It would end up being .63¢
Answer:
If you draw this out, you can see that total fence equation will be:
2L + 4W = 1200
Simplify, divide by 2
L + 2W = 600
L = (600-2W)
:
Area;
A = L*W
Substitute (600-2W) for L:
A = (600-2W)*W
A = -2W^2 + 600W; a quadratic equation
:
The dimension that will produce the greatest area will be the "axis of symmetry
which is: x = %28-b%29%2F%282a%29
:
In this equation a=-2, b=600
W = %28-600%29%2F%282%2A-2%29
W = %28-600%29%2F%28-4%29
W = +150 ft is the width
:
Find the length
L = 600 - 2(150)
L = 300 ft is the length
:
We can say the a field 300 by 150 gives he greatest area
:
This illustrated on a graph where y axis is the area and x axis is the width:
Step-by-step explanation:
Answer:
<h3>Q1</h3>
- This is acute angle since 75° < 90°
<h3>Q2</h3>
- This is an isosceles triangle
<h3>Q3</h3>
<u>Exterior angle is the sum of non-adjacent interior angles:</u>
- 4x + 7 + 6x - 9 = 118
- 10x - 2 = 118
- 10x = 120
- x = 12
m∠L = 4*12 + 7 = 48 + 7 = 55°
<h3>Q4</h3>
<u>The triangles are congruent and corresponding sides are equal:</u>
- 3x - 5 = 2x + 1
- 3x - 2x = 1 + 5
- x = 6
<u>Side lengths are:</u>