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Step2247 [10]
3 years ago
13

ing%20%5C%3A%20e.d.l%20%5C%3A%20%5C%5C%20%28%20%5C%3A%20Euclid%27s%20%5C%3A%20division%20%5C%3A%20lemma%20%5C%3A%20%29" id="TexFormula1" title="Find \: H.C.F \: of \: \\ 900 \: , 270 \\ using \: e.d.l \: \\ ( \: Euclid's \: division \: lemma \: )" alt="Find \: H.C.F \: of \: \\ 900 \: , 270 \\ using \: e.d.l \: \\ ( \: Euclid's \: division \: lemma \: )" align="absmiddle" class="latex-formula">
H.C.F of 900 & 270 ​
Mathematics
2 answers:
wlad13 [49]3 years ago
6 0
<h2>See Above Attachment ⇡</h2>

\Large  \red \mid \: \underline {\rm {{{\color{blue}{Explanation...}}}}}  \: \red \mid

<h3>We know that , </h3>

As per Euclid Division Algorithm.

\longrightarrow \: \Large\underbrace {\rm {{{\color{red}{ \: a \:  =  \: bq \:  +  \:  r \: }}}}}

  • a denotes dividend

  • b denotes divisor

  • q denotes quotient

  • r denotes remainder

<h2>◆━━━━━▣✦▣━━━━━◆</h2>

<h3>Using Euclid Division Algorithm</h3>

\large\bf{\purple{ \hookrightarrow \: }} \tt \: \: 900 \:  =  \: 270 \:  \times  \: 3 \:  +  \: 90

<h3>Here ,</h3>

\large\bf{\orange{ \implies \: }} \: \:r  \:  \neq \: 0

Again Applying Euclid Division Algorithm

\large\bf{\purple{ \hookrightarrow \: }} \tt \:  270 \:  =  \: 90 \:  \times  \: 3 \:  +  \: 0

<h3>Here ,</h3>

\large\bf{\orange{ \implies \: }} \: \:r  \:   =   \: 0

As the reminder is 0 , 90 will be the greatest common divisor for the two given numbers.

<h2>So,</h2>

{\boxed{ \Large{ \blue{ \bf{ \underline{ HCF \:  =  \: 90}}}}}}

<h2>◆━━━━━▣✦▣━━━━━◆</h2>

brilliants [131]3 years ago
5 0

Answer:

  • 90

Step-by-step explanation:

<u>Factorize both numbers:</u>

  • 900 = 2*2*3*3*5*5
  • 270 = 2*3*3*3*5

<u>Common factors are:</u>

  • 2*3*3*5

<u>So HCF is:</u>

  • HCF(900, 270) = 2*3*3*5 = 90
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nasty-shy [4]

Answer:

26

Step-by-step explanation:

a triangle is 180 degrees add 120 + 34 to get 154

180 -154 = 26

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2 years ago
A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.
Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

PE=mgh

where

mg=30 N is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

KE+E_t = \frac{1}{2}mv^2 + E_t

where:

m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg is the mass

v = 13 m/s is the final speed of the stone

E_t is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

E_t=W=Fh

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

mgh=\frac{1}{2}mv^2+Fh

And solving for F, we find the average force of air friction:

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3 years ago
One number is 3 less than 5 times another number. The sum of the numbers is 27. What are the two numbers? Enter your answers in
kaheart [24]

x ,y are the numbers

x = 5y-3

x+y = 27

substitute first equation into the second

(5y-3) +y =27

combine like terms

6y-3=27

add 3 to each side

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divide by 6

y=5

x = 5y-3

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3 years ago
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mestny [16]

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Step-by-step explanation:

we already know 8+19=27, if 4 quarters equals a dollar then you use 4 quarters each to create 2 dollars.

then, use 10 dimes to create another dollar summing it up to $3. now all we have to do is make 90 cents, and we've already used 18 coins.

if we used another 9 dimes, that would equal 90 cents.

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Firdavs [7]

Answer:

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