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gtnhenbr [62]
3 years ago
6

What is the value of w? A. 7 B. 3.5 C. 7square root of three D. 14

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

<h3>D. 14.</h3>

\sf{\cos(30)  =  \frac{7 \sqrt{3} }{w} } \\  \sf{ \frac{ \sqrt{3} }{2}  =  \frac{7 \sqrt{3} }{w} } \\  \sf{w =  \frac{7 \sqrt{3} \times 2 }{ \sqrt{3} }  = 14}

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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
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<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

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Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

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The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

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