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ioda
3 years ago
11

Mary has made is going to make muffins. She needs 36 ounces. She has 16 ounces. How many more cups does she need?

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
36 ounces - 16 ounces = 20 ounces so that should add up to about 2.5cups 
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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
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Answer:

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Step-by-step explanation:

For maximum,  we use the whole length

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supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = \frac{x^{2} }{16}

For the equilateral triangle, the length of the side =  \frac{23 - x}{3}

Area = \frac{\sqrt{3} }{4}  a^{2}  = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}

Total Area = \frac{x^{2} }{16}  + \frac{\sqrt{3} }{36} (23-x)^{2}

\frac{dA}{dx}  = \frac{x}{8}  -  \frac{\sqrt{3} }{18} (23 - x)\\

\frac{d^{2}A }{dx^{2} }  = \frac{1}{8}  + \frac{\sqrt{3} }{18}  > 0, therefore it is minimum

\frac{dA}{dx}  = 0 \\\\

\frac{x}{8}  -  \frac{\sqrt{3} }{18} (23 - x) = 0\\

x = 10.00m

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