Answer:
Shorter side = 755 yd
longer side = 1510 yd
A(max) = 1140050 yd²
Step-by-step explanation:
The owner has 3020 yd of fencing
Lets assume:
x the shorter side of the rectangle ( we will use fencing in two sides of length x )
y the longer one
A area of the rectangle and P the perimeter of the rectangle ( we have only three sides covered by fencing material)
We have: A = x * y P = 2 * x + y ⇒ y = P - 2*x ⇒ y = 3020 - 2* x
A (x) = x * ( 3020 - 2*x) ⇒ A(x) = 3020 * x - 2* x²
Taken derivative
A´(x) = 3020 - 4 * x
If A´(x) = 0 3020 -4*x = 0 ⇒4*x = 3020 x = 755 yd
If we take second derivative A´´(x) = -4
so A´´(x) < 0 so there is a maximun in point x = 755
Then
Rectangle dimensions :
x = 755 yd ⇒ y = 3020 - 2 * x ⇒ y = 3020 - 2 * (755) y = 1510 yd
Maximum area is : A(max) = 1510 * 755 ⇒ A(max) = 1140050 yd²
To get the largest area, 3020 yards of fencing is divided equally to form a rectangular grazing piece. Each side is 1510 yards, leading to a total area of 2,280,100 square yards.
We are given a total of 3020 yards of fencing which is used to fence two sides of a rectangle, with a river enclosing the third side. The largest area of a rectangle is obtained when the rectangle is a square. However, since one of the sides is the river, and hence not fenced, the rectangle is not square but should be as close to a square as possible to give the maximum area.
The optimum distribution is dividing the fence into two equal parts for both sides of the rectangle, so each side will be 3020 / 2 = 1510 yds. The dimensions of the largest area he can enclose are: shorter side = yd, longer side = 1510 yds.
The area of this rectangular grazing land would then be 1510 yd * 1510 yd = 2,280,100 yd2.
#SPJ3
Answer:
525 foot is the answer
Answer:
40 goalas
Step-by-step explanation:
30% x ? = 12
12/30% =
12/(30/100) =
(100 x 12)/30 =
1,200/30 =
40
Answer:
36 miles
Step-by-step explanation:
If she can drive 12 miles only using 1/3 of a gallon of gas, that means if she uses a full gallon (3/3) she would be driving 36 miles.
12/1 x 1/3
36/1 x 3/3
Multiply the numerators by 3.
a. Calculate the z-score for Todd's test grade.
b. Calculate the z-score for lan's test grade.
c. Which person did relatively better?
Part A
For Todd's class, we have this given info:
Compute the z score for x = 74.6
z = (x-mu)/sigma
z = (74.6 - 70.6)/(11.9)
z = 0.34 approximately
Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.
======================================================
Part B
For Garret's English class, we have:
Compute the z score for x = 68.8
z = (x-mu)/sigma
z = (68.8 - 63.7)/(8.6)
z = 0.59 approximately
======================================================
Part C
Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.
Which point is a representation of cruising height in feet?
Point A
Point B
Point C
Point D
Answer:
Point C.
Step-by-step explanation:
Hope this helps!
Answer:
c
Step-by-step explanation:
hope i helped hehe :)