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trapecia [35]
3 years ago
6

What is the square root of 144?

Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0

Answer:

12

Step-by-step explanation:

This is true because 12x12 is 144, or 12 squared is 144.

choli [55]3 years ago
6 0

Answer:

12

Step-by-step explanation:

\sqrt{144 }  =  \sqrt{12 \times 12}  = 12

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What is the value of the 2 in 3.25?
gizmo_the_mogwai [7]
20  because when you do it that way when it is behind the decimal the numbers are always the opposite thousand hundred tens ones . tens hundreds thousands
3 0
3 years ago
A father is 32 years older than his son. In four years,
sergiy2304 [10]

Answer:

  • father: 36
  • son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

  5(s+4) = (s+32)+4

  5s +20 = s +36 . . . . . eliminate parentheses

  4s = 16 . . . . . . . . . . . . subtract s+20

  s = 4

The son is now 4 years old; the father, 36.

_____

<em>Alternate solution</em>

In 4 years, the ratio of ages is ...

  father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

  father : son = 40 : 8

So, now (4 years earlier), the ages must be ...

  father: 36; son: 4.

5 0
3 years ago
13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
Vlad [161]

Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

As n is a multiple of a and b, there exists s and t integers such that:

sa=n and tb=n

Same thing happens to m as it is the least common multiple, there exists u and v such that:

ua=m and vb=m

So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

4 0
3 years ago
Which number is greatest? 2.89 times 10 Superscript negative 8 1.997 times 10 Superscript 2 8.9 times 10 Superscript negative 6
love history [14]
<h3> The greatest number is 1.997 \times 10^2</h3>

<em><u>Solution:</u></em>

<em><u>Given that the numbers are:</u></em>

2.89 \times 10^{-8}\\\\1.997 \times 10^2\\\\8.9 \times 10^{-6}\\\\5 \times 10^{-6}

We have to find the number that is greatest

Convert the numbers to decimal

2.89 \times 10^{-8} = 2.89 \times \frac{1}{10^8} =0.0000000289

1.997 \times 10^2 = 199.7

8.9\times 10^{-6}=8.9\times \frac{1}{10^6}=0.0000089

5\times 10^{-6}=5\times \frac{1}{10^6}=0.000005

We can clearly see that, 199.7 is greatest number

Thus the greatest number is 1.997 \times 10^2

3 0
3 years ago
Read 2 more answers
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should
ANTONII [103]

Answer:

l''kkk 1/2 cups

Step-by-step explanation:

8 0
2 years ago
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