The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
Read more about Maximization of Area at; brainly.com/question/13869651
#SPJ1
The slope of the parallel line is undefined and the slope of the perpendicular line is 0
<h3>How to determine the slope?</h3>
The equation is given as:
x = 1
The above do not have any y value.
This means that the slope of the line is undefined
i.e.
m = undefined
The slope of the parallel line is:
Slope = m
This gives
Slope = undefined
The slope of the perpendicular line is:
Slope =-1/m
This gives
Slope = -1/undefined
Slope = 0
Hence, the slope of the parallel line is undefined and the slope of the perpendicular line is 0
Read more about slopes at:
brainly.com/question/3605446
#SPJ1
Answer: B.
Step-by-step explanation: A triangle is 180 degrees. m< a + b + c = 180, so 75+20+x=180, so x = 85. B.
Answer:
80.5 feet
Step-by-step explanation:
The formula for a triangle is 1/2 base times height. So it is 1/2 of 14 times 11 1/2. Which is also equal to 7 times 11 1/2. That equals 80.5. I hope this helps! Please mark me brainliest!
In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on.
Quadrilateral
Some types of quadrilaterals
Edges and vertices4Schläfli symbol{4} (for square)Areavarious methods;
see belowInternal angle (degrees)90° (for square and rectangle)
The origin of the word "quadrilateral" is the two Latin words quadri, a variant of four, and latus, meaning "side".
Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave.
The interior angles of a simple (and planar) quadrilateral ABCD add up to 360 degrees of arc, that is
{\displaystyle \angle A+\angle B+\angle C+\angle D=360^{\circ }.}
This is a special case of the n-gon interior angle sum formula (n − 2) × 180°.
All non-self-crossing quadrilaterals tile the plane by repeated rotation around the midpoints of their edges.
