Answer:
![CD=(3-\sqrt{3})\ cm](https://tex.z-dn.net/?f=CD%3D%283-%5Csqrt%7B3%7D%29%5C%20cm)
Step-by-step explanation:
step 1
Find the length side AB
In the right triangle ABD
![sin(30\°)=\frac{AB}{AD}](https://tex.z-dn.net/?f=sin%2830%5C%C2%B0%29%3D%5Cfrac%7BAB%7D%7BAD%7D)
![AB=sin(30\°)(AD)](https://tex.z-dn.net/?f=AB%3Dsin%2830%5C%C2%B0%29%28AD%29)
we have
![AD=2\sqrt{3}\ cm](https://tex.z-dn.net/?f=AD%3D2%5Csqrt%7B3%7D%5C%20cm)
![sin(30\°)=\frac{1}{2}](https://tex.z-dn.net/?f=sin%2830%5C%C2%B0%29%3D%5Cfrac%7B1%7D%7B2%7D)
substitute
![AB=\frac{1}{2}(2\sqrt{3})](https://tex.z-dn.net/?f=AB%3D%5Cfrac%7B1%7D%7B2%7D%282%5Csqrt%7B3%7D%29)
![AB=\sqrt{3}\ cm](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B3%7D%5C%20cm)
step 2
Find the length side BD
In the right triangle ABD
![cos(30\°)=\frac{BD}{AD}](https://tex.z-dn.net/?f=cos%2830%5C%C2%B0%29%3D%5Cfrac%7BBD%7D%7BAD%7D)
![BD=cos(30\°)(AD)](https://tex.z-dn.net/?f=BD%3Dcos%2830%5C%C2%B0%29%28AD%29)
we have
![AD=2\sqrt{3}\ cm](https://tex.z-dn.net/?f=AD%3D2%5Csqrt%7B3%7D%5C%20cm)
![cos(30\°)=\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=cos%2830%5C%C2%B0%29%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
substitute
![BD=\frac{\sqrt{3}}{2}(2\sqrt{3})](https://tex.z-dn.net/?f=BD%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%282%5Csqrt%7B3%7D%29)
![BD=3\ cm](https://tex.z-dn.net/?f=BD%3D3%5C%20cm)
step 3
Find the length side BC
In the right triangle ABC
we know that
BC=AB -----> is an 45°-90°-45° triangle
therefore
![BC=\sqrt{3}\ cm](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B3%7D%5C%20cm)
step 4
Find the length side CD
we know that
![BD=BC+CD\\CD=BD-BC](https://tex.z-dn.net/?f=BD%3DBC%2BCD%5C%5CCD%3DBD-BC)
substitute the values
![CD=(3-\sqrt{3})\ cm](https://tex.z-dn.net/?f=CD%3D%283-%5Csqrt%7B3%7D%29%5C%20cm)
Answer:
8.529325
Step-by-step explanation:
Answer:
5:05
6
10
Step-by-step explanation:
3:30 + 1 hour = 4:30
4:30 + 35 mins = 5:05 pm
5 days per 1 gallon, 30 days for :
30/5 = 6
500/50 = 10
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Step-by-step explanation:
The inequality is given as;
-3x-7<20 which can be solved as
-3x < 20+7 -----collecting like terms
-3x < 27 -------divide both sides by -3
x > -9 -----change the sign direction because you divided by
plotting the solution x > -9 on a graph tool gives
Learn More
solving inequalities by graph :brainly.com/question/11688212
Keywords : number line, open circle, solution, graph, inequality
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