Answer:
The Correct option is C ) 25
Therefore the value of x is 25 when y =40.
Step-by-step explanation:
Given:
Variable 'y' is directly proportional to the variable 'x'.
......Direct Variation
Where,
k = Constant of proportionality
To Find:
value of x = ? when y = 40
Solution:
First we need to find Constant of proportionality
When x = 20 and y = 32
Substituting the values we get
![32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6](https://tex.z-dn.net/?f=32%3Dk%5Ctimes%2020%5C%5Ck%3D%5Cdfrac%7B32%7D%7B20%7D%3D1.6%5C%5C%5C%5Ck%3D1.6)
Now when k =1.6 , y = 40 then x will be
![40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25](https://tex.z-dn.net/?f=40%3D1.6%5Ctimes%20x%5C%5C%5C%5Cx%3D%5Cdfrac%7B40%7D%7B1.6%7D%3D25%5C%5C%5C%5Cx%3D25)
Therefore the value of x is 25 when y =40.
Answer:
10.5 in
Step-by-step explanation:
Given
![tan(55) = \frac{15}{b}](https://tex.z-dn.net/?f=tan%2855%29%20%3D%20%5Cfrac%7B15%7D%7Bb%7D)
Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b
![tan(55) = \frac{15}{b}](https://tex.z-dn.net/?f=tan%2855%29%20%3D%20%5Cfrac%7B15%7D%7Bb%7D)
![b * tan(55) = \frac{15}{b} * b](https://tex.z-dn.net/?f=b%20%2A%20tan%2855%29%20%3D%20%5Cfrac%7B15%7D%7Bb%7D%20%2A%20b)
![b * tan(55) =15](https://tex.z-dn.net/?f=b%20%2A%20tan%2855%29%20%3D15)
Divide both sides by tan(55)
![\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%20%2A%20tan%2855%29%7D%7Btan%2855%29%7D%20%3D%20%5Cfrac%7B15%7D%7Btan%2855%29%7D)
![b = \frac{15}{tan(55)}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B15%7D%7Btan%2855%29%7D)
Find tan(55)
![b = \frac{15}{1.42814800674}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B15%7D%7B1.42814800674%7D)
![b = 10.5031130731](https://tex.z-dn.net/?f=b%20%3D%2010.5031130731)
<em>(Approximated)</em>
<em />
Length AC is 10.5
Winning%=100[wins/(total games)]
w%=100(A-B)/A
So the way that your choice expressed that is:
(A-B)/A x 100
Then a is Half of 45 wich is 22.5 I believe.
Definition of quadratic a formula
= a formula that gives the solutions of the general quadratic equation ax2 + bx + c = 0 and that is usually written in the form x = (-b ± √(b2 − 4ac))/(2a)