Answer:
4289.03 metres
Step-by-step explanation:
Given that standing on one side of the Mississippi River, you notice a tall tree directly across from you on the opposite bank. You walk 2000 meters along the bank and the tree is still visible, but at an angle of 65° to the bank
Visualise the right triangle formed by the river directly across in the first position , 2000 metres the distance walked along the bank and the line (here hypotenuse) joining you new position and the vertex opposite the bank
We have 65 degress angle has opposite side as width of river and adjacent side as 2000 m
Using trignometrical ratio
we get
, where x is the width of river
metres
(-6,-6)
x=-6 and y=-6
Im glad I can help you.
The first thing we should do is write the functions.
For the area we have:
A = w * h = 20000 feet ^ 2
The price is:
Cost = (4 * 2 * h + 2 * 2 * w)
Substitute for h ::
C (w) = (4 * 2 * (20,000 / w) + 2 * 2w)
Rewrite we have:
C (w) = 160,000 / w + 4w
Take the derivative:
C '(w) = 160000 (-1 / w ^ 2) + 4
We equal zero and clear w:
0 = 160000 (-1 / w ^ 2) + 4
160000 / w ^ 2 = 4
w ^ 2 = 40000
w = 200 (approximately)
width = 200 ft; so cost is 2 * ($ 4) 200 = $ 1600
height = 20000/200 = 100 ft; so cost is 2 ($ 2) 100 = $ 400
Total cost = $ 2000
Answer:
The cost of the least expensive fence is:
Total cost = $ 2000
6% = 0.06
The total cost of a $12.50 item plus 6% sales tax :
$12.50 * 1.06 = $13.25
Answer
$13.25
