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.
Volume of a Cylinder (Drum) = πr²h
Substitute the known values,
v = 3.14 * (1.2)² * 4
v = 18.09 Ft³
Now, price for 1 Ft³ = $22
So, for 18.09 Ft³ would be: 22 * 18.09 = $397.9
In short, Your Answer would be: $397.9
Hope this helps!
X = -2
3 x -2 = -6
-6 -2= -8
|-8| = 8
-2 + 1= -1
|-1|=1
As with any triangle, the sum of angles is 180°.
(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4
(b)
Angle A = x -5 = 30 -5 = 25
Angle B = 3x +30 = 3*30 +30 = 120
Answer:
-3/4
Step-by-step explanation:
change them to improper fractions
-5/2 - (-7/4)
now multiply -5/2 by two so the denominators are the same
-10/4 - (-7/4)
subtracting a negative number is the same as adding a positive number
-10/4 + 7/4
= -3/4