A rancher wants to enclose a rectangular field with 220 ft of fencing.
One side is a river and will not require a fence.
What is the maximum area that can be enclosed?
:
The field requires only 3 sides of fence, therefore
L + 2W = 220
L = (220-2W); we can use this for substitution in the Area equation
:
Area
A = L*W
replace L with (220-2W)
A = W(220-2W)
A = -2W^2 + 220W
A quadratic equation, max A occurs at the axis of symmetry, x = -b/(2a)
In this equation
W = %28-220%29%2F%282%2A-2%29
W = 55 ft is the width for max area
:
Find the max area
A = -2(55^2) + 220(55)
A = -2(3025) + 12100
A = 6050 sq/ft is the max area
:
:
Confirm this with the dimensions calculated; 110 * 55 = 6050
Answer:
<h3> 20 feet </h3>
Step-by-step explanation:
x - the hight of another sail
<span>What is u in this equation means: solve for u
</span>
<span>
Done :)
</span>
The value of x = 24
Step-by-step explanation:
The proportion is set as ;
Applying cross product
9*16=6*x
144=6x --------simplify by dividing by 6 both sides
144/6 = 6x/6
24=x
Learn More
Proportion in Enlargement : brainly.com/question/9930004
Keywords : proportion, enlargement ,triangles, cross products
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The expression that represents the amount mother spent is 4 × 5.00 + 2.00.
This outing will cost $22.00.
Solution:
Number of members in a family = 4
Cost of one ticket = $5.00
Cost of soft drink = $2.00
Mother spent = Number of members × Cost of each ticket + Cost of soft drink
= 4 × 5.00 + 2.00
The expression that represents the amount mother spent is 4 × 5.00 + 2.00.
To solve this expression using PEDMAS rule.
First do multiplication.
4 × 5.00 + 2.00 = 20.00 + 2.00
Now do addition.
4 × 5.00 + 2.00 = 22.00
Hence this outing will cost $22.00.
