Example Question - logical argument
Here are examples of questions we've helped users solve.
Completing a Logical Argument Involving Circle Geometry
Premis/Premise 1: <p>\text{Jika jejari sebuah bulatan ialah 7 cm, maka lilitan bulatan itu ialah 14x.}</p> <p>\text{If the radius of the circle is 7 cm, then the circumference of the circle is 14x.}</p> Premis/Premise 2: <p>\text{Untuk mencari lilitan sebuah bulatan, kita gunakan rumus } C = 2\pi r \text{.}</p> <p>\text{To find the circumference of a circle, we use the formula } C = 2\pi r \text{.}</p> Kesimpulan/Conclusion: <p>\text{Jejari bulatan itu bukan 7 cm.}</p> <p>\text{The radius of the circle is not 7 cm.}</p> Maka, Premis 2 harus menyatakan hubungan antara jejari dan lilitan dengan menggunakan formula yang betul supaya argumen logik ini sah. Premis 2 adalah: <p>\text{Oleh itu, jika jejari bulatan itu ialah 7 cm, kita boleh gunakan rumus } C = 2\pi r \text{ untuk mencari lilitannya, yang mana } C = 2\pi(7) = 14\pi \text{ cm, dan bukannya 14x.}</p> <p>\text{Therefore, if the radius of the circle is 7 cm, we can use the formula } C = 2\pi r \text{ to find its circumference, which is } C = 2\pi(7) = 14\pi \text{ cm, not 14x.}</p>
Evaluating Compound Statements and Solving for the Volume of a Cone
<p>P: Compound statement is true.</p> <p>Q: K can have any real value.</p> <p>R: The volume of cone is \(\frac{1}{3}\pi r^2h\).</p> <p>The relationship given is \(Q \to P\), which reads as "If Q then P".</p> <p>Since P is true, it does not give us information about the truth value of Q because a true conclusion can come from both a true or false premise. That means K can have any real value.</p> <p>Given R: The volume of a cone formula is \(V = \frac{1}{3}\pi r^2h\), where \(r\) is the radius and \(h\) is the height of the cone. This is generally true for any cone, and the given statement R is a standard formula used to calculate the volume of a cone.</p>
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