The equation which can be used to find the length of EF is option A which is EF=
.
Given the length of base of right angled triangle is 12 and the hypotenuse be 24.
We are to find the length of EF and tell which equation can be used to find the length of EF.
We know that pythagoras theorem applies in a right angled triangle.
Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.
![H^{2} =B^{2} +P^{2}](https://tex.z-dn.net/?f=H%5E%7B2%7D%20%3DB%5E%7B2%7D%20%2BP%5E%7B2%7D)
In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.
![(DE)^{2} =(EF)^{2} +(DF)^{2}](https://tex.z-dn.net/?f=%28DE%29%5E%7B2%7D%20%3D%28EF%29%5E%7B2%7D%20%2B%28DF%29%5E%7B2%7D)
EF=![\sqrt{DE^{2}-DF^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7BDE%5E%7B2%7D-DF%5E%7B2%7D%20%20%7D)
=
--1
=![\sqrt{576-144}](https://tex.z-dn.net/?f=%5Csqrt%7B576-144%7D)
=![\sqrt{432}](https://tex.z-dn.net/?f=%5Csqrt%7B432%7D)
Hence the equation which can be used to find the length of Ef is option A which is EF=
.
Question is incomplete as it should include the figure also.
Learn more about pythagoras theorem at brainly.com/question/343682
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Answer:
C
Step-by-step explanation:
The perimeter would be 2*(4(2x+1) + 3(x+4)) because the right side length and the top side length are known. The left side length must equal the right side length and the bottom side length must equal the top side length. So the answer must be:
2*(4(2x+1) + 3(x+4)) = 2*(8x+4+3x+12) = 2*(11x+16) = 22x+32
C. 22x+32
Using mixture formula:
Let volume be v, % be p
1 should be the first mixture, 2 should be the second mixture, 3 should be the final mixture.
p₁v₁ + p₂v₂ = p₃v₃
p₁ = 25%, v₁ = 40 p₂ = 60%, v₂ = ? p₃ = 30%, v₃ =?
Let v₂ = x, v₃ = total volumes = v₁ + v₂ = (40 + x)
Using:
p₁v₁ + p₂v₂ = p₃v₃
25*40 + 60*x = 30*(40 + x)
1000 + 60x = 1200 + 30x
60x - 30x = 1200 - 1000
30x = 200
x = 200/30
x = 20/3
Recall x = v₂, so she has to add 20/3 milliters of the 60% solution in order to obtain 30% solution.
I hope this explains it.
You can try by plugging each ordered pair and seeing if the equation comes out true.
(5, 1)
2 * 5 - 1 = 9
That's correct so C is the correct answer.