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MAVERICK [17]
3 years ago
14

A piece of art is in the shape of an equilateral triangle with sides of 7 inches each. Find the area of the piece of art to the

nearest tenth. Explain how you know.
Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer:

21.2 in²

Step-by-step explanation:

The area of an equilateral triangle is given as :

Area, A = √3/4 * a²

Where, a = side length of the equilateral triangle

a = 7 inches ; Recall that all sides of an equilateral triangle are the same.

Put a = 7 in the equation :

A = √3/4 * a²

A = √3/4 * 7²

A = 0.4330127 * 49

A = 21.217 in²

Area, A = 21.2 in²

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2x+3y=60 solve for x...

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p=xy^3, using x from above:

p=y^3(60-3y)/2

p=(60y^3-3y^4)/2

dp/dy=(180y^2-12y^3)/2

dp/dy=90y^2-6y^2

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(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
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