devyy The reciprocal of a number is simply 1 divided by that number. In mathematical terms, if you have a number x, its reciprocal is written as 1/x. This concept is fundamental in mathematics and can be particularly useful in various applications, including solving equations and working with fractions. For example, let’s consider the number 5. … Read more
To convert the decimal 0.125 into a fraction, follow these steps: Identify the decimal: The decimal we want to convert is 0.125. Count the decimal places: The number 0.125 has three decimal places. Convert to a fraction: Since 0.125 has three decimal places, you can express it as: 0.125 = rac{125}{1000} Simplify the fraction: Next, … Read more
A square is a special type of polygon that belongs to the category of quadrilaterals. By definition, a quadrilateral is a shape that has four sides. Therefore, a square has four sides. What sets a square apart from other quadrilaterals is its unique properties: all four sides of a square are of equal length, and … Read more
A geometric sequence is defined as a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this case, we have two terms: 1250 and 50. To find the common ratio (r) of the sequence, we can use the … Read more
A quart is a unit of volume measurement that is commonly used in the United States and in many other countries. It is equal to 1/4 of a gallon or 2 pints. To break it down further, a quart is equivalent to 32 fluid ounces (fl oz) in the United States customary system. To give … Read more
A quadrilateral with two sets of parallel sides is known as a parallelogram. In geometric terms, a parallelogram is defined as a four-sided figure (quadrilateral) where opposite sides are both equal in length and parallel to each other. Parallelograms come with several intriguing properties. For instance, the opposite angles are equal, and the adjacent angles … Read more
To find the length of each side of an equilateral triangle, you’ll first need to understand that all three sides of the triangle are equal in length. Given the perimeter of the triangle is 15×3 + 33×5 feet, the formula for the perimeter of an equilateral triangle is: Perimeter = 3 × side length We … Read more
To find the equation of a line that is perpendicular to the line given by the equation y = 4x + 5 and passes through the point (8, 3), we can follow these steps: Determine the slope of the given line: The equation of the line is in the slope-intercept form y = mx + … Read more
To find the next number in the sequence 256, 196, 144, 100, 64, 36, 16, we can start by examining the numbers and identifying any patterns or relationships between them. These numbers can be expressed as perfect squares of descending integers: 256 is 162 196 is 142 144 is 122 100 is 102 64 is … Read more
To simplify the radical expression √(2 * 5 * 2 * 5), we start by multiplying the values inside the square root. First, we can regroup the numbers: √(2 * 2 * 5 * 5) = √(4 * 25) Next, we calculate the products: 4 is a perfect square and equals 22 25 is also … Read more