devyy The number of significant figures in a number is crucial for precision in measurements. In the case of the measurement 1050l (assuming the ‘l’ is a typographical error for a number), we analyze each part of the number to determine the significant figures. For the number 1050, it appears initially that we have four digits. … Read more
To prove that the diagonals of a parallelogram with equal adjacent sides and one diagonal equal to a side are in the ratio of √3:1, we can follow these steps: Understanding the parallelogram properties Let’s denote the parallelogram as ABCD where AB = BC (adjacent sides are equal). Since we have mentioned that one diagonal … Read more
To determine how many spaces are filled in a parking lot that holds 1,600 cars and is filled to three-fourths of its capacity, we can follow a simple calculation. First, we need to find three-fourths of 1,600. This can be calculated by multiplying 1,600 by the fraction 3/4. Here’s the calculation: 1,600 x (3/4) = … Read more
Finding the center of mass (or centroid) of a right triangle is a straightforward process. The centroid is the point where the three medians of the triangle intersect, and it serves as the balance point of the shape. Here’s how you can calculate it: Steps to Find the Centroid of a Right Triangle Identify the … Read more
To determine the center and radius of a circle given the endpoints of its diameter, we can follow these steps: 1. **Identify the coordinates of endpoints:** Here, we’re given two points, P(10, 2) and Q(46, y). However, from the problem, we need to also establish the y-coordinate for Q to proceed. For this explanation, let’s … Read more
To determine the length of side QR in triangle PQR, we first need to establish some basic rules about triangles. Given that in any triangle, the sum of the lengths of any two sides must always be greater than the length of the third side, we can utilize this principle to analyze the options available. … Read more
To solve the quadratic equation x2 + 10x + 24 = 0 by completing the square, follow these steps: Move the constant to the other side: Start by subtracting 24 from both sides of the equation: x2 + 10x = -24 Complete the square: To do this, take the coefficient of x (which is 10), … Read more
To solve the equation 8 + 2x + 8x = 14, we will follow a series of steps to isolate the variable x. Combine like terms: In the equation, we have 2x and 8x, which can be combined. 2x + 8x = 10x Now, rewrite the equation with the combined terms: 8 + 10x = … Read more
To convert the speed of a bird from miles per minute to miles per hour, we need to understand the relationship between minutes and hours right away. There are 60 minutes in an hour. If a bird flies 23 miles in one minute, to find out how far it flies in one hour, we can … Read more
One cubic centimeter (cm³ or cc) is a unit of volume that is defined as the volume of a cube with edges that are each one centimeter long. This means that if you were to visualize a small cube where every side measures exactly 1 cm, the space it occupies inside that cube represents one … Read more