Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
951hz divide by 343m/s = <span>2.77259475
times the answer by 99hz = </span><span>274.48688
to 1 d.p is 274.5m/s</span>
Answer:
Step-by-step explanation:
The prime cost = 4 times the value of material used
Former Prime cost = 540
Value of material = 540 / 4 = Rs. 135
Since ;
Prime cost = raw material + wages
540 = 135 + wages
Wages = 540 - 135
Wages = 405
Increase in raw material ; 3 : 4
New cost of raw materials = (4/3) * 135 = 180
Decrease in wage ; 4 : 5
New wage = 4/5 * 405 = 324
New prime cost :
180 + 324
= 504
463.01
Is that it, I'm pretty sure it is.
G was reflected over the x-axis and shifted down by 5. f rests at (0,0) as its only x-intercept and g doesn't have any intercept, because it starts at y=-5 and only goes further down in both x directions.
