In order to solve the given expression follow these steps:
1. Take the square roots on both sides in order to get rid of the power on the left side:
√(x-5)² = ±√3
x - 5 = ±√3
2. add 5 on both sides:
x-5 + 5 = 5 ±√3
x = 5 ±√3
Then, the solution is x = 5 ±√3
X =-1+2c/3
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Answer:C
Step-by-step explanation:
Area = 1/2 b h
Area = 1/2 * 9 * 9 = 40.5 sq cm
Answer:

Step-by-step explanation:
Since Segment BOA is a diameter:

Arc Ac and Arc CB are in a ratio of two to four. Since Segment BOA is a diameter, Arc ACB measures 180°. Letting the unknown value be <em>x</em>, we can write that:

Hence:

Thus, Arc CB = 120°. By the Inscribed Angle Theorem:

Therefore, ΔABC is a 30-60-90 triangle. Its sides are in the ratios shown in the image below.
Since AC is opposite from the 30° triangle, let AC = <em>a</em>.
We are given that AC = 9. Hence, <em>a</em> = 9.
BC is opposite from the 60° angle and it is given by <em>a</em>√3. Therefore:
