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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 is the ratio of A girls to B boys in simplest form?

To determine the ratio of A girls to B boys in simplest form, divide both A and B by their greatest common divisor (GCD). The resulting values will give you the simplest ratio of girls to boys. For example, if A is 8 and B is 12, the GCD is 4, so the ratio simplifies to 2:3.


Which table shows a proportional relationship between a and b?

To determine if a table shows a proportional relationship between ( a ) and ( b ), you need to check if the ratio ( \frac{b}{a} ) remains constant for all pairs of values. If the ratio is the same across the entire table, then ( a ) and ( b ) are proportional. Additionally, if the values of ( b ) can be expressed as a constant multiple of ( a ), that also indicates a proportional relationship.

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 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.


What is the ratio of mass a to mass b?

To determine the ratio of mass a to mass b, you simply divide mass a by mass b. This can be expressed as a:b, which is equal to a/mass b. If you have the specific values for mass a and mass b, you can calculate the numerical ratio accordingly.


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 is the ratio of A girls to B boys in simplest form?

To determine the ratio of A girls to B boys in simplest form, divide both A and B by their greatest common divisor (GCD). The resulting values will give you the simplest ratio of girls to boys. For example, if A is 8 and B is 12, the GCD is 4, so the ratio simplifies to 2:3.


Which table shows a proportional relationship between a and b?

To determine if a table shows a proportional relationship between ( a ) and ( b ), you need to check if the ratio ( \frac{b}{a} ) remains constant for all pairs of values. If the ratio is the same across the entire table, then ( a ) and ( b ) are proportional. Additionally, if the values of ( b ) can be expressed as a constant multiple of ( a ), that also indicates a proportional relationship.


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