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daser333 [38]
1 year ago
9

Please select either A, B, C, or D when finished awnsering the question.(Info in picture)

Mathematics
1 answer:
scoray [572]1 year ago
7 0

The section that will rotate is a triangle with base b = 5 and height h = 3.

The base is perpendicular to the axis of rotation, while the height is parallel.

Also, the side represented by the height is at a distance of 4 units from the axis of rotation.

We can see that the only graph where the triangle is at a distance of 4 units is Option D. All the others are too close the axis.

Answer: Option D

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sin \theta = \frac{\sqrt {19}}{10}

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( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\  \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10}

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