Answer:
A = (100 - y)y
Maximum area = 2500 sq. feet.
Step-by-step explanation:
Let the length of the combined rectangular area is y feet and the shared width is x feet.
So, perimeter of the two rectangle together is (3x + 2y) = 200 {Given}
⇒ 2y = 200 - 3x
⇒ ...... (1).
a) Now, area of the total plot in sq. feet is ........ (2)
So, this is the expression for area A in terms of length of shared side x.
b) For area to be maximum the condition is
Now, differentiating equation (2) on both sides with respect to x we get
⇒ x = 33.33 feet.
So, from equation (1) we get
⇒ x = 50 feet.
So, the value of maximum area = 50 × 33.33 = 1666.5 sq. feet. (Answer)
Answer:
use formula when diameter is given
circumference of circle =πd
and
when radius is given
circumference of circle=2πr
hope this help
- 6π inch
- 18πcm
- 15π ft
- 8π m
- 12π ft
- 4π yd
Answer:
The number line is attached.
Step-by-step explanation:
The holes are filled in since they are both inclusive of the value they hold, and there are two separate lines since they are broken apart by "or".
The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.
<h3>
What is the Angle Bisector Theorem?</h3>
The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.
Note that the angle that has been dissected here is ∠CBD. Thus,
=
See the link below for more about Angle Bisector Theorem of the Triangle:
brainly.com/question/21475560
Make x the subject means you need to solve for x
y = ax^2 solve for x
divide both side by a
y/a = ax^2/a
simplify
y/a = x^2
so
x = square root (y/a)