3 years ago

The diagram shows a solid metal cuboid.

Mathematics

1 answer:

Elodia [21]3 years ago

3 0

Someone told me if I answer a question I can watch videos to unlock my answer sorry

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4 years ago

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3 years ago

Please Help! Will Mark Brainliest

Gennadij [26K]

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio on right triangle KJL

and the exact value sin30° = $\frac{1}{2}$

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{JL}{KL}$ = $\frac{JL}{8\sqrt{2} }$ = $\frac{1}{2}$ ( cross- multiply )

2JL = 8 $\sqrt{2}$ ( divide both sides by 2 )

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---------------------------------------------------------

Using the sine ratio in right triangle JLM

and the exact value sin45° = $\frac{1}{\sqrt{2} }$

sin45° = $\frac{opposite}{hypotenude}$ = $\frac{LM}{JL}$ = $\frac{x}{4\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x × $\sqrt{2}$ = 4 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$

x = 4

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3 years ago