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3 years ago

Solve the equation. 5/6 x-4 = -2

Mathematics

1 answer:

lora16 [44]3 years ago

7 0

Answer:

2 2/5

Step-by-step explanation:

5/6 x-4 = -2

Add 4 to each side

5/6 x-4+4 = -2+4

5/6 x = 2

Multiply by 6/5 to isolate x

6/5 *5/6 x = 6/5 *2

x = 12/5

Changing this from an improper fraction

5 goes into 12 2 times with 2 left over

x = 2 2/5

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Answer:

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Step-by-step explanation:

Given:

Volume of the cylinder is, $V=3165.12$ cm³

Height of the cylinder, $h= 7$ cm

Let the radius be $r$

Using the formula for volume of cylinder,

$V=\pi r^2h$

Plug in 3165.12 for $V$ , 7 for $h$ and solve for $r$ .

$3165.12=\pi r^2(7)\\3165.12=\frac{22}{7}\times 7\times r^2\\3165.12=22r^2\\r^2=\frac{3165.12}{22}\\r^2=143.869\\r=\sqrt{143.869}=11.99\approx=12\textrm{ cm}$

Therefore, the radius of the cylinder is nearly 12 cm.

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