Answer:
Therefore, the length of hypotenuse is: 13 units
Step-by-step explanation:
- As the given triangle is a right triangle.
- We can find the length of hypotenuse using the Pythagoras' Theorem
Let c be the length of hypotenuse
Using Pythagoras' Theorem for the given triangle
![5^2\:+\:12^2\:=\:c^2](https://tex.z-dn.net/?f=5%5E2%5C%3A%2B%5C%3A12%5E2%5C%3A%3D%5C%3Ac%5E2)
![\mathrm{Switch\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSwitch%5C%3Asides%7D)
![c^2=5^2+12^2](https://tex.z-dn.net/?f=c%5E2%3D5%5E2%2B12%5E2)
![c^2=25+144](https://tex.z-dn.net/?f=c%5E2%3D25%2B144)
![c^2=169](https://tex.z-dn.net/?f=c%5E2%3D169)
![\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%7Dx%5E2%3Df%5Cleft%28a%5Cright%29%5Cmathrm%7B%5C%3Athe%5C%3Asolutions%5C%3Aare%5C%3A%7Dx%3D%5Csqrt%7Bf%5Cleft%28a%5Cright%29%7D%2C%5C%3A%5C%3A-%5Csqrt%7Bf%5Cleft%28a%5Cright%29%7D)
![c=\sqrt{169},\:c=-\sqrt{169}](https://tex.z-dn.net/?f=c%3D%5Csqrt%7B169%7D%2C%5C%3Ac%3D-%5Csqrt%7B169%7D)
![c=13,\:c=-13](https://tex.z-dn.net/?f=c%3D13%2C%5C%3Ac%3D-13)
As the length of hypotenuse cannot be negative. Therefore, the length of hypotenuse is: 13 units
<span>x(x−3)=54
x^2 - 3x - 54 = 0
(x - 9)(x +6) = 0
x - 9 = 0 so x= 9
x + 6 = 0 so x = -6
</span><span>
x = 9 (length)
so width = x - 3 = 9 -3 = 6
</span>answer
<span>length = 9
double check
Area = LxW = 9x6 = 54
</span>
Answer:
72 trips
Step-by-step explanation:
<em>Hey there!</em>
Well to find the amount of trips the ferry will need to take we'll do,
2232 ÷ 31 = 72
72 trips
<em>Hope this helps :)</em>
Answer:
Hello!
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Your answer would be (C) 10x2 + 18x+ 30
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Hope this helped you!
P . S I would've put the explaintion but it's to long.