The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2
If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m
Try any other value for x and the area will be smaller.
Answer:
25%
Step-by-step explanation:
Let the original price of A pair of skis be $100
discount given on A pair of skis = 20% on original price
discount value of A pair of skis in $ = 20% * $100
= (20 * 100)/100 = $20
discounted price of A pair of skis = original price - discount = 100 -20 = $80
in order to increase discounted price to original price of $100
there must be increase of $20 to discounted price which is $80
percentage increase on discounted price to return to the original price =
therefore 25% must be increase on discounted price to return to the original price
Answer:24
Step-by-step explanation:
Answer:
It would change to 0.04802
Step-by-step explanation:
from this question we have that n became 400
40% of 400
= 160
p* = 160/400
= 0.4
1 - p* =
= 1 - 0.4
= 0.6
at confidence level,
1 - 0.95
= 0.05
alpha/2 = 0.025
z= 1.96
<u>margin of error. E</u>
= 1.96 x √[(0.4 x 0.6)/400]
= 1.96 x 0.0245
= 0.04802
M.E = 0.04802
Answer:
![\sqrt[3]{9}= 2.08008...](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7D%3D%202.08008...)
Step-by-step explanation:
I used a calculator but 9 is not a perfect cube
