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His profit is 310-275=35 rs.

Profit is given by Selling price- Cost price=310 - 275=35.

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Number of days in four years=365×4=1460Total number of rainy days in 4 years=483∴Number of clear days in these 4 years=1460-483=977 days

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Given Area = 300 Sq.m

Length = 50m.

We know that Area of rectangle = Length * Breadth

Then Breadth = Area/Length = 300/50 = 6m.

Therefore the breath (or) width of the garden = 6m.

Area = Length * Width300 = 50 * Width300/50 = WidthWidth = 300/50Width = 6mWidth of the rectangle = 6m

Given area =300sq.mlength=50mTo find area of rectangle = the length × breadth breadth=?area=l×b 300=50×??= 300/50?=6m Therefore,width =6m

the area of rectangle = l ×b = 300×50 = 1500

We know, General term of the expansion (X - Y)ⁿ is T_{r+1} = nCr.X^{n-r}(-Y)^r use this here,

here , X = 9x Y = 1/3√x n = 18

T_{r+1} = 18Cr.(9x)^{18-r}.(1/3√x)^rfor 13th term , we have to use r = 12

now, T_{12+1} = 18C12.(9x)^{18-12}(1/3√x)^12

= {18!/12!×6!} (9x)^6(1/3√x)^12

= { 18 × 17 × 16 × 15 × 14 × 13/6×5×4×3×2}(9)^6(1/3)^12 { x^6 × 1/√x^12}

= { 17 × 4 × 3 × 7 × 13} (9^6/9^6){x^6 × 1/x^6}

= 17 × 12 × 91

= 18564

Hence, 13th term = 18564

शेषफल प्रमेय ke anusar

x - a se p(x) = x³ - ax² + 6x - a ko bhaag dene par

p(a) sheshfal ayega

p(a) = a³ - a³ + 6a - a = 5a

thus the B matrix is inverse

p + 4 = 28

Subtract 4 on both sides

p + 4 - 4 = 28 - 4

p = 24

4/8.. 3/8..2/8..1/8..0/8..-1/8..-2/8

x= 2तब12-4y^2=1112-11= 4y^24y^2= 1y^2 =1/4y= 1/2

a similar kind of question is solved above. u can approach like that

a) 3:5

b) 13:17

c) 49:36

d) 1000:537

e) 91:92

f) 1:49

g) 15:1

h) 42:13

In mathematical terms,a set is countable either if it s finite, or it is infinite and you can find a one-to-one correspondence between the elements of the set and the set of natural numbers. Notice, the infinite case is the same as giving the elements of the set a waiting number in an infinite line .

And here is how you can order rational numbers (fractions in other words) into such a "waiting line." It's just for positive fractions, but after you have these ordered, you could just slip each negative fraction after the corresponding positive one in the line, and place the zero leading the crowd. I like this proof because it is so simple and intuitive, yet convincing.

The numbers in red/blue table cells are not part of the proof but just show you how the fractions are formed. You start at 1/1 which is 1, and follow the arrows. You will encounter equivalent fractions, which are skipped.

If you think about it, all possible fractions will be in the list. For example, 145/8793 will be in the table at the intersection of the 145th row and 8793rd column, and will eventually get listed in the "waiting line."

June has 30 days 28 rainy days so 2 are non rainy days so percentage of non rainy days 2/30 * 100 = 200/30 = 20/3 = 6.67%

3+4 + is additon operation as we have whole number set which is closed under additon so of course element resultant also belongs to whole number set so we 3+4 = 7 which is whole number

Speed of car in 1.8min traveling =1.2/1.8 = 0.67km per min.

speed required if it travels distance in 1.5 min =1.2/1.5 = 0.8km per min.

now how faster it should travel to do distance in 1.5 minutes = speed in 1.5min traveling -speed in 1.8min traveling = 0.2km per minute

It should travel 0.2km per minute faster

factorial of 9=1×2×3×4×5×6×7×8×9=362880

15pq+15+9q+25p= 15pq+9q+25p+15=3q(5p+3)+5(5p+3)=(3q+5)(5p+3)

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(I) x=70 degrees (II) It is a concave quadrilateral

2 number is the correct answer

HCF= 27x^4y^2= 3*3*3*x*x*x*x*y*y3xy^3= 3*x*y^2*y= 3xy^2

highest common factor = 3xy*y

Ans :- Fiber is an essential nutrient of a healthy diet. It is not digested by the human body. It is important because of the following reasons-

Fibers create weight in the food, due to which stool and harmful components pass easily through the digestive tract. Thus, it keeps the colon ( part of large intestine) is because it creates a feeling of fullness in the human body. Due to this, a person tends to eat less.Soluble fibers ( dissolve in water easily) like oats, apples, and citrus fruits reduce cholesterol and glucose levels in the body.Fibers also decrease the risk of heart disease and type two diabetes.

In ∆ABC ABC = ACBwe have ABC = 180° - ABD ( linear pair)ACB = 180° - ACEgiven ABC = ACB180° - ABD = 180° - ACEso ABD = ACE

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