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The smallest unit of measurement commonly recognized in the International System of Units (SI) is the yoctometer (ym). A yoctometer is equal to 10-24 meters, making it incredibly tiny. To put this into perspective: 1 yoctometer is a billionth of a nanometer. It is the scale used to measure subatomic particles, such as quarks and … Read more

The area of a square can be calculated using the formula: Area = side × side In this case, the side length of the square picture is 16 inches. To find the area, we can substitute the side length into the formula: Area = 16 inches × 16 inches This calculation gives us: Area = … Read more

The diameter of an atom is approximately 1 x 10-10 meters. To convert this value to millimeters, we need to understand the relationship between meters and millimeters. 1 meter is equal to 1,000 millimeters. Therefore, to find the diameter in millimeters, we multiply the diameter in meters by 1,000: Diameter in mm = Diameter in … Read more

To find the number of sides of a polygon when you’re given the interior angle sum, you can use a straightforward mathematical formula. The formula states that the sum of the interior angles of a polygon can be calculated using the equation: Sum of interior angles = (n – 2) × 180° In this equation, … Read more

Writing the number pi (π) to 100 digits may seem daunting, but it’s quite straightforward once you know the value you’re working with. Pi is an irrational number, which means it has an infinite number of non-repeating decimals. For practical purposes, especially in mathematics and engineering, it’s often rounded to a certain number of decimal … Read more

To understand what 10 to the 2nd power means, we first need to grasp the concept of exponents. The expression 102 is mathematically represented as: 10 is the base number. 2 is the exponent. The exponent indicates how many times to multiply the base number by itself. Therefore, 102 = 10 imes 10. When you … Read more

To express the number 15 as a fraction in the lowest terms, we can follow these steps: Understanding the Concept of Fractions: A fraction consists of a numerator and a denominator. In this case, we can consider 15 as a fraction by placing it over 1. Therefore, we can represent 15 as: 15 = 15/1 … Read more

A proportional relationship in mathematics refers to a relationship where two quantities maintain a constant ratio or a consistent relationship with each other. This means that as one quantity changes, the other quantity changes in a predictable way, relative to the first quantity. In more technical terms, if we express two variables, say x and … Read more

To determine the measure of angle BCD, which is a circumscribed angle of circle A, we first need to recall the properties of circumscribed angles. A circumscribed angle is formed by two secants (or tangents) drawn from an external point that touches the circle. The measure of a circumscribed angle is equal to half the … Read more