Hey there! I'm happy to help!
We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.
2(3)+2(5)
6+10
16
How can we get this 16 to 64?
64/16=4
So, we need to multiply this length and width by four to get 64 as our perimeter!
3*4=12
5*4=20
We can plug this into our perimeter equation
2(12)+2(20)
24+40
64
Therefore, our length is 12 and our width is 20.
Have a wonderful day! :D
![sin2\alpha = \frac{260}{269}](https://tex.z-dn.net/?f=sin2%5Calpha%20%20%3D%20%5Cfrac%7B260%7D%7B269%7D)
<u>Step-by-step explanation:</u>
We have ,
,
We know that ![sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }](https://tex.z-dn.net/?f=sin%5Calpha%20%20%3D%20%5Cfrac%7BPerpendicular%7D%7BHypotenuse%7D%20%3D%20%5Cfrac%7BPerpendicular%7D%7B%5Csqrt%5B2%5D%7B%28Perpendicualr%29%5E%7B2%7D%20%2B%20%28Base%29%5E%7B2%7D%29%7D%20%7D)
Substituting values of P & B , ![sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }](https://tex.z-dn.net/?f=sin%5Calpha%20%20%3D%20%5Cfrac%7B10%7D%7B%5Csqrt%7B10%5E%7B2%7D%20%2B%2013%5E%7B2%7D%7D%20%7D%20%20%3D%20%5Cfrac%7B10%7D%7B%5Csqrt%7B269%7D%20%7D)
Now , ![sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }](https://tex.z-dn.net/?f=sin2%5Calpha%20%20%3D%202sin%5Calpha%20cos%5Calpha%20%20%3D%202sin%5Calpha%20%5Csqrt%7B1%20-%20%28sin%5Calpha%29%5E%7B2%7D%20%7D)
⇒
×
×2
⇒ ![sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} } )](https://tex.z-dn.net/?f=sin2%5Calpha%20%20%3D%20%5Cfrac%7B20%7D%7B%5Csqrt%7B269%7D%20%7D%28%20%5Csqrt%7B%5Cfrac%7B269%20-%20100%7D%7B269%7D%20%7D%20%20%29)
⇒![sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )](https://tex.z-dn.net/?f=sin2%5Calpha%20%20%3D%20%5Cfrac%7B20%7D%7B%5Csqrt%7B269%7D%20%7D%28%20%5Csqrt%7B%5Cfrac%7B169%20%7D%7B269%7D%20%7D%20%20%29)
⇒![sin2\alpha = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} } )](https://tex.z-dn.net/?f=sin2%5Calpha%20%20%3D%20%5Cfrac%7B260%7D%7B%5Csqrt%7B269%7D%20%7D%28%20%5Csqrt%7B%5Cfrac%7B1%7D%7B269%7D%20%7D%20%20%29)
⇒![sin2\alpha = \frac{260}{269}](https://tex.z-dn.net/?f=sin2%5Calpha%20%20%3D%20%5Cfrac%7B260%7D%7B269%7D)
Answer:
C.
Step-by-step explanation:
Reeeeeeeeeeeeeeeeeeee
Answer=72%
25-7=18purple clips
18 x
____=____
25 100
cross multiply
25x=1800
divide both sides by 25
x=72%