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Lapatulllka [165]
3 years ago
9

Okay... so like here's the thing... I compleatly forgot how to do this and I don't know why... (probably because I'm stupid...)

and the notes I took make no sense... all I know is what ever my teacher did, it was something a bit more complecated... I think, sorry for being ( enter choice of word. e.x. Stupid, dumb, ect.)
Question: √144 how do I rewrite the radical while extracting all the perfect sqares.
Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

Step-by-step explanation:

The number itself is a perfect square, so it's going to be hard to do.  What I'm trying to say is that there won't be anything left over underneath the square root sign.

Perfect squares.

144: 4 * 36

√144 = √(4 * 36)

√144 - √4*√36

√144 = 2 * 6 = 12.

In my opinion, the better way to do it is to factor the number down to it's primes. This works much better with larger numbers.

Suppose you want √480

480: 2 * 240

480: 2 * 2 * 120

480: 2 * 2 * 2 * 60

480: 2 * 2 * 2 * 2 * 30

480: 2 * 2 * 2 * 2 * 2 * 15

480: 2 * 2 * 2 * 2 * 2 * 3 * 5

How do you know when to quit? There are 2 rules.

  • Keep dividing by a prime until it gives you a decimal remainder.
  • Keep dividing by the next prime until you have nothing but primes.

So now we have

√480 = √(2 * 2 * 2 * 2 * 2 * 3 * 5)

Here's your last rule: for every pair of like factors you take out one from underneath the root and throw the other one away.

√480 = 2 * 2√ 2 * 3 * 5

√480 = 4√30

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A modified roulette wheel has 32 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 30​, respectively.
RUDIKE [14]

Answer:

(a)\dfrac{15}{32}

(b) 17:15

Step-by-step explanation:

(a)

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Since you are placing a bet that the outcome is an odd number.

P(\text{Winning})=\dfrac{\text{Number of Odd Numbers}}{\text{Total Number of Slots}} \\=\dfrac{15}{32}

(b) The actual odds against​ winning

\text{Actual Odds against Winning})=\dfrac{32-15}{15}\\=\dfrac{17}{15}

Therefore, the actual odds against​ winning are 17:15

5 0
3 years ago
There are 20 squares and 4 triangles. What is the simplest ratio of triangles to<br> squares?
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Answer:

1:5

Step-by-step explanation:

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5 0
2 years ago
Read each problem carefully and solve as required then answer the questions that follow
zepelin [54]

Answer:

Step-by-step explanation:

1) Number of children = c

Number of adults = a

Total ticket = 250

c + a = 250 -------------------(I)

Cost of 'c' children tickets = 200c

Cost of 'a' adult tickets =  450a

Total cost = 76000

200c + 450a = 76000  ------------------(II)

Multiply (I) by (-200) and then add

(I)*(-200)          -200c - 200a = -50000

(II)                    <u> 200c + 450a = 76000 </u>

<u> </u>                                    250a = 26000

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a = 104

Plug in a = 104 in equation (1)

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7 0
3 years ago
Find the prime factorization of 210.
Xelga [282]
5 x 2 x 7 x 3
Hope it helped! :)
8 0
3 years ago
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The internal height of a rectangular box is 10.5cm.The thickness of the bottom is 3/5cm and the thickness of the top is 1cm.What
omeli [17]

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The external height of the box is 12.1 cm.

<h3>What is Addition?</h3>

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.


Given that the internal height of a rectangular box is 10.5cm. The thickness of the bottom is 3/5cm and the thickness of the top is 1cm. Therefore, the external height of the rectangular box is,

Height of rectangular box

= Thickness of bottom + Internal height of the box + Thickness of the top

= 3/5 cm + 10.5 cm + 1 cm

= 0.6cm + 10.5cm + 1cm

= 12.1 cm

Hence, the external height of the box is 12.1 cm.

Learn more about Addition here:

brainly.com/question/14092461

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7 0
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