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andrezito [222]
3 years ago
13

An item is regularly priced at$75 . Chang bought it on sale for 15%off the regular price

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0
Answer:

$63.75

Step-By-Step:

Part = % • Whole
Part = 15% • 75
Part = 63.75

Final Equation:

63.75 = 15% • 75

( 15% off of $75 is $63.75 )
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Step-by-step explanation:

In the triangle:

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Now we know that:

\angle A+\angle B+\angle C=180^\circ$ (Sum of angles in a \triangle)\\63^\circ+47^\circ+\angle C=180^\circ\\\angle C=180^\circ-(63^\circ+47^\circ)\\\angle C=70^\circ

Using the Law of Sines

\dfrac{a}{\sin A} =\dfrac{c}{\sin C}\\\\\dfrac{a}{\sin 63^\circ} =\dfrac{7.75}{\sin 70^\circ} \\\\a=\dfrac{7.75}{\sin 70^\circ} \times \sin 63^\circ\\\\a=7.35$ inches (to the nearest hundredth of an inch)

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