What is the measure of a right angle and a straight angle?
A right angle measures 90 degrees, while a straight angle measures 180 degrees. A right angle is characterized by its L-shape, formed when two lines intersect to create a quarter turn. This is a crucial concept in geometry, as it sets the foundation for understanding other angles. You can often see right angles in various […]
What is an 11 Sided Polygon Called?
An 11 sided polygon is called a hendecagon, or sometimes an undecagon. The term ‘hendecagon’ is derived from the Greek words ‘hendeka,’ meaning eleven, and ‘gonia,’ meaning angle. In geometry, polygons are named based on the number of sides they have. For example, a triangle has three sides, a quadrilateral has four, and so on. […]
How to convert 13/4 to a mixed number?
To convert the improper fraction 13/4 into a mixed number, follow these steps: Divide the numerator (13) by the denominator (4). The result of the division gives you the whole number part. In this case, 13 divided by 4 is 3. Next, find the remainder of this division. The remainder is what is left after […]
In how many ways can a committee of 4 be chosen from a group of 8 people?
To determine how many ways we can choose a committee of 4 from a group of 8 people, we can use the concept of combinations. Combinations are used when the order of selection does not matter. The formula for combinations is given by: C(n, k) = n! / (k! * (n – k)!) Where: n […]
How far does a car travel in 1 second at 60 mph?
To determine how far a car travels in 1 second at a speed of 60 miles per hour (mph), we start by converting the speed into a distance covered in seconds. There are 3600 seconds in an hour, since 1 hour = 60 minutes and each minute = 60 seconds. Therefore, at 60 mph, a […]
What is the factorial of 9?
The factorial of 9, denoted as 9!, is the product of all positive integers from 1 to 9. To calculate it, you would multiply 9 by every whole number less than it down to 1. Here’s the breakdown: 9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 […]
What is 6 divided by 1/4?
To find out what 6 divided by 1/4 is, we can change the division of a fraction into a multiplication problem. Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/4 is 4/1, which is simply 4. So, we can rewrite the problem as: 6 ÷ (1/4) = 6 […]
How many miles per hour can the fastest human run?
The fastest human, Usain Bolt, recorded a top speed of approximately 27.8 miles per hour (44.72 kilometers per hour) during the 100 meters race at the 2009 World Championships in Berlin. This incredible speed was achieved over a short distance, reaching his peak just a few strides into the race. Factors like biomechanics, training, and […]
The image of the point (1, 2) after a rotation of 180° about the origin is
To find the image of the point (1, 2) after a rotation of 180 degrees around the origin, we can use the concept of coordinate transformation. When a point (x, y) is rotated 180° about the origin, its coordinates change to (-x, -y). This means that we simply change the signs of both coordinates. Starting […]
How to Find the X and Y Intercepts of a Rational Function
To find the x and y intercepts of a rational function, follow these steps: Finding the Y-Intercept The y-intercept occurs where the graph of the function crosses the y-axis. This happens when the value of x is 0. To find the y-intercept, substitute x = 0 into the function and solve for y. For example, […]