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5 days ago

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Write an equation that expresses the following relationship. p varies directly with d and inversely with the square root of u In

your equation, use k as the constant of proportionality.

1 answer:

tester [3.9K]5 days ago

3 0

<span>The relationship where p varies directly with d and inversely with the square root of u can be expressed as:
</span>
p = k1d
with k1 being the proportionality constant.
and p = k2 $\frac{1}{ \sqrt{u} }$
where k2 serves as the proportionality constant.

By merging both equations, we find that p = C $\frac{d}{ \sqrt{u} }$
where K = K1*K2, with K being the proportionality constant.

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Answer:

The shaped region accounts for 7/18 of the area of ACIG.

Step-by-step explanation:

Refer to the attached diagram for further clarity on the problem.

Step 1

Determine the length of one side of square ABED.

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AB=BE=ED=AD

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Step 2

Calculate the area of ACIG.

The area of rectangle ACIG is determined by

$A=(AC)(AG)$

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Step 3

Determine the area of the shaded rectangle DEHG.

The area of rectangle DEHG is given by

$A=(DE)(DG)$

We find $DE=7\ units$

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Step 4

Calculate the area of shaded rectangle BCFE.

The area of rectangle BCFE equals

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We see that

$EF=AC-AB=10-7=3\ units$

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Step 5

Add the areas of the shaded regions together.

$14+21=35\ units^2$

Step 6

Divide the area of the shaded region by the area of ACIG.

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$\frac{7}{18}$

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