The slope of a line is calculated using the formula: Slope (m) = (y2 – y1) / (x2 – x1) For the points (3, 0) and (3, 3), we have: (x1, y1) = (3, 0) (x2, y2) = (3, 3) Plugging these values into the slope formula: m = (3 – 0) / (3 – … Read more
To find the length of a line segment within a circle, you can follow these steps: Method 1: Using the Radius and Central Angle 1. **Identify the Circle’s Attributes**: Begin by noting the radius of the circle (denoted as r) and the central angle (denoted as θ) that subtends the line segment you wish to … Read more
To determine what percentage 15 is of 20, you can use the following formula: Percentage = (Part / Whole) * 100 In this case, the Part is 15, and the Whole is 20. Now, plug the values into the formula: Percentage = (15 / 20) * 100 Next, perform the division: 15 / 20 = … Read more
Finding the value of x in a triangle can involve different methods depending on the information provided and the type of triangle in question. Here are some common approaches: 1. Using the Triangle Sum Theorem One of the fundamental rules of triangles is that the sum of all internal angles must equal 180 degrees. If … Read more
A regular hexagon can be divided into several equilateral triangles based on its geometric properties. Specifically, a regular hexagon consists of 6 sides and when you draw lines connecting the center of the hexagon to each of its vertices, you create 6 equilateral triangles. To visualize this, imagine a regular hexagon sitting flat, and then … Read more
A polynomial can be defined as an expression that consists of variables (or indeterminates) raised to non-negative integer powers, along with coefficients. The degree of a polynomial is determined by the highest power of the variable in the expression. In the case of the number 3, it can be interpreted as a polynomial, specifically a … Read more
To explore whether the product of sin 30 degrees and sin 60 degrees is the same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees, we first need to calculate each side of the equation. Calculating sin 30 and sin 60 We know that: sin 30 degrees … Read more
A liter is a standard unit of volume in the metric system, and it is widely used across various fields including cooking, science, and everyday life. To understand the conversion between liters and milliliters, it’s essential to know the relationship between these two units of measurement. One liter is equivalent to 1,000 milliliters. This means … Read more
To convert the decimal 0.24 into a percentage, you follow a simple mathematical process. A percentage is essentially a fraction out of 100, so to convert a decimal to a percentage, you need to multiply the decimal by 100. Here’s a step-by-step breakdown: Start with the decimal: 0.24 Multiply by 100: 0.24 × 100 = … Read more
Converting 1 meter to centimeters is a straightforward process because of the relationship between these two units of measurement. There are 100 centimeters in 1 meter. Therefore, to convert meters to centimeters, you simply multiply the number of meters by 100. So, in the case of converting 1 meter: 1 meter x 100 = 100 … Read more