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To find the coordinates of the point (1, 2) after a rotation of 180 degrees about the origin, we can use a simple rule for rotation in the Cartesian coordinate system. A rotation of 180 degrees around the origin inverts the coordinates of the point. This means that the transformation can be expressed mathematically as: … Read more

The expression 3 to the power of 12 can be mathematically represented as 312. To calculate this, you multiply the number 3 by itself 12 times. The calculation goes as follows: 3 × 3 = 9 9 × 3 = 27 27 × 3 = 81 81 × 3 = 243 243 × 3 = … Read more

The number forty-six thousand and fifty-eight is represented numerically as 46,058. To break it down: The term forty-six thousand translates to the number 46,000. Adding fifty-eight gives us 58. Thus, when you combine these two parts, you get 46,000 + 58 = 46,058. So, whenever you need to refer to forty-six thousand and fifty-eight, just … Read more

To calculate the percent increase in price, you can follow these steps: Find the difference in price: Start by subtracting the original price from the new price. In this case, the difference is: New Price – Original Price = $550 – $500 = $50 Calculate the percent increase: Next, take the difference you found and … Read more

To find the number of whole numbers between 32 and 53, we start by identifying the whole numbers that lie within this range. Whole numbers are non-negative integers starting from 0 and include every integer up to the maximum in our specified range. The whole numbers between 32 and 53 are: 33, 34, 35, 36, … Read more

The circumference of a circle can be calculated using the formula: C = 2πr Where: C is the circumference π (Pi) is approximately 3.14159 r is the radius of the circle For a circle with a radius (r) of 4 units, we can substitute the value into the formula: C = 2 × π × … Read more

The volume of a sphere can be calculated using the formula: V = (4/3) × π × r³ Where: V is the volume of the sphere. π (Pi) is approximately 3.14159. r is the radius of the sphere. For a sphere with a radius (r) of 3 cm, we can plug that value into the … Read more

Suzanne has a reading speed of 1 page every 3 minutes. To determine how many pages she can read in 5 hours, we first need to convert the time from hours to minutes. 5 hours is equivalent to: 5 hours x 60 minutes/hour = 300 minutes Now that we know she has 300 minutes available, … Read more

To find the length of a segment in a circle, follow these steps: Understand the terminology: In a circle, a segment is defined as the region enclosed by a chord and the arc that connects the endpoints of that chord. The length of the segment can be found using specific measurements of the circle. Identify … Read more

To find the slope of a line that passes through two points, we use the formula: Slope (m) = (y2 – y1) / (x2 – x1) In our case, the two points are (3, 4) and (2, 1). We will assign: Point 1 (x1, y1) = (3, 4) Point 2 (x2, y2) = (2, 1) … Read more