area = width times height
x = height
x-12 = width
x (x-12) = x^2 - 12X = 400
x^2 - 12X - 400 = 0
solve for x using quadratic formula
X = (12 + SQRT(144 + 1600)) divided by 2
x = 26.88 = height
width = x -12 = 14.88
Two.
2
H = W + 20; H x W = 640 ie W x (W + 20) = 640 ie W^2 + 20W - 640 = 0 This does not have a solution in integers, a close approximation is 17.2 x 37.2
A centroid is a location. A location cannot be positive nor negative! One or both coordinates can be negative. Or more coordinates in higher dimensions.
To find the volume of a rectangular solid (just like your box), you multiply the dimensions of Length, Width and Height. For your question: Volume = Length * Width * Height Volume = (9 cm) * (6 cm) * (3 cm) Volume = 162 cm3 To take this to a slightly higher level, you can give your answer in other units, recalling that 1 mL = 1 cm3, and you get the Volume = 162 mL
Let the width of the storm window be ( w ) inches. Since the window is 6 inches higher than it is wide, the height can be expressed as ( w + 6 ) inches. The area of the window can be calculated using the equation ( w(w + 6) = 315 ). This equation can be used to find the dimensions of the window.
Potential energy increases with height. The higher an object is lifted, the more potential energy it has due to its higher position in the gravitational field. The equation for gravitational potential energy is P.E. = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.
The existence of higher dimensions in the universe is a topic of debate among scientists. Some theories, such as string theory, suggest the possibility of extra dimensions beyond the three spatial dimensions we experience. However, these higher dimensions have not been directly observed or proven, so their existence remains speculative.
Dimensions can be understood in various contexts, including physical, mathematical, and abstract. In physics, dimensions typically refer to the measurable extents of space and time, such as the three spatial dimensions (length, width, height) and the fourth dimension of time. In mathematics, dimensions can extend into higher realms, such as fractals or multidimensional spaces. Additionally, abstract dimensions can refer to concepts in psychology or philosophy, indicating different aspects of human experience or understanding.
The zeroth dimension is a theoretical concept representing a single point in space, with no length, width, or height. It has no physical existence but is used as a starting point to define higher dimensions in mathematics and physics.
The relationship between height and potential energy is directly proportional when mass is held constant. As an object is raised to a higher height, its potential energy increases. This relationship is given by the equation: potential energy = mass x gravity x height.
A higher dimension is exactly what it sounds like: a dimension that is different (higher) from length, width, and depth. Our world is in three dimensions, and a higher dimensional universe would have four or mroe dimensions.
Yes, the height of a ball's bounce is affected by the height from which it is dropped. The higher the drop height, the higher the bounce height due to the conservation of mechanical energy. When the ball is dropped from a greater height, it gains more potential energy, which is converted to kinetic energy during the bounce resulting in a higher bounce height.
The cast of Over the River and Through the Higher Dimensions - 2009 includes: Dillon Markey as himself
Cubism
The measure or amount of energy in a wave is typically described by its amplitude, which represents the height or intensity of the wave. Higher amplitudes correspond to greater energy levels in a wave.