Answer:
![x=20](https://tex.z-dn.net/?f=x%3D20)
![y=10\,\sqrt{3}](https://tex.z-dn.net/?f=y%3D10%5C%2C%5Csqrt%7B3%7D)
Step-by-step explanation:
In the triangle we have the following trigonometric equations:
![tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}](https://tex.z-dn.net/?f=tan%2860%5Eo%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%5C%5C%5Csqrt%7B3%7D%20%3D%5Cfrac%7By%7D%7B10%7D%20%5C%5Cy%3D10%5C%2C%5Csqrt%7B3%7D)
and also:
![cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20](https://tex.z-dn.net/?f=cos%2860%5Eo%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%5C%5C%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B10%7D%7Bx%7D%5C%5Cx%3D20)
Answer:Yes, he is answer is reasonable
Step-by-step explanation:
First, you plus 3 7/10 with 5 4/8.
Then , when you get 8 11/10 you do add mixed number.
Finally, you get the answer that is 9 1/10
Answer:
h(3)=n(h_3)×3that is the answer
Answer:
![\huge\boxed{BD = 12\ units}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BBD%20%3D%2012%5C%20units%7D)
Step-by-step explanation:
If AB = 5 , then AE = 5 [Radii of the same circle]
So,
AC = AE + EC
AC = 8+5
AC = 13 units
Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
Where c = AC , a = BD and b = AB
![13^2 = BD^2+5^2](https://tex.z-dn.net/?f=13%5E2%20%3D%20BD%5E2%2B5%5E2)
169 = BD² + 25
Subtracting 25 to both sides
169 - 25 = BD²
BD² = 144
Taking square root on both sides
BD = 12 units