which two ratios represent quantities that are proportional 5/7 and 7/14, 9/10 and 10/9, 56/64 and 36/48, or 21/28 and 12/16

In comparing two quantities of the same kind, the fraction, which expresses by how many times the first quantity is greater or smaller than the second quantity is called the ‘ratio’ between the first quantity and the second quantity. The mathematical symbol of ratio is ‘:‘ It is written as say, 1:4 and read as 1 “is to” 4. The first of the two quantities forming a ratio is called the antecedent and the second is called the consequent of the ratio. The two together are called the terms of the ratio. Points to Note: 1. Since the q…

When the values of two ratios are equal, they are said to be in ‘proportion’ and one is called proportional to the other.

Four quantities are said to be in proportion or are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth.

1. If and , find i) and ii) Solution: i. ii. 2. If , find $ latex A : B : C $ Solution: 3. Find the fourth proportional to . Solution: Let the fourth proportion be ‘‘. Here, Hence, . the fourth proportion is . 4. In a continued proportion of four quantities, the first and the second proportional are . Find the fourth quantity. Solution: The four quantities are in continued proportion. Now, , 5. The ratio of daily wages of two workers is and one gets daily more than the other. What are their daily wages? Solution: Let one worker get and the oth…

Find the third proportional of and .

The ratio of two numbers is and their L.C.M. is . Find the numbers and their H.C.F.

A lantern factory received an order to supply pieces of lantern every day. The ratio of number of workers and the number of lanterns they produce everyday is . How many workers should be employed t...

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column