What is the sum of the angles of an octagon?
To find the sum of the interior angles of an octagon, we can use a simple formula based on the number of sides of the polygon. The formula for calculating the sum of the interior angles of any polygon is: Sum of interior angles = (n – 2) × 180° Here, n represents the number […]
How much is 7 to the power of 5?
7 to the power of 5, or 75, is calculated by multiplying 7 by itself four more times. This can be expressed as: 7 × 7 × 7 × 7 × 7 Now, let’s calculate it step by step: 7 × 7 = 49 49 × 7 = 343 343 × 7 = 2401 2401 […]
What is the smallest prime number?
The smallest prime number is 2. A prime number is defined as a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In simpler terms, a prime number is a number that has exactly two distinct positive divisors: 1 and itself. The number 2 fits this definition because its […]
What is 13 of 12?
The phrase ’13 of 12′ can be a bit confusing at first glance, but it usually refers to finding 13% of the number 12. To calculate 13% of 12, you can follow these steps: Convert the percentage to a decimal: 13% becomes 0.13. Multiply the decimal by the number: 0.13 x 12. When you do […]
How much is 14 to the power of 2?
14 to the power of 2, also written as 14², is equal to 196. To understand this, we can break it down: raising a number to a power means to multiply that number by itself a certain number of times. In this case, since the exponent is 2, we multiply 14 by itself: 14 × […]
What is 23 of 12?
To understand what ’23 of 12′ means, we can interpret it as finding 23 percent of the number 12. To calculate this, we multiply the number 12 by 0.23 (which is the decimal form of 23%). Here’s how the calculation works: 23% of 12 = 12 * 0.23 Performing the multiplication, we get: 12 * […]
What is 45 minutes in decimal?
To convert 45 minutes into a decimal, you need to express it as a fraction of an hour. There are 60 minutes in an hour, so you can use the following calculation: Decimal calculation: 45 minutes ÷ 60 minutes = 0.75 Therefore, 45 minutes is equal to 0.75 in decimal form. This means that if […]
What is the square root of 40 as a fraction?
The square root of 40 can be expressed as a fraction, but first, we should simplify it. The square root of 40 can be broken down into its prime factors: 40 = 4 × 10 4 = 2 × 2 10 = 2 × 5 So, we have: √40 = √(4 × 10) = √4 […]
What is the inverse of the function f(x) = 2x + 1?
To find the inverse of the function f(x) = 2x + 1, we will follow a series of steps. 1. Start by replacing f(x) with y: y = 2x + 1 2. Next, we need to solve for x in terms of y. First, we can subtract 1 from both sides: y – 1 = […]
To Convert 5 to a Fraction, What Would the Denominator Be?
To convert the whole number 5 into a fraction, you can represent it as 5/1. This means that the number 5 is equivalent to 5 whole parts out of 1 whole. The denominator in this case is 1. The reason we use 1 as the denominator is that any whole number can be expressed as […]