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How many faces does a rectangular prism have?

Each face on the prism has a partner; that is, each face has another one opposite it that is equal in shape. Because of its regular shape, finding the volume of a rectangular prism is relatively easy. The formula is the length times the base times the height. Therefore, if the rectangular prism is 4 inches long by 2 inches wide and 3 inches high, the volume of the prism is 24 inches cubed.

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What is a horizontal component?

A force that has both vertical and horizontal components is displayed mathematically by a slanted line, known as a vector, on a graph. The length of the vector is referred to as its magnitude. The horizontal and vertical components of the vector are found by drawing a right triangle, using the endpoints of the vector as two of the triangle's vertices.\nThe third vertex is added wherever necessary to form a right triangle with the vector as the hypotenuse. The finished triangle has one side that is parallel to the horizontal axis. The length of this side represents the horizontal component..

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What are some principles of Common Core mathematics?

The Common Core emphasis on focus supports a narrow lesson plan that students can integrate with other subjects and knowledge. Coherence allows for seamless transitions between focused material to provide a logical flow to new subjects.\nThe Common Core principles also encourage teachers to design in-class practice and outside homework in a way that connects the overall lesson plan with individual practice work. Such a connection allows for more integrated lesson plans and cohesion throughout the year, according to the Common Core principles.\nEmphasizing higher levels of conceptual understand..

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What are the properties of a rhombus?

The formation of right angles at the intersection of the diagonals means that the diagonals are perpendicular. Some other properties pertaining to a rhombus are its perimeter and area formulas. The perimeter formula is 4 x the side length, and the area formula is (1/2) x C x D, where D and C are the diagonal lengths. The diagonals are not equal to each other.A rhombus is a quadrilateral in which opposite sides are parallel. A square is a special case of a rhombus in which the angles are all equal to 90 degrees.

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What is the acceleration of a bullet?

If a bullet leaves the muzzle of a rifle at 600 meters per second, and the barrel is .9 meters long, the acceleration within the gun barrel is 600^2 divided by 1.8, or 2.0 x 10^5 meters per second^2. Bullets are propelled by the rapid expansion of gas within the gun barrel. When the bullet leaves the barrel, it travels at its maximum velocity and no further acceleration occurs.

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What are the factors of 34?

Negative numbers can also be factors because when two negative numbers are multiplied, a positive number is the result.\nTo find the factors of a number, first list 1 and the number. Then move to 2. If it can be multiplied evenly by another number to obtain the listed number, then it is a factor. Common factors are found by looking at the factors of two different numbers.

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How do you find the equation of the tangent line to the curve?

Find the derivative of the curve equation Using techniques of differentiation, find the derivative of the equation for the curve f(x), which is notated as f'(x). The technique needed to differentiate depends on the equation, although common methods include using the chain rule, the product rule and the quotient rule. Find the slope of the tangent lineAfter finding the derivative f'(x), plug in a value for x for the point on the curve for which you are calculating the tangent line. The value of f'(x) at that point is the slope of the tangent line. Find the equation of the tangent..

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How do you solve for the integral of sec(x)?

Multiply sec(x) by a value equal to oneIn the integral, multiply sec(x) by (sec(x) + tan(x))/(sec(x) + tan(x)). Since the value is the same in both the numerator and denominator, it is equivalent to multiplying by one, which leaves the original value unchanged. Set the value for uSet the value of u as equal to sec(x) + tan(x). Find the value of duBased on the standard differential properties of trigonometric equations, du, the derivative of u, is set to (sec(x) * tan(x) + sec2(x)) dx.Substitute in for u and duSubstitute u and du into the given equation to get du/u. Substitute into sec(x) by (s..

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How many sides does a heptagon have?

In a regular heptagon, one in which all sides and angles are equal to each other, each interior angle is equal to approximately 128.57 degrees, with the sum of all interior angles being equal to 900 degrees. The area of a regular heptagon can be found by multiplying 3.63 by the length of one side squared. Though heptagonal features are rarely found in nature and are uncommon in man-made objects, the United Kingdom famously uses a heptagonal coin as its 50 pence piece.

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How many zeroes are in a googol?

The term googol goes back to 1938 and comes from Milton Sirotta, a 9-year-old kid. Sirotta is the nephew of Edward Kasner, an American mathematician. This number first made an appearance in the book "Mathematics and the Imagination" in 1940. There are other terms to describe a googol, and these include the long-scale term ten thousand sexdecillion, the short-scale term ten duotrigintillion and the Peletier long-scale term ten sexdecilliard.

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