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amm1812
3 years ago
7

The diameter of a small gear is 16 cm. This is a 2.5 cm more than 1/4 of the diameter of a large gear. What is the diameter of t

he large gear? Round to the nearest cm.
Mathematics
2 answers:
eimsori [14]3 years ago
6 0
The large gear has a diameter of 54 CM.
frutty [35]3 years ago
4 0
The diameter of the large gear is 54 CM
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Can someone please help with this math question:)
Bingel [31]

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

The rationalisation factor for \frac{1}{ a -  \sqrt{b}  } is a + \sqrt{b}

So, let us apply it here.

\frac{1}{5 -  \sqrt{2} }

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

=  \frac{1}{5 -  \sqrt{2} }  \times  \frac{5 +  \sqrt{2} }{5 +  \sqrt{2} }  \\  =  \frac{5 +  \sqrt{2} }{(5 -  \sqrt{2})(5 +  \sqrt{2} ) }  \\  =  \frac{5 +  \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2}   }  \\  =  \frac{5 +  \sqrt{2} }{25 -  2}  \\  =  \frac{5 +  \sqrt{2} }{23}

<u>Answer:</u>

<u>\frac{5 +  \sqrt{2} }{23}</u>

Hope you could understand.

If you have any query, feel free to ask.

5 0
2 years ago
Read 2 more answers
|3x-7|-7=x solve the equation for all values of x
romanna [79]

The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

<h3>What are the solutions to the given equation?</h3>

Given the equation in question;

|3x-7| - 7 = x

First, add 7 to both sides.

|3x-7| - 7 + 7 = x + 7

|3x-7|  = x + 7

Next, remove the absolute value term, this creates a ± on the right side of the question.

|3x-7|  = x + 7

3x-7  = ±( x + 7 )

The complete solution is the result of both the negative and positive portions of the solution.

For the first solution, use the positive of ±.

3x-7  = ( x + 7 )

3x - 7  =  x + 7  

3x - x = 7 + 7

2x = 14

x - 14/2

x = 7

For the second solution, use the negative of ±.

3x-7  = -( x + 7 )

3x-7  = -x - 7

3x + x = -7 + 7

4x = 0

x = 0/4

x = 0

Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

Learn to solve more equation involving absolute value term here: brainly.com/question/28635030

#SPJ1

4 0
1 year ago
Why is a cube root of a negative always negative?
ololo11 [35]
Because if you multiply a negative by a negative, it is positive, right? So, in this instance it is cubed, which means that the number is multiplied by itself 3 times, so the positive is multiplied by the negative, which makes it negative
5 0
3 years ago
I suck at math
solniwko [45]
Area of rectangle = length*breadth
                             = 30*22
                            =660 yards2
hence answer is D.
hope this helps! :)
6 0
3 years ago
What is the limiting sum of the following geometric series?<br> 2000 - 1200 + 720 - 432 ...
irina1246 [14]

Answer:

your answer is 1088

Step-by-step explanation:

hope it helps

7 0
3 years ago
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