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Charra [1.4K]
3 years ago
8

Marisol is panting on a piece of canvas that has an area of 180 square inches the length of the painting is 1 and 1 fourth times

the width what are the dimensions of the painting?
Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer: Length = 15 inches

Width = 12 inches

Step-by-step explanation:

The painting is rectangular.

Let L represent the length of the painting.

Let W represent the width of the painting.

Area of a rectangle = LW

Marisol is panting on a piece of canvas that has an area of 180 square inches. It means that

LW = 180- - - - - - - - - - -1

The length of the painting is 1 and 1 fourth times the width. It means that

L = 1.25W

Substituting L = 1.25W into equation 1, it becomes

W(1.25W) = 180

1.25W² = 180

W² = 180/1.25

W² = 144

W = √144

W = 12 inches

L = 1.25W = 1.25 × 12

L = 15 inches

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Step-by-step explanation:

Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.  

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Read 2 more answers
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