The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
<h3>What is a mathematical model?</h3>
A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.
The model, which represent the cost of window in dollar, is,
C=(n²/5)+175
A window costs $355. Thus, C=355. Put this value in above model as,
355=(n²/5)+175
355-175=(n²/5)
180 x 5=n²
n=√(900)
n=30
Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
Learn more about the mathematical model here;
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F should be -1, 6
E should be -4, 2
D should be -4, 9
Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by 
. We are given the perimeter of the pool along with the width.
From here, all we have to do is plug back into the original formula:
Which can be further simplified as:
From here, all we have to do is add 70 to both sides of the equation and divide by four:
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.
Hello!
All you have to is isolate the X variable :)
X + 25 = 45
X = 45 - 25
X = 20
I hope this helps :))
