Math

Refine Search

What is the area of a triangle?

The area of a surface is the amount of material needed to "cover" it completely. Knowing the area of a backyard is needed for reseeding or sod installation. Knowing the area of one's roof is required to purchase the correct number of shingles. Painting a room and laying pavers also require area calculations. The formula for calculating the area of a triangle is given by A = 1/2• b•h, where "A" is the area, "b" is the base and "h" is the height. If a triangle has a base of 20 meters and a height of 12 meters, the area is given by 1/2 • 20 meters • 12 meters, which yields 120 squar..

Continue Reading

How do you construct an altitude with a compass?

It is a fairly easy process to find the altitude of a compass with a ruler. One simply has to use the ruler to draw a straight line from the specified point on the triangle. Using a compass, however, involves a few more steps.Draw the first circleA triangle has three vertices, usually designated by letters such as A, B and C. If the challenge is to find the altitude of C, use point A as the center point for the compass and the line segment from A to C as the radius to draw the first circle.Draw the second circleUsing the example from step one, draw the second circle with point B as the center ..

Continue Reading

What does "Invalid DIM" on a TI-83 mean?

If trying to make a scatter plot or attempting to do a regression, this error means that lists are turned on, but two lists do not have the same number of values. To fix the issue, hit the "Y=" button and complete the lists. This error can also show up when trying to input a list or matrix when the calculator expected a variable or number, or vice versa. To fix this, enter the correct input. This error can occur when using a TI-83, TI-84 Plus or TI-Nspire graphing calculator

Continue Reading

How do you add and subtract radicals?

For example, two times the radical of three can be added to five times the radical of three for a total of seven times the radical of three. Addition and subtraction are possible in this instance because both numbers contain the radical of three. Adding together a radical of three with a radical of 75 is not possible until the radical of 75 is simplified.\nTo simplify, factor out the radical into 25 times three. Split the radical and write it as the radical of 25 times the radical of three. Then, find the square root of 25, which is five, and write the new radical as five times the radical of ..

Continue Reading

What is the first octant?

In a Euclidean three-dimensional coordinate system, the first octant is generally located in the top-front-right quadrant and is the only octant where every variable is positive. The seventh octant, located in bottom-back-left quadrant, is a portion under the xyz-axis where all three variables are negative values. The other six octant divisions can have one or two positive variables.

Continue Reading

How do you find the difference between the greatest common factor and the least common multiple?

To find the GCF and LCM, using an example is appropriate. If the two numbers are 3000 and 2500, finding the prime factorizations is the first step. For 2500, the prime factorization is 2500/2 = 1250/2 = 625/5 = 125/5 = 25/5 = 5, so the numbers are 2 x 2 x 5 x 5 x 5 x 5.\nFor 3000, the prime factorization is 3000/2 = 1500/2 = 750/5 = 150/5 = 30/5 = 6/2 = 3, so the numbers are 2 x 2 x 5 x 5 x 5 x 2 x 3. The next step is to compare the numbers. Both numbers include 2, 2, 5, 5, and 5. For the GCF, multiple 2 x 2 x 5 x 5 x 5 to get 500, which is the GCF.\nFor the LCM, again line up the prime factor..

Continue Reading

What is the derivative of the square root of x?

The derivative of x to the power of n is n times x to the power of n minus one. This can be used for x to the power of one-half. One-half minus one is negative one-half, so the derivative is one-half times x to the power of negative one-half. X to the negative n equals one divided by x to the n, so the derivative is one-half times one divided by x to the power of one-half. Since x to the power of one-half is the square root of x, the final result is one-half times one divided by the square root of x.

Continue Reading

How are imaginary denominators rationalized?

The complex conjugate of an imaginary number a + b*i is a - b*i for any real numbers a and b. Multiplying an imaginary number by its complex conjugate produces a real number because, when all terms are multiplied out, there are two real terms (a² and b²) and two imaginary terms that cancel out (+a*b*i and -a*b*i). The term b² is positive because i² is equal to -1.\nAfter simplifying the numerator and denominator, check to see if both the real and imaginary terms in the numerator are divisible by the denominator. In such cases, the quantity can be simplified further.\nBoth the numerator and..

Continue Reading

What is the formula for calculating a right-angled triangle?

In this formula, c represents the longest side of a triangle, known as the hypotenuse. The a and b represent the two other sides. For right-angled triangles, the square of the hypotenuse is always equal to the sum of the squares of the other two sides. The square is calculated by multiplying the value of one side by itself. As long as the length of any two of the sides is known, the third can be calculated using the Pythagorean theorem.

Continue Reading

What are the different types of number systems?

The invention of number systems served three main purposes: to identify the total items in a group, to determine a sequence or series and to distinguish between various types of records or documentations. The Hindu-Arabic system, with its simple notations, gradually became the global norm for counting systems. It is further classified according to the base that is used. The binary system uses base 2, the octal system uses base 8, the decimal system uses base 10 and the hexadecimal system uses base 16.

Continue Reading
Showing 2411 to 2420 of 3956 (396 Pages)