<em>Answer: h = 120 ft; w = 80 ft </em>
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<em>A = 9600 ft^2</em>
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<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>
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<em>A = h*w (eq1)</em>
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<em>The total amount of fence used is:</em>
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<em>L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)</em>
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<em>Solving for w:</em>
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<em>w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:</em>
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<em>We derive this and equal zero to find its maximum:</em>
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<em> Solving for h:</em>
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<em>h = 120 ft. Replacing this into eq3:</em>
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<em>w = 80ft</em>
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<em>Therefore the maximum area is:</em>
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<em>A = 9600 ft^2</em>
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Answer:
20
Step-by-step explanation:
Technically cats only have one life even though they can survive falls and such
Total number of students = 35
Number of male students = 14
% of students that are male =
= 40 %
Answer:
16ft
Step-by-step explanation:
The answer is 16ft because the area of a trapezoid is a + b/2 x h.
5 + 8/2 = 13/2 = 6.5
104/6.5 = 16
The height is 16ft.
The standard form is Ax + By = C
Given the linear equation, y = x + 10, we must transpose x to the left-hand side of the equation:
- x + y = x — x + 10
- x + y = 10
Next, we must multiply both sides by (-1) because A must be positive:
(-1) (- x + y) = 10 (-1)
This leads to:
x — y = -10 in standard form, Ax + By = C
