What can be said about two scalene triangles that are similar with a scale factor of 52?

When we say that two scalene triangles are similar with a scale factor of 52, it means that all their corresponding angles are equal, and their sides are proportional to each other by a ratio of 52:1. This implies several important properties and characteristics about these triangles. Firstly, the fact that the triangles are scalene … Read more

What is the smallest 5-digit number and how can it be represented using a prime factor tree diagram?

The smallest 5-digit number is 10000. To express this number using its prime factors, we can break it down systematically. First, we start by finding the prime factorization of 10000. The process involves continuously dividing the number by the smallest prime numbers until we reach 1. Here’s how the prime factor tree diagram for 10000 … Read more

What is the value of tan(60) multiplied by tan(60)?

To solve for tan(60) * tan(60), we first need to determine the value of tan(60 degrees). The tangent of 60 degrees is a well-known value in trigonometry: tan(60 degrees) = √3 or approximately 1.732. Now, if we calculate tan(60) * tan(60): tan(60) * tan(60) = (√3) * (√3) This simplifies to 3. Therefore, tan(60) * … Read more