3 years ago

How to solve -6<-2x<14

1 answer:

algol133 years ago

4 0

Hey there! :)

-6 < -2x < 14

We're trying to solve for x. To solve for x, we must isolate x.

So, let's divide everything by -2!

-6 ÷ -2 < -2x ÷ -2 < 14 ÷ -2

**Remember : when dividing by a negative number, you MUST switch the sign! So, if the sign is ">" then we switch it to "<" and the other way around **

3 > x > -7

So, our answer is : → 3 > x > -7

~Hope I helped!~

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If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.

alukav5142 [94]

Answer: The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = $\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m$

As we know that surface area of a cone is given by

$S.A. = \pi r(l+r)$

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

$190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6$