What is the formula of a rectangle?
The formula for the area of a rectangle is Area = Length × Width. In this formula, the ‘Length’ represents the longer side of the rectangle, while the ‘Width’ corresponds to the shorter side. To find the area, you simply multiply these two dimensions together. For example, if a rectangle has a length of 5 […]
How Many Fluid Ounces in a Gallon?
A gallon contains 128 fluid ounces. To break it down a bit further, there are two types of gallons commonly used: the US gallon and the UK gallon. The US gallon is equivalent to 128 fluid ounces, while the UK gallon, which is slightly larger, contains 160 fluid ounces. However, if you’re in the US, […]
What is the volume of a sample of water in liters if it is 25 milliliters (ml)?
To convert milliliters to liters, you need to know the conversion factor: 1 liter is equal to 1000 milliliters. Therefore, to find the volume of the sample in liters, you divide the volume in milliliters by 1000. In this case, the calculation is as follows: Volume in liters = Volume in milliliters / 1000 Plugging […]
Find the Slant Height for a Right Circular Cone with a Radius of 3 cm and a Height of 5 cm
To find the slant height of a right circular cone, you can use the Pythagorean theorem. The formula for the slant height (l) is: l = √(r² + h²) where r is the radius of the base, and h is the height of the cone. In this case, the radius r is 3 cm, and […]
What is the completely factored form of x^4 – 8x^2 + 9?
To find the completely factored form of the polynomial x4 – 8×2 + 9, we can use substitution to simplify our work. Let’s set y = x2. Then the expression becomes: y2 – 8y + 9 Next, we want to factor this quadratic expression. We need to find two numbers that multiply to 9
How do you solve the equation y + 6 + 3y = 26?
To solve the equation y + 6 + 3y = 26, we first need to combine like terms on the left side of the equation. Start by combining the y terms: y + 3y = 4y Now the equation looks like this: 4y + 6 = 26 Next, we need to isolate y. To do […]
What is the volume of a sphere with a diameter of 4 centimeters?
The volume of a sphere can be calculated using the formula: V = (4/3)πr³, where r is the radius of the sphere. Since the diameter of the sphere is 4 centimeters, we first need to find the radius. The radius is half of the diameter, so: r = diameter / 2 = 4 cm / […]
What is the slope of the line that has the equation 4x + 2y = 12?
To find the slope of the line represented by the equation 4x + 2y = 12, we need to rearrange this equation into the slope-intercept form, which is y = mx + b, where m represents the slope. 1. Start with the original equation: 4x + 2y = 12 2. Subtract 4x from both sides: […]
How many feet are in a meter?
One meter is equal to approximately 3.28084 feet. To convert meters to feet, you can use this conversion factor. For example, if you have a measurement of 5 meters and want to convert it to feet, you would multiply 5 by 3.28084, resulting in about 16.4042 feet. This conversion is helpful in various situations, especially […]
Which polynomial function has x intercepts 1, 0, and 2 and passes through the point (1, 6)?
To find a polynomial function that has x-intercepts at 1, 0, and 2, we can express the function in its factored form. The intercepts indicate that the factors of the polynomial will be (x – 1), (x – 0), and (x – 2). Thus, we can start with the polynomial: f(x) = k * x […]