How to find the number of sides in a polygon
To find the number of sides in a polygon, you can use a straightforward method depending on the information you already have about the polygon. If you know the sum of the interior angles of the polygon, you can use the following formula: Sum of interior angles = (n – 2) × 180° Here, n […]
Which is a factor of x² + 9x + 14?
To determine a factor of the quadratic expression x² + 9x + 14, we can start by factoring it. We need to find two numbers that multiply to +14 (the constant term) and add up to +9 (the coefficient of x). After evaluating the factors of 14, we find that the pair (2, 7) works […]
What is the equation of a line through the points (0, 9) and (3, 0)?
To find the equation of the line that passes through the points (0, 9) and (3, 0), we can start by calculating the slope of the line using the formula: slope (m) = (y2 – y1) / (x2 – x1) Here, (x1, y1) = (0, 9) and (x2, y2) = (3, 0). Now substituting these […]
What is 1 2 of 2 3 in a fraction?
To find what 1 2 of 2 3 is in fraction form, we start by converting the mixed number into an improper fraction. 1 2 can be represented as: 1 (whole part) = 2/2 2 (numerator) = 2 So, 1 2 can be expressed as: 1 2 = 2/2 + 2/2 = 4/2 = 3/2 […]
How to Subtract a Whole Number from a Mixed Fraction
To subtract a whole number from a mixed fraction, you need to follow a few simple steps to ensure the calculation is accurate. Let’s break it down: Convert the Mixed Fraction: First, convert the mixed fraction into an improper fraction. A mixed fraction is made up of a whole number and a proper fraction (for […]
Select the proper order from least to greatest for 23, 76, 18, 910
To arrange the numbers 23, 76, 18, and 910 from least to greatest, we need to compare their values: 18 23 76 910 Starting with the smallest number, we see that 18 is less than 23, which is less than 76, and finally, 910, which is much larger than the other three. So, when we […]
What is the circumference of the given circle in terms of pi?
The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. If you know the radius of the circle, simply multiply it by 2 and then multiply that result by π (pi). For example, if the radius of the circle […]
What type of triangle has side lengths of 4, 7, and 9?
To determine the type of triangle formed by the side lengths of 4, 7, and 9, we first need to check if these lengths can form a triangle using the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides must be greater than the length of the remaining […]
If x = 1, x = 3, then what is the value of x³ – 1x³?
To solve the expression x³ – 1x³, we need to substitute the values of x into the expression. First, let’s clarify the statement: if x = 1 or x = 3, we can evaluate the expression for both values of x. For x = 1: Substituting x = 1 into the expression: x³ = 1³ […]
Find the value of sin 75°
To find the value of sin 75°, we can use the sine addition formula. The sine addition formula states that: sin(a + b) = sin(a)cos(b) + cos(a)sin(b) In this case, we can express 75° as the sum of two angles whose sine and cosine values we know. A common choice is: 75° = 45° + […]