Can You Solve These Puzzling Questions?

1️⃣ Algebra – Exponential Equations

If 3^(x+1) + 3^x = 36, what is the value of x?

2️⃣ Advanced Geometry – Circles and Tangents

A circle with center (3,4) is tangent to the x-axis. What is the equation of the circle?

3️⃣ Trigonometry – Trig Identities & Angles

If sin⁡θ=3/5 and θ is in Quadrant II, what is cosθ?

4️⃣ Data Analysis – Probability & Combinations

A restaurant offers 4 appetizers, 5 main courses, and 3 desserts. If a meal consists of one appetizer, one main course, and one dessert, how many different meals can be ordered if one of the main courses is unavailable?

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ps: These questions are okay-ish. Join AU Tutoring for a real challenge :)