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What is the definition of the golden ratio?

Given two quantities, when the ratio of the larger quantity to the smaller one is equal to the ratio of the sum of the quantities to the larger one, then the ratio is said to be the golden (or divine) ratio. Said another way, given two quantities (a and b), a is to b as a plus b is to a. Expressed symbolically: a : b :: a + b : a Expressed algebraically, it looks like this: a/b = (a + b)/a, where a > b. The golden ratio is approximately 1.6180339887.


How do you solve ratio questions where total is given with possible ratios?

To solve ratio questions where the total is given, first, express the ratio in terms of a common variable. For example, if the ratio is A:B and the total is T, you can write A = kx and B = ky, where k is a constant and x and y represent the parts of the ratio. Then, set up the equation ( k(x + y) = T ) and solve for k. Finally, use k to find the individual values of A and B by substituting back into the expressions for A and B.


Does ratio mean division?

Yes. If each of a and b is a number and b is not zero, the ratio of a to b, often written as a:b, = a/b.


What are the values of a and b given that y plus 4x equals 11 is the perpendicular bisector equation of the line joining a 2 to 6 b?

Their values work out as: a = -2 and b = 4


How do you convert ratio scale to linear scale?

To convert a ratio scale to a linear scale, you can apply a linear transformation, typically using the formula ( y = ax + b ), where ( x ) is the value on the ratio scale, ( a ) is the scaling factor, and ( b ) is the offset. This transformation retains the proportional relationships inherent in the ratio scale while adjusting the values to fit the desired linear scale. Ensure that the chosen ( a ) and ( b ) values reflect the specific requirements of the linear scale you want to achieve.

Related Questions

In the given ratio b and c are extreme values?

false


What is the definition of the golden ratio?

Given two quantities, when the ratio of the larger quantity to the smaller one is equal to the ratio of the sum of the quantities to the larger one, then the ratio is said to be the golden (or divine) ratio. Said another way, given two quantities (a and b), a is to b as a plus b is to a. Expressed symbolically: a : b :: a + b : a Expressed algebraically, it looks like this: a/b = (a + b)/a, where a > b. The golden ratio is approximately 1.6180339887.


How do you do ratios?

you write it like a fraction. modelo: 4/5


Does ratio mean division?

Yes. If each of a and b is a number and b is not zero, the ratio of a to b, often written as a:b, = a/b.


What are the uses of ratio's?

With probability ratios the value you get to describe the strength of the relationship when you compare (A given B) to (A given not B) is not the same as what you get when you compare (not A given B) to (not A given not B). This is, IMHO, a big problem. There is no such problem with odds ratios.


What are the uses of probability ratio?

With probability ratios the value you get to describe the strength of the relationship when you compare (A given B) to (A given not B) is not the same as what you get when you compare (not A given B) to (not A given not B). This is, IMHO, a big problem. There is no such problem with odds ratios.


What number is the golden ratio?

The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.


What are the values of a and b given that y plus 4x equals 11 is the perpendicular bisector equation of the line joining a 2 to 6 b?

Their values work out as: a = -2 and b = 4


Is a plus b divisible by c?

Sometimes. It depends on the values given to the variables.


What is the galden ratio?

Consider two values a and b. They are said to be in the golden ratio when b/a = (a + b)/b The mathematical term for this ratio is "tau" or "phi" and it equals 1.618. It can be calculated if we put a = 1, then b = (b+1)/b ie b2 = b + 1 or b2 - b - 1 = 0. Using the quadratic formula gives b = (1 + sqrt5)/2 ie (1 + 2.236)/2 = 3.236/2 = 1.618


What is the ratio of a to b?

wat is the ratio of a and b


How do you find mean for a histogram?

You need to add all the values shown on the histogram and then divide that sum by the number of values (samples). Example: There are 5 values: A, B, C, D, E. Mean value is: (A+B+C+D+E) / 5