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It seems that the sum is always square, but what is even more remarkable is that the sum of the first n cubes, 13+23+...+ n3= ( n ( n +1)/2)2,

thanks brother

(20)^3 = n(5)^320*20*20 = n(5*5*5)n = 4*4*4n = 64

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In a 3 x 3 x 3 cube there are:1 blocks with 0 sides painted.6 blocks with 1 side painted.12 blocks with 2 sides painted.8 blocks with 3 sides painted.

Since it a 3 inch cube, it will have 12 blocks painted..

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No of english books : no of maths books

= 81:90

Reducing it, we get

= 9:10

TriangleMidpoint Theorem.Theorem: The line segment connecting themidpointsof two sides of a triangle is parallel to the third side and is congruent to one half of the third side

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

In the figure, the followinginequalitieshold.

a+b>c

a+c>b

b+c>a

Gaurav Bank balance is ₹2000Toatal money he deposited is(300+750+450+700+1250) Gaurav Bank balance at end of the month is ➡300+450+750+700+1250+2000 ➡₹5450

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please give me the solution

please prove the theorem

Let total number of marbles are n

Then,Number of red marbles = 2n/5Number of blue marbles = n/3Number of green marbles = 4

So, 2n/5 + n/3 + 4 = nn - 2n/5 - n/3 = 4(15n - 6n - 5n) = 604n = 60n = 60/4 = 15

Total number of marbles in Jar = 15

Number of red marbles = 2*15/5 = 6

Number of blue marbles = 15/3 = 5

Let x be rohans marbles7+5x=375x=37-7x=30/5x=6

rohan has 6 marbles

Initially Cassie had 8 red marbles and 12 yellow marbles.

After doubling, Cassie will have

Red marbles = 2 × 8 = 16

Yellow marbles = 2 × 12 = 24

Total marbles Cassie have now = Number of red marbles + Number of yellow marbles

= 16 + 24

= 40

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As per question 5x+7=37x=37-7/5=30/5=6 ans thanks

is 36

is 36

ratio of their marbles = 48/144 = 1/3 = 1:3

L.H.S.=√1-sinA/1+sinA

=√(1-sinA)(1-sinA)/(1+sinA)(1-sinA)

=√(1-sinA)^2/1-sin^2 A

=√(1- sinA)^2/cos^2 A

=(1- sinA)/cosA

= 1/cos A - sinA/cosA

=secA - tanA

LHS = RHS

Hence proved

Let number of trees in each be xThen number of rows of plants also equal to x

As per given conditionx^2 = 1521x = 39

Therefore,Number of rows = 39

Number of trees which were planted by everyone individually

70 - 25 = 45

Number of trees planted by the girls:

90 - 25 = 65

And now the plants they planted together:

= 90 + 70 - 25

= 135

135 is the final answer for this question.

for 1 day 273 treesfor leap year leap year having 366 days so 366× 273 = 99918 trees for leap year 99918 trees

Differentiate wrt X2ax+2hy+2hxdy/dx+2bydy/dx+2g+2fdy/dx=0he CEdy/dx(2hx+2by+2f)=-2ax-2gdy/dx=-(ax+g)/(hx+by+f)

ANS : AP :a , b ............ ,c

First term (a₁)= a

Common Difference (d)= (b - a)

Last term ie, nth term (aₙ) = c

Apply the Formula:aₙ= a₁+ (n-1)*d

So :c=a+ (n-1) *[b-a]

c - a = (n-1) *[b-a]

(n-1)= (c-a) / [b-a]

=> n ={(c-a) / [b-a] } +1 ={ (c-a) + (b-a) } / [b-a] = {b+c - 2a} / [b-a]

Therefore :n ={b+c - 2a} / [b-a]-------(1)

To determine Sum of n term (Sn) =>Apply :Sₙ = [n / 2 ] * {a₁+aₙ}

Sn = [n / 2 ] * {a+c} -----------(2)

From (1) :n ={b+c - 2a} / [b-a], Substitute in(2) .

Sₙ = [ {n}/ 2 ] * {a+c}

Sₙ = [{{b+c - 2a} / [b-a]}* (1 /2) ] * {a+c}

Sₙ=[(a+c) *(b+c - 2a) ] / 2 *(b-a)

Hence Sum of n terms : Sₙ =[(a+c) *(b+c - 2a) ] / 2 *(b-a)

(HENCE PROVED)

IF YOU ARE SATISFIED DO GIVE THUMBS UP.

3. 1 is a factor of every number.4. No, the factor of a number cannot be greater than the number.

Can't read it is blued

Can't read it is blued

The value of m will be 2.

In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.

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In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.

suppose that,Kiran receive (x)=2xRahul receive =3xnow, Total marbles is=252x+3x=255x=25x=25/5x=5so, Kiran receive=2*5=10Rahul receive =3*5=15

how you said answer

Let number of blue marbles = nThen number of green marbles= 2n + 5

Probability of drawing blue marble = n/(3n + 5)

As per given conditionn/(3n + 5) = 2/77n = 2(3n + 5)7n - 6n = 10n = 10

Therefore, Number of blue marbles = 10Number of green marbles = 2n + 5 = 2*10 + 5 = 25

let number of blue marbles = x

So, number of green marbles = 2x+5

Therefore, Total number of outcomes = Total number of marbles = n(green)+n(blue) = (2x+5)+(x) = 3x+5

Now, Probability of drawing a blue marble = x / 3x+5......a

given that Probability of drawing a blue marble = 2 / 7

Substituting the value in eq a, we get

(2 / 7) = (x / 3x+5)cross multiplying, 2(3x+5) = 7(x)6x + 10 = 7x7x - 6x = 10x = 10

So, number of blue marbles = x = 10 number of green marbles = 2x+5 =2(10)+5 = 25 total number of marbles = 3x+5 = 3(10)+5 = 35

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688 answer to first one

769 is 9 the one dhdfidf8

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