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adelina 88 [10]
2 years ago
14

What is the image of the point (2, 1) after reflection over the line x=-2

Mathematics
1 answer:
Eva8 [605]2 years ago
8 0
3 is the correct answer i think
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the total surface area of a solid cylinder is 21cm if the curved surface area of the solid cylinder is two - third of its total
arsen [322]

Answer:

The radius of cylinder is 1.05 cm and

The height of cylinder is 2.11 cm

Step-by-step explanation:

Given as :

The total surface area of cylinder = 21 cm

The curved surface area of cylinder = \frac{2}{3} of the total surface area

I.e The curved surface area of cylinder = \frac{2}{3} × 21 = 14 cm

∵ The total surface area of cylinder = 2 \pi r h + 2 \pi r²

Where r is the radius and h is the height of cylinder

Or, 2 \pi r h + 2 \pi r² = 21 cm

Or,  (2\times \Pi \times r\times h) + (2\times \Pi\times r^{2} ) = 21 cm   ....a

Again ∵ The curved surface area of cylinder = 2 \pi r h

Where r is the radius and h is the height of cylinder

Or, 2 \pi r h = 14 cm    . ...b

so . put the value of a into b

I.e 14 cm + (2\times \Pi\times r^{2} ) = 21 cm  

Or,  (2\times \Pi\times r^{2} ) = 21 cm - 14 cm

Or, (2\times \Pi\times r^{2} ) = 7

so , r² = \frac{7}{2\pi }

∴    r² =  \frac{49}{44}

I.e  r = \sqrt{\frac{49}{44} }

So, radius = \frac{7}{\sqrt{44} }  cm

or,   r = 1.05 cm

Put the value of r in eq b

2 \pi r h = 14 cm

Or,  2 \pi ×  \frac{7}{\sqrt{44} }  × h = 14 cm

So, h = \frac{\sqrt{44} }{\pi }

Or, h = 2.11 cm

Hence The radius of cylinder is 1.05 cm and The height of cylinder is 2.11 cm  Answer

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what is the answer to this question <br><br><br><br> 44/99 x 22/99
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<em>hope</em><em> </em><em>helps~</em>

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