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3 years ago

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- x/3 greater than or equal to 5

1 answer:

saul85 [17]3 years ago

6 0

- x / 3 greater than or equal to 5
To represent this inequality what you must do first is to write the expression correctly.
Second, you must clear the value of x.
Third, be aware of the change of sign.
Finally find the solution
In this case the solution is:
(- inf, -15]
See attached image.

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<h2>Answer:</h2>

The radius of the cone is:

$r=\dfrac{2}{\sqrt{\pi}}$

<h2>Step-by-step explanation:</h2>

The total area of cone is given by:

$T.A.=\pi r(l+r)=\pi rl+\pi r^2=12---------(1)$

where r is the radius of the cone and l is the slant height of the cone.

and the lateral area of cone is given by:

$L.A.=\pi rl=8---------(2)$

Hence, from equation (1) and (2) we have:

$8+\pi r^2=12\\\\\\i.e.\\\\\\\pi r^2=4$

i.e.

$r^2=\dfrac{4}{\pi}$

i.e.

$r=\dfrac{2}{\sqrt{\pi}}$

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