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Vera_Pavlovna [14]
3 years ago
10

13" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Assignment: \bold{Solve \ Equation: \ -2x+5

<><><><><><><>

Answer: \boxed{\bold{x>-4}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Subtract 5 From Both Sides

\bold{-2x+5-5

[ Step Two ] Simplify

\bold{-2x

[ Step Three ] Multiply Both Sides By -1 (Reverse Inequality)

\bold{\left(-2x\right)\left(-1\right)>8\left(-1\right)}

[ Step Four ] Simplify

\bold{2x>-8}

[ Step Five ] Divide Both Sides By 2

\bold{\frac{2x}{2}>\frac{-8}{2}}

[ Step Six ] Simplify

\bold{x>-4}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area
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Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

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Lets find original surface are:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi

Original SA is 44\pi,

Halving diameter makes it 20\pi

Halving height makes it 26\pi

So, halving diameter does not have same effect as halving height.

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