To calculate 1.2 to the power of 5, we need to multiply 1.2 by itself five times. In mathematical terms, it’s written as: 1.2 x 1.2 x 1.2 x 1.2 x 1.2 Let’s break it down step by step: First, 1.2 x 1.2 = 1.44 Next, 1.44 x 1.2 = 1.728 Then, 1.728 x 1.2 … Read more
To find the surface area of a sphere when you have its volume, you can use the formulas for both the volume and surface area of a sphere. The formula for the volume (V) of a sphere is given by: V = \frac{4}{3} \pi r^3 where r is the radius of the sphere. And the … Read more
The area of a rectangle can be calculated using the formula: Area = Width × Length In this case, we have: Width = 8 inches Length = 12 inches Now, plug in the values: Area = 8 inches × 12 inches = 96 square inches Therefore, the area of the rectangle is 96 square inches. … Read more
In the Gregorian calendar, which is the calendar system most commonly used today, there are a total of seven months that have 31 days. These months are: January March May July August October December This means that over half of the months in a year have the maximum number of days, which adds to the … Read more
Understanding Real Numbers In mathematics, a real number is any value that can be found on the number line. This includes all the integers, fractions, and irrational numbers. Simply put, real numbers encompass a wide variety of numeric types, and they are a fundamental concept in both algebra and calculus. Types of Real Numbers Real … Read more
To find the volume of a solid that is rotated around the y-axis, we can utilize the method of cylindrical shells or the disk/washer method. Here’s a detailed explanation of both methods: Cylindrical Shells Method This method is particularly useful when the solid is defined as a function of x. The volume (V) can be … Read more
Understanding the Relationship Between Liters, Cubic Decimeters, and Milliliters When exploring the world of measurements, particularly liquid volumes, it’s essential to establish the connections between different units. Three commonly used units are liters (L), cubic decimeters (dm³), and milliliters (mL). Let’s break this down to understand their relationships. 1. Definition of Units: Liter (L): A … Read more
To find out what number 21 is 75 percent of, you can use a simple algebraic approach. Let’s denote the unknown number as X. We know that 75 percent can be written as a fraction: 75% = 75/100 = 0.75. According to the problem, 21 is equal to 75 percent of X, which can be … Read more
A four-sided shape is commonly referred to as a quadrilateral. This term is derived from the Latin words “quadri,” meaning four, and “latus,” meaning sides. Quadrilaterals are a fundamental part of geometry and are defined as any polygon that has exactly four edges and four vertices. Quadrilaterals can be categorized into various types based on … Read more
To find the prime factorization of 48, we start by dividing the number by the smallest prime number, which is 2. 1. First, we calculate: 48 ÷ 2 = 24 2. Next, we divide 24 by 2 again: 24 ÷ 2 = 12 3. Continuing, we divide 12 by 2: 12 ÷ 2 = 6 … Read more