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Greeley [361]
3 years ago
13

Find the smallest square number that is divisible by each of the numbers 8, 9 and 10

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

Step-by-step explanation:

Find Least common  denominator of 8, 9 & 10

8 = 2 * 2 * 2

9 = 3* 3

10 = 5*2

LCM = 2*2*2*3*3*5 = 8 * 9 * 5 = 360

To make 360 a perfect square,multiply by 10

360*10 = 3600 is a perfect square

vekshin13 years ago
7 0

Answer:

Step-by-step explanation:

Find the LCM of 8,9 and 10.

Prime Factorization to find LCM,

8 = 2 × 2 × 2

9 = 3 × 3

10 = 2 × 5

LCM ( 8 , 9 , 10 ) = 2 × 2 × 2 × 3 × 3 × 5 =360

But 360 is not square

Now we make the pairs complete by multiplying same numbers in prime factorization of LCM.

We need one 2 and one 5 to complete the pair.

We get, Least Square number = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600

Hope this helps

good Luck

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<span>divide both numbers by 5</span>
7 0
3 years ago
Maths<br>-|-30-(10-20)|-|5-(10-15)|=?<br>If someone helped me , I would be grateful​
defon

Answer:

-30

Step-by-step explanation:

-|-30-(10-20)|-|5-(10-15)|=-|-30-(-10)|-|5-(-5)|

=-|-30+10|-|5+5|

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4 0
3 years ago
Which equation is y = â€""6x2 3x 2 rewritten in vertex form?.
Ber [7]

The vertex form needed is :

-6(x-0.25)^2 +2.375

Given the equation:

-6x^2 + 3x + 2\\

The vertex form of f(x) = ax^2 + b(x) + c is given by:

f(x) = a(x-h)^2 + k

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\

This is the resultant vertex form.

Thus the vertex form needed is :

-6(x-0.25)^2 +2.375

Learn more here:

brainly.com/question/15165354

6 0
2 years ago
Jenny is picking up carrots at a farm. Jenny put each carrots in 4 boxes. Jenny figures out that there are 20 carrots in each bo
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Answer:

85

Step-by-step explanation:

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5 0
3 years ago
A rug is 4 m wide. How much is this in centimeters?
Crank
It's very simple
1m=100cm
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6 0
3 years ago
Read 2 more answers
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