3 years ago

The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?

1 answer:

8 0

Y=(kx)/z

15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k

y=(6x)/z

x=20
z=6
y=(6*20)/6
y=20

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Find tan(450-a), If <br><img src="https://tex.z-dn.net/?f=%20%5Ctan%28a%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"

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Step-by-step explanation:

We know that:

$tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

$tan(450-a)=\frac{tan(450)-tan(a)}{1+tan(450)tan(a)}$

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