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3 years ago

5

The height, h, of a cylinder is 5 units less than 3 times its radius, r. which expressions represents the height of the cylinder

in terms of its radius?

1 answer:

Helga [31]3 years ago

4 0

Answer:

Step-by-step explanation:

r6tygtf77777777777777777777777777777777777777777777777777777777777777777

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Helppppppp! 15 points!

Vika [28.1K]

${\boxed{\mathcal{\purple{D.\:81}}}}$ ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81$

<u>Note</u>:-

${a}^{m} \div {a}^{n} = {a}^{m - n}$

$\sf\red{(-)\:x\:(-)\:=\:+}$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$

4 0

2 years ago

A game box for video games is shaped like a rectangular prism.what is the surface area of the game box?

Readme [11.4K]

So what you'll do is multiply the length times the width and add the height to get your answer.
If you don't understand plz message me
If you do understand plz brainlest me
Thank you!

3 0

3 years ago

Partial fraction decomposition<br> 20x+9/25x^2+20x+4

ozzi

Step-by-step explanation:

We have

$\frac{20x + 9}{25 {x}^{2} + 20x + 4 }$

Let's factor the denomiator first,

the denomaitor is a perfect square so we get

$\frac{20x + 9}{(5x + 2) {}^{2} }$

Now, we must think of two fractions that

$\frac{a}{(5x + 2) {}^{2} } + \frac{b}{5x + 2}$

We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.

So right now, we have

$\frac{a}{(5x + 2) { }^{2} } + \frac{b}{5x + 2} = \frac{20x +9 }{25 {x}^{2} + 20x + 4 }$

$a + (5x + 2)b = 20x + 9$

$5b (x)= 20$

$a + 2b = 9$

$b = 4$

so that means that a is

$a + (2)(4) = 9$

$a + 8 = 9$

$a = 1$

So our equation is

$\frac{1}{(5x + 2) {}^{2} } + \frac{4}{5x + 2}$

6 0

2 years ago

Rewrite the equation by completing the square.<br> x^2 + 2x – 48 = 0

slamgirl [31]

Answer:

(x+1)^2 = 49

x = 6 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

2

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1 ±7

x = -1+7 x = -1 -7

x = 6 x = -8

3 0

3 years ago

I need help with b and c

mr_godi [17]

B. Just find the percentage to see if it is correct
$\frac{24.5}{73}$
It equals about .3356, but multiply it by 100 to get its percentage which is about 34%. So yes it is correct.

C.
$\frac{reading}{watching \: tv} \frac{3}{12}$
Simplified would be a ratio of
$\frac{1}{4}$
So they would be incorrect

Tell me if it helps by thanking it!!

7 0

3 years ago