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Svet_ta [14]
3 years ago
15

What is the value of x? A. 4 B. 4√3 C. 8 D. 8√3

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

B. 4√3

Step-by-step explanation:

\sin \: 60 \degree =  \frac{x}{8}  \\  \\  \therefore \:  \frac{ \sqrt{3} }{2}  = \frac{x}{8} \\  \\  \therefore \: x =  \frac{8 \times  \sqrt{3} }{2} \\  \\  \therefore \: x =  4 \times  \sqrt{3}\\  \\  \huge \purple{ \boxed{ \therefore \: x =  4 \sqrt{3} }}\\

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Step-by-step explanation:

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_____

<em>Alternate solution</em>

Draw a diagonal line between the lower right inside corner and the lower right outside corner. This divides the figure into two trapezoids.

The trapezoid at lower left has bases 7 and 4 cm, and height 6-4 = 2 cm. Its area is ...

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The trapezoid at upper right has bases 6 cm and 4 cm and height 3 cm. Its area is ...

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<em>Comment on other alternate solutions</em>

There are many other ways you can find the area of this figure. It can be divided into rectangles, triangles, or other figures of your choice. The appropriate area formulas should be used, and the resulting partial areas added or subtracted as required.

You can also let a geometry program find the area for you. (It is 26 cm².)

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