3 years ago

Sigma notation and the nth term

Mathematics

1 answer:

tiny-mole [99]3 years ago

4 0

Yes the correct answer is A

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The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.

zlopas [31]

Answer:

$x = 2.5$

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

2πr(h + r) = πr²h

2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

$2(x + 2.5) = 2.5*x$

$2x + 5 = 2.5x$

Subtract 2x from both sides

$2x + 5 - 2x = 2.5x - 2x$

$5 = 0.5x$

Divide both sides by 0.5

$\frac{5}{0.5} = \frac{0.5x}{0.5}$

$2.5 = x$

$x = 2.5$

8 0

3 years ago

Graph y=(x+2)^2-3 <br> Show Vertex

nikklg [1K]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
y=(x+2)^2-3\implies y=\stackrel{a}{1}[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-3}\quad 
\begin{cases}
h=-2\\
k=-3
\end{cases}$