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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.
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.
How do you tell if the ratios are equivanlent?
The simplest way: Ratio a : b equals ratio c : d if (and only if) a*d = b*c
What are two different size squares that the ratio of their perimeters is the same as the ratio of their areas?
Assume square A with side a; square B with side b. Perimeter of A is 4a; area of A is a2. Perimeter of B is 4b; area of B is b2. Given the ratio of the perimeters equals the ratio of the areas, then 4a/4b = a2/b2; a/b = a2/b2 By cross-multiplication we get: ab2 = a2b Dividing both sides by ab we get: b = a This tells us that squares whose ratio of their perimeters equals the ratio of their areas have equal-length sides. (Side a of Square A = side b of Square B.) This appears to show, if not prove, that there are not two different-size squares meeting the condition.
What is the tangent ratio for b?
2/1
the ratio of A to B is 2:3 and the ratio of B to C is 4:5. what is the ratio of A to C?
Oh, what a happy little problem we have here! To find the ratio of A to C, we can simply multiply the two ratios together. So, 2:3 times 4:5 gives us 8:15. That's the beautiful ratio of A to C, just like painting a lovely landscape with different colors blending harmoniously together.
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 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.
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.
How do you write ratio comparing A40229000 in 2010 and B88458000 a projected number in 2050?
Find Ratio A to B. Find Ratio B to A. Complete sentence: A is percent of B.
What is silvery proportion in math?
If A > B, A and B are in the silver ratio if (2*A + B)/A = A/B. It is an irrational equal to one plus the square root of 2 ( ~2.4142135623). It is similar to the golden ratio. It is the limiting ratio of consecutive pell numbers.
What is the ratio of 2 to b?
It is written 2/b or 2:b
How do you do ratios?
you write it like a fraction. modelo: 4/5
The incomes of A B and C are in the ratio 7.9.12 and their expenses are in the ratio 8.9.15 If A saves 1by4 -fraction- of his income how would you find the ratio of their savings?
the ratio of the savings of A B and C would be 56, 99, 69
What are Ratios that have the same value and simplified ratio?
Two ratios, a/b and c/d have the same value is a*d = b*c. A ratio, a/b, is said to be simplified if a and b are co-prime.
How do you tell if the ratios are equivanlent?
The simplest way: Ratio a : b equals ratio c : d if (and only if) a*d = b*c
Classification of Ratio Analysis?
1. Ratios for management a. Operating ratio b. Debtors turnover ration c. Stock turnover ratio d. Solvency ratio e. Return on capital 2. Ratios for creditors a. Current ratio b. Solvency ratio c. Fixed asset ratio d. Creditors turnover ratio 3. Ratios for share holders a. Yield ratio b. Proprietary ratio c. Dividend rate d. Capital gearing e. Return on capital fund.
