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Temka [501]
2 years ago
10

A) A cylindrical tank has a radius of 3 m and a height of 12 m.What is the volume of the tank?​

Mathematics
1 answer:
joja [24]2 years ago
6 0

Answer:

339.29 m³

Step-by-step explanation:

π · r² · h

π · 3² · 12

π · 9 · 12

π · 108

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Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t
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Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

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2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

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See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

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