To convert radians to degrees, you can use the conversion formula: Degrees = Radians × (180° / π) In this case, we want to convert π/3 radians into degrees. So we can plug in the value into our formula: Degrees = (π/3) × (180° / π) Notice that the π in the numerator and the … Read more
To calculate the area of the shaded sector of a circle, you need two specific pieces of information: the radius of the circle and the angle of the sector in degrees or radians. The formula to find the area of a sector is: In degrees: Area = (θ / 360) * π * r2 In … Read more
Finding the radius of a sphere when you have its volume is a straightforward process that involves some basic algebra and geometric formulas. The volume V of a sphere is calculated using the formula: V = (4/3) * π * r³ where r is the radius of the sphere and π (pi) is approximately 3.14159. … Read more
To calculate 2 raised to the power of 3, you multiply 2 by itself three times. This can be expressed as: 2 x 2 x 2 Now, let’s break it down step-by-step: First, multiply the first two 2’s: 2 x 2 = 4 Next, take that result and multiply it by the third 2: 4 … Read more
The number 2 can be expressed as a fraction. In its simplest form, 2 is written as 2/1. This means that if you have 2 whole parts, like 2 apples, it can be represented as ‘2 out of 1’ whole, which makes sense since 2 is simply double one whole. To understand how we got … Read more
When you raise any number to the power of 1, the result is simply the number itself. This is because the exponent indicates how many times the base number is multiplied by itself. For example: If you take the number 7 and raise it to the power of 1, it is written as 71, which … Read more
To find half of any number, you simply divide that number by 2. In this case, we’re looking to find half of 35. So you take the number 35 and perform the division: 35 ÷ 2 = 17.5 This means that half of 35 is 17.5. It’s worth noting that when dealing with an odd … Read more
When you raise the number zero to the power of 2, the calculation can be expressed as: 02 = 0 * 0 This means that you multiply zero by itself. Since the multiplication of zero with any number, including itself, results in zero, we arrive at: 02 = 0 Thus, the answer to zero raised … Read more
When it comes to exponents, you might wonder what happens when you raise any number to the power of 0. The straightforward answer is that any non-zero number raised to the power of 0 is equal to 1. This might seem a bit perplexing at first, so let’s delve into the reasoning behind this rule. … Read more
To find out what 5 percent of 200 is, you can use a simple mathematical formula. The formula to calculate a percentage is: Percentage = (Part / Whole) * 100 In this case, we want to find out what part of 200 is equal to 5 percent. We can also do this by multiplying: 5 … Read more