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2 years ago

7

A cylinder, cone, and sphere are shown below. The three figures have the same radius. The cylinder and cone have the same height

with h = r.

1 answer:

Reil [10]2 years ago

6 0

Answer:

46 h

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=Simplify%3A%20%5Cfrac%7B%205%C3%97%2825%29%5E%7Bn%2B1%7D%20-%2025%20%C3%97%20%285%29%5E%7B2n%7

Katen [24]

$\green{\large\underline{\sf{Solution-}}}$

<u>Given expression is </u>

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

<u>Hence, </u>

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

2 years ago

Can someone pls answer this

SVEN [57.7K]

Answer:

1/6

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%2C25%7D.1%2C46-2%2C25.0%2C02%5C%5C" id="TexFormula1" title="\sqrt{2,25}.1,46-2,25.

Zina [86]

Answer:

i dont understand what your asking

Step-by-step explanation:

4 0

2 years ago

What is 2648 to two significant figures?

user100 [1]

Answer: 2600

Step-by-step explanation:

We want two digits that are not 0. These are the significant figures.

= 2600

7 0

2 years ago

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Plsssssssssss helppppppp

Radda [10]

Answer:

C. theres a 50% chance

Step-by-step explanation:

Bb, Bb, bb & bb

hope this helps <3

3 0

2 years ago

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