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WITCHER [35]
4 years ago
5

Rationalize the denominator. write it in simplest terms    3------√12x

Mathematics
1 answer:
Softa [21]4 years ago
4 0
The idea being, you multiply top and bottom by a value that will raise the radicand in the denominator, to the same as the root, thus coming out of the root, so, let's do so

\bf \cfrac{3}{\sqrt{12x}}\cdot \cfrac{\sqrt{12x}}{\sqrt{12x}}\implies \cfrac{3\sqrt{12x}}{\sqrt{(12x)^2}}\implies \cfrac{3\sqrt{12x}}{12x}\implies \cfrac{\sqrt{12x}}{4x}
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A ladder reaches 2m up a wall. The foot of ladder is 0.4m from the wall. For safety reasons, the slope should be between 6.3 and
NeTakaya

Answer:

The slope of ladder is not within the safe range  .

Step-by-step explanation:

Given as :

The height of the ladder up a wall = h = 2 meters

The distance of base of ladder from the wall = x = 0.4 meters

The estimated safety range of slope of ladder is between 6.3 and 9.5

Let The slope of the ladder = x

<u>According to question</u>

slope of the ladder = \dfrac{\textrm height of ladder up wall}{\textrm distance of base of ladder from wall}

Or, x = \dfrac{2 meters}{0.4 meters}

Or, x = 5

So, The slope of the ladder = x = 5

Since The estimated range of slope between 6.3 and 9.5

And The calculate slope of ladder = 5

Hence, The slope of ladder is not within the safe range  . Answer

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4 years ago
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4 0
3 years ago
Prove algebraically that 0.5 recurring = 5/9
weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

5 0
3 years ago
Someone help please !
finlep [7]

Each line between 0 and 1 is 1/10 ( there are 10 lines)

First arrow is on the 3rd line so would be 3/10

The next arrow is 3 away from that so would be 3/10

The 3rd arrow is 2 away from the 2nd so would be 2/10

3/10 + 3/10 + 2/10 = 8/10

The answer is b

4 0
3 years ago
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