devyy A triangular pyramid, also known as a tetrahedron, consists of four triangular faces. When a plane intersects this pyramid, the shape of the resulting cross-section depends on the position and angle at which the plane cuts through the pyramid. For a plane to slice through a triangular pyramid and produce a quadrilateral cross-section, it must … Read more
In triangle ABC, when we refer to it as a right triangle, we’re acknowledging that one of its angles is a right angle, which measures 90 degrees. By definition, a right triangle has one angle that is exactly 90 degrees, and the other two angles must be acute angles, meaning they are less than 90 … Read more
To solve the quadratic equation x² + 5x = 0, we can utilize the method of factoring. First, let’s factor the equation to find its roots. 1. Begin by rewriting the equation: x² + 5x = 0 2. Next, factor out the common term, which is x: x(x + 5) = 0 3. Now, set … Read more
To understand whether sin(30°) is equal to sin(150°), we can start by using the unit circle and understanding the properties of sine in different quadrants. The sine function is defined as the ratio of the opposite side to the hypotenuse in a right triangle. It can also be visualized on the unit circle, where the … Read more
An obtuse angle is defined as any angle that measures more than 90 degrees but less than 180 degrees. Visually, you can identify an obtuse angle by its broad appearance; it looks more open and ‘sprawled out’ compared to acute angles, which are sharp and narrow, and right angles, which form a perfect corner at … Read more
To determine the factors of the polynomial x² + 20, we will look for expressions that can multiply to give us this polynomial. Firstly, we notice that x² + 20 does not factor easily into linear factors with real coefficients because it doesn’t equal zero for any real values of x. However, it can be … Read more
When we talk about 4 to the second power, we are referring to the mathematical expression 42. This means that we multiply the number 4 by itself. To break it down: 42 = 4 x 4 Now, let’s calculate: 4 x 4 = 16 So, 4 to the second power equals 16. This is a … Read more
A linear pair of angles is defined as a pair of adjacent angles that are formed when two lines intersect. These angles are situated on the same side of the transversal and share a common vertex and side. In simpler terms, when two lines cross each other, they create two angles next to each other … Read more
To find the value of 5 divided by 500, you can express this mathematically as: 5 ÷ 500 When you perform the division, you’re essentially determining how many times 500 can fit into 5. This can also be represented as a fraction: 5/500 Next, we can simplify this fraction. Both the numerator (5) and the … Read more
To calculate the circumference of a circle using the diameter given, we start with the formula for circumference: C = 2πr Where C is the circumference and r is the radius of the circle. The radius is half of the diameter, so if the diameter is 28 inches, we first need to find the radius: … Read more