To find the median of a set of numbers, you need to follow a few straightforward steps. The median is the middle value in a list of numbers that have been sorted in ascending or descending order. Let’s break down the process using the numbers provided: 12, 8, 5, 6, 1, 10, and 13. 1. … Read more
To calculate the arc length intercepted by a given angle in a circle, we can use the formula: Arc Length (L) = (θ / 360) x 2πr Where: L = Arc Length θ = Angle in degrees r = Radius of the circle Given: Radius (r) = 4 cm Angle (θ) = 45 degrees Now, … Read more
To find the sum of the terms 5m, 3n, p, 5p, 3n, and 2n m, you need to combine like terms. Like terms are those that have the same variable parts. 1. **Identify the like terms**: Terms with ‘m’: 5m Terms with ‘n’: 3n, 3n, 2n m (note: 2n m can be broken down as … Read more
To solve for f(x) when x = 5, we first need to understand the function f(x). In this case, it is assumed that f(x) = 5 imes 40, which is a constant multiplication of the two numbers regardless of the value of x. Calculating 5 imes 40, we get: 5 imes 40 = 200 Since … Read more
To find the angles that are coterminal with a 145-degree angle, we must understand that two angles are coterminal if they differ by a multiple of 360 degrees. This means that if we add or subtract 360 degrees from a given angle, we will arrive at a coterminal angle. Here’s how to find some of … Read more
To find the equation of a plane that passes through three points, we first need to determine the points in a three-dimensional space. In this case, we have the points: P1 (0, 0, 0) P2 (9, 9, 0) P3 (9, 9, 9) We can represent these points as vectors: P1 = (0, 0, 0) P2 … Read more
The period of the function, y = tan(kx), where k is a constant, is given by the formula: Period = π / k In your case, the function is y = tan(12x). Here, k is equal to 12. To find the period, we can substitute the value of k into the formula: Period = π … Read more
The lengths of the sides of a triangle are given in the ratio of 5:6:7. Let us denote the lengths of the sides as follows: 5x 6x 7x Here, ‘x’ is a common multiplier that we need to find. The perimeter of the triangle can be calculated by adding all three sides: Perimeter = 5x … Read more
To express the situation described in your question, we first need to break down the components of the inequality. We are given that: The product of 7 and a variable x is 7x. We then add 3 to this product, leading to 7x + 3. This sum is stated to be less than 26. Putting … Read more
To find the odd numbers between 36 and 53, we start by identifying the first odd number after 36 and continue to list the odd numbers up to 53. The first odd number after 36 is 37. From there, we can simply add 2 to each subsequent number to get the next odd number. Here … Read more