devyy To find what three-fourths of sixteen is, you can use a simple mathematical operation involving fractions. Here’s how to do it step by step: Understand the fraction: Three-fourths can be represented as the fraction 3/4. Multiply: To find three-fourths of a number, you multiply that number (in this case, 16) by the fraction 3/4. So … Read more
10 to the first power, denoted as 101, is quite simple to understand. When you raise a number to the power of 1, the result is always the number itself. This principle applies across all real numbers. Therefore, when you calculate 101, you are literally saying, “What is 10 multiplied by itself one time?” The … Read more
To convert the fraction 3/12 into a decimal, you need to perform the division of the numerator (the top number) by the denominator (the bottom number). Here’s a step-by-step breakdown: Identify the numerator and denominator: In this case, 3 is the numerator and 12 is the denominator. Perform the division: Divide 3 by 12. This … Read more
Calculating the Area of a Regular Hexagon To find the area of a regular hexagon, we can use the formula: A = rac{3 ext{√3}}{2} imes r^2 Where A is the area and r is the radius of the circumscribed circle (which is also the distance from the center to a vertex). In this case, the … Read more
The length of the diagonal of a right rectangular prism can be calculated using the 3-dimensional version of the Pythagorean theorem. A right rectangular prism has three dimensions: length (l), width (w), and height (h). The diagonal (d) of the prism connects opposite corners and can be found using the following formula: d = √(l² … Read more
To calculate the value of 5 to the power of 9, you would multiply 5 by itself a total of 9 times. This expression can be written mathematically as: 5^9 = 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 If we break it down step by … Read more
To find 15 percent of 150, you can follow a simple mathematical procedure. First, it’s important to understand that ‘percent’ means ‘per hundred.’ Therefore, 15 percent can be expressed as a fraction: 15/100. Now, to calculate 15 percent of 150, you can multiply 150 by 15/100: Step 1: Convert the percentage to a decimal. 15 … Read more
To find the next three terms in the sequence 2, 5, 10, 17, 26, we first need to identify a pattern in the differences between consecutive terms. Here are the terms of the sequence: 1st term: 2 2nd term: 5 3rd term: 10 4th term: 17 5th term: 26 Now, let’s calculate the differences: 5 … Read more
Driving a distance of 40 miles at a speed of 60 miles per hour (mph) can be calculated using the simple formula: Time = Distance / Speed. In this case, you would divide the distance (40 miles) by the speed (60 mph): Time = 40 miles / 60 mph When you perform the calculation, you … Read more
When we talk about raising a number to a power, we’re referring to the process of multiplying that number by itself a specified number of times. In the case of 20 raised to the power of 2, it means we will multiply 20 by itself. So, mathematically, it can be expressed as: 202 = 20 … Read more