To find the terminal point (px, y) on the unit circle determined by a given value of t, we first need to understand the relationship between the angle t and the coordinates on the unit circle. The unit circle is centered at the origin (0, 0) with a radius of 1. The angle t is … Read more
To find the result of dividing 10 by 15, we perform a simple division operation. The equation can be represented as: 10 ÷ 15 When we calculate this, we get: 0.6667 (rounded to four decimal places) This means that 10 is approximately two-thirds of 15. A more formal way to express this is: 10/15 = … Read more
The reciprocal of a fraction is obtained by switching the numerator and the denominator. To find the reciprocal of 2/3, we simply swap the two numbers. Hence, the reciprocal of 2/3 is 3/2. In more detail, if a fraction is represented as a/b, its reciprocal would be b/a. So, by applying this rule, for the … Read more
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