Answer:
789
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
Using Secants ad Segments Theorem we can say;
(x + 7) (7) = (15 + 6) (6)
7x + 49 = (21) (6)
7x + 49 = 126
7x = 77
x = 11
Hope this helps!
They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.
Let's consider x=chord PQ first. By the Law of Cosines
![x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ](https://tex.z-dn.net/?f=x%5E2%20%3D%203%5E2%20%2B%205%5E2%20-%202%283%29%285%29%20%5Ccos%2081%5E%5Ccirc%20%3D%2034%20-%2030%5Ccos%2081%5E%5Ccirc)
We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,
![x^2 = 9^2 + 9^2 - 2(9)(9) \cos B](https://tex.z-dn.net/?f=x%5E2%20%3D%209%5E2%20%2B%209%5E2%20-%202%289%29%289%29%20%5Ccos%20B)
![x^2 = 162 - 162 \cos B](https://tex.z-dn.net/?f=x%5E2%20%3D%20162%20-%20162%20%5Ccos%20B)
![\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}](https://tex.z-dn.net/?f=%5Ccos%20B%20%3D%20%5Cdfrac%7B162%20-%20x%5E2%7D%7B162%7D%20%3D%201%20-%20%5Cdfrac%7Bx%5E2%7D%7B162%7D)
![\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}](https://tex.z-dn.net/?f=%5Ccos%20B%20%3D%201%20-%20%5Cdfrac%7B34%20-%2030%5Ccos%2081%5E%5Ccirc%7D%7B162%7D)
![B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)](https://tex.z-dn.net/?f=B%20%3D%20%5Carccos%20%5Cleft%281%20-%20%5Cdfrac%7B34%20-%2030%5Ccos%2081%5E%5Ccirc%20%7D%7B162%7D%20%5Cright%29)
The area of the circle is the fraction given by the angle,
![A = \dfrac{B}{360^\circ} \pi r ^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cdfrac%7BB%7D%7B360%5E%5Ccirc%7D%20%5Cpi%20r%20%5E2)
![A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2](https://tex.z-dn.net/?f=A%20%5Capprox%20%5Cdfrac%7B%20%5Carccos%20%5Cleft%281%20-%20%5Cdfrac%7B34%20-%2030%5Ccos%2081%5E%5Ccirc%7D%7B162%7D%20%5Cright%29%20%7D%7B360%7D%20%283.142%299%5E2)
![A\approx 24.7474332960707](https://tex.z-dn.net/?f=A%5Capprox%2024.7474332960707)
Answer: 24.7 sq cm
Answer:
Step-by-step explanation:
my cat ate my dog s
Answer:
44 and 22
Step-by-step explanation: