Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
74....74....74............
According to Greg himself (probably a master at pies) says perfect cherry pies have a ratio of 240 cherries to 3 pies. First, we need to divide 240 cherries by 3 pies to find out how many cherries are in one pie.
240 / 3 = 80
Then multiply by 9 to get your answer.
9 * 80 = 720
Answer:
The desired expression is 19 x (3 tens) = 19 x 30 = 570
So, the greatest ten = 3 (tens)
Step-by-step explanation:
Let us check each tens.
19 x (1 ten) = 19 x 10 = 190
19 x (2 tens) = 19 x 20 = 380
19 x (3 tens) = 19 x 30 = 570
19 x (4 tens) = 19 x 40 = 760
But, here 760 is OVER the given term 684.
and 570 is the nearest value to the value 684.
So, the desired expression is 19 x (3 tens) = 19 x 30 = 570
Answer:
25 = base
Step-by-step explanation:
I searched all of this on YT to try and help
so first we need to know the area of a Trapezoid
A = 1/2h(b + b)
86 = 1/2(18 + b)4
we dont know the base where going to put b
we also dont like fractions so where going to get rid of 2 by multiplying 2 by 2. And we do it in both ends, so where doing the same with our Area.
172 = (18 + b)4
the 4 is multipling so divide it on both ends.
43 = (18 + b)
then do the opposite operation on the 18, by subtracting 18 on both sides.
25 = b
is the base
check the work by plugging it back in
A = 1/2h(b + b)
A = 1/2 4(18+25)
A = 1/2 4(43)
A = 1/2(172)
A = 86in