
-6a -9c = -210
----------------------
-c = -12
Multiply by -1
c = 12
A childs ticket costs 12 dollars
Now we need to find the price of an adult ticket
2a + 3c = 70
2a + 3(12) = 70
2a +36 = 70
Subtract 36 from each side
2a +36-36 =70-36
2a = 34
Divide by 2
2a/2 = 34/2
a = 17
An adult ticket is 17
Answer:
29.5
Step-by-step explanation:
diagonal = sqrt(a^2 +b^2)
20 = sqrt(12^2 +b^2)
20= sqrt(144+b^2)
20^2 = 144 + b^2
400 = 144 + b^2
256 = b^2
b = sqrt(256) = 16
it is 16 inches wide
