Answer:
StartFraction 1.55 over 1 EndFraction = StartFraction 3.5 over x EndFraction
Step-by-step explanation:
1 = 1.55
x = 3.5
1.55/1 =3.5/x
1.55/1 = 3.5/x correctly shows the equivalent ratios
Answer:
~183.78
Step-by-step explanation:
A = pi 9² ≈254.47
260/360=13/18
254.47/18×13≈183.78
From the information obtained from the question, two equations can be created:
Let x and z be the two numbers (parts)
![\frac{1}{z} + \frac{1}{x} = \frac{3}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bz%7D%20%20%20%2B%20%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20%3D%20%20%20%5Cfrac%7B3%7D%7B10%7D%20%20)
. . . . (1)
![z + x = 15](https://tex.z-dn.net/?f=z%20%20%2B%20%20%20x%20%20%3D%20%2015)
. . . . (2)
By transposing (2), make 'z' the subject of the equation
![z = 15 - x](https://tex.z-dn.net/?f=z%20%3D%2015%20-%20x)
. . . . (3)
By substituting (3) into equation (1) to find a value for x
![\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%2815%20-%20x%29%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
![\frac{15}{( 15 - x ) ( x )} = \frac{3}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B%28%2015%20-%20x%20%29%20%28%20x%20%29%7D%20%20%3D%20%20%20%5Cfrac%7B3%7D%7B10%7D%20)
![3 ( - x^{2} + 15 x ) = 150](https://tex.z-dn.net/?f=3%20%28%20-%20x%5E%7B2%7D%20%20%2B%2015%20x%20%29%20%20%3D%20%20150)
![3 x^{2} - 45x + 150 = 0](https://tex.z-dn.net/?f=3%20x%5E%7B2%7D%20%20-%2045x%20%2B%20150%20%3D%200)
⇒
![( x - 5 ) ( x - 10 ) = 0](https://tex.z-dn.net/?f=%28%20x%20-%205%20%29%20%20%28%20x%20-%2010%20%29%20%20%3D%200)
∴ either
![( x - 5) = 0](https://tex.z-dn.net/?f=%28%20x%20-%205%29%20%3D%200)
OR
![( x - 10 ) = 0](https://tex.z-dn.net/?f=%28%20x%20-%2010%20%29%20%3D%200)
Thus x = 5 or x = 10
By substituting the values of x into (2) to find z
z + (5) = 15 OR z + (10) = 15
⇒ z = 10 OR z = 5
So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.
Answer:
a
Step-by-step explanation:
This intersection means that u have to find the same number in both sets
the answer is 3 , 7 , 13
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