To understand the relationship between diameters and chords in a circle, we first need to define both concepts: Diameter: A diameter of a circle is a straight line passing from one side of the circle to the other, going through the center. It is the longest chord in the circle. Chord: A chord of a … Read more
The inverse sine function, also known as arcsine, is denoted as sin-1(x) or arcsin(x). To find the inverse sine of 1/2, we are looking for an angle θ such that: sin(θ) = 1/2 In the unit circle, the sine of an angle refers to the y-coordinate of the point where the terminal side of the … Read more
To convert the decimal 0.69 into a fraction, we follow these steps: Write the decimal as a fraction: 0.69 can be written as 69/100. Here, we have placed the decimal over the number 1 followed by two zeros, because there are two digits after the decimal point. Simplify the fraction: Next, we need to reduce … Read more
To convert the improper fraction 18/5 into a mixed number, you’ll need to follow a few simple steps: Divide the Numerator by the Denominator: Start by dividing the numerator (18) by the denominator (5). Performing the division gives you: 18 ÷ 5 = 3 with a remainder of 3. Write Down the Whole Number: The … Read more
To convert the improper fraction 13/2 into a mixed number, you can follow these steps: Divide the numerator by the denominator: Here, you will divide 13 by 2. Calculate the whole number: When you divide 13 by 2, you get 6 as the whole number, because 2 x 6 = 12, which is the largest … Read more
2 to the power of 20 is calculated as follows: 220 = 2 x 2 x 2 x 2… (total of 20 times). The calculation results in: 220 = 1,048,576 Thus, the value of 2 to the power of 20 is 1,048,576. This means that if you can double a number 20 times, you will … Read more
The term “1 mod 4” refers to the mathematical operation of modulus, which finds the remainder of a division of one number by another. Specifically, in this case, we are dividing 1 by 4. To break it down: Division: When you divide 1 by 4, the result is 0 because 4 cannot go into 1 … Read more
Converting meters per second (m/s) to kilometers per hour (km/h) is a straightforward process that involves a simple mathematical operation. To convert the speed from meters per second to kilometers per hour, you can use the following formula: Speed (km/h) = Speed (m/s) × 3.6 Here’s the breakdown of the conversion: Meters to kilometers: There … Read more
Infinity raised to the power of zero is a concept that often perplexes students and enthusiasts of mathematics alike. Mathematically, this expression can be represented as ∞^0. To understand what this means, we need to delve into the properties of exponents. In general, any non-zero number raised to the power of zero equals one. This … Read more
To convert the fraction 1/8 into a percentage, you can follow these simple steps: Understand the Fraction: A fraction consists of a numerator and a denominator. In this case, 1 is the numerator, and 8 is the denominator. Divide the Numerator by the Denominator: Calculate 1 divided by 8. When you do this, you get: … Read more