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Julli [10]
3 years ago
8

A rectangular certificate has a perimeter of 32 inches. Its area is 63 square inches. What are the dimensions of the certificate

?
Physics
1 answer:
irina1246 [14]3 years ago
3 0
Perimeter = 2 ( L + W )
32 = 2 ( L + W )
16 = L + W
L = 16 - W

Area = L W
63 = L W
63 = (16-W) W
63 = 16W - W²
-W² + 16 W - 63 = 0
By factorizing W = 9 or W = 7
So the dimensions are 7 and 9
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Answer:

The maximum height Tarzan and Jane can swing as a fraction of her initial heigh is ⅓h

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Let

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To calculate the maximum height Tarzan and Jane can swing, we make use of the potential energy at their initial and final position.

Reason being that;

At both the initial and final position, velocity is 0, so there's no kinetic energy.

And the potential energy remains the same (i.e constant) at any given point in the system.

Using P.E = mgh.

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At final position, PE2 = (m + M)gH.

Where h and H represent the initial and final heights.

m + M is the new weight after Jane and Tarzan swing

Equating PE1 to PE2

mgh = (m + M)gH

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mgh = (m + 2m)gH

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Make H the subject of the formula

H = mgh/3mg

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Hence, the maximum height Tarzan and Jane can swing as a fraction of her initial heigh is ⅓h

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The calculated height is smaller than what the cartoon is showing;

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<h2><u>Hello </u><u>There</u></h2>

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