Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
$9000
Step-by-step explanation:
A gym employee has earned in 3 months =$4500
Then his monthly salary =$4500/3 =$1500
After six months he will earn = 6 × his monthly salary
= 6×$1500=$9000
Answer:
-0.87 has the strongest linear relationship
Step-by-step explanation:
-0.87, since it is the closest value to either one or negative one,
0.8 is the second strongest
0.65 is the third strongest
-0.52 is the least strongest
Isometry is defined as the <span> transformation that is invariant with respect to the distance
The statement that is true for isometry that is corrrect is
</span><span>The preimage and the image are congruent.
</span>so correct option is A as both the preimage and image are congruent
hope it helps<span />
Exercise is important because of its positive on all the body systems in addition regular exercise reduces the risk factor of contracting many diseases various components of wellness often influence one another summarize how the components of health are related to wellness
