Triangles ABC and DEF are right triangles, as shown. A ABC is similar to A DEF
1 answer:
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Answer:
The volume is 3825 cubic units
Step-by-step explanation:
To find the volume of the fish tank multiply out the dimensions.
We were given the dimensions as:
Change the numbers to improper fractions
We cancel out to get
The maximum value of the objective function is 330
<h3>How to maximize the objective function?</h3>The given parameters are:
Max w = 5y₁ + 3y₂
Subject to
y₁ + y₂ ≤ 50
2y₁ + 3y₂ ≤ 60
y₁ , y₂ ≥ 0
Start by plotting the graph of the constraints (see attachment)
From the attached graph, we have:
(y₁ , y₂) = (90, -40)
Substitute (y₁ , y₂) = (90, -40) in w = 5y₁ + 3y₂
w = 5 * 90 - 3 * 40
Evaluate
w = 330
Hence, the maximum value of the function is 330
Read more about objective functions at:
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Answer:
<h2> y = 5.6</h2>Step-by-step explanation:
From Thales' theorem: