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3 years ago

Y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.

Mathematics

2 answers:

vazorg [7]3 years ago

8 0

Answer:

Step-by-step explanation:

formula for inverse proportion is y = $\frac{k}{x}$

k is the constant of probability

to find k,

y is 12, x is 6

12 = $\frac{k}{6}$

so x = 12 × 6

∴ k is 72

so y = $\frac{72}{8}$

∴ y is 9

KIM [24]3 years ago

7 0

Y = 16____________gg

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3 years ago

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3 years ago

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EleoNora [17]

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Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

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Side $b = ?$

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We can use cosine formula here to find the value of the unknown side.

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

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$cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd$

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3 years ago