All Answers 358115 Answers

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Assuming that any digit can be used in any place and repeats are allowed....

Combos  0000 - 9999 could be used  = 10,000 different combinations

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35√2 ft = about 49 ft.

Let N be the number....then....

N + 34 = 78     subtract 34 from both sides

N = 44

Let's look at this one, again

Call the length of the longer diagonal 3L, and the shorter diagonal, L

So

337.5  = (L)(3L) / 2

337.5 = (3/2)L^2   multiply both sides by 2/3

225 = L^2     take the square root of both sides

225 = L  = 15cm and that's the shorter diagonal

So...the longer one is 3(15)  = 45cm

sin^-1(cos(2pi/3)

cos 2pi/3  = -1/2   ....so...

sin-1(-1/2) = -pi/6

Thanks Chris and Bertie  

When you made this post there was a couple of posts displayed.

Fractions was one of those!

The thread can also be found in the sticky topics on the right of your page.

3, 4 and 5 imply that 12 equal parts comprise  the 84cm

So, 3 i of those 12 parts = 

3/12 x 84  =

1/4 x 84  =

21 cm

For the second question, the fruit part is 3/4 of  the jam part....so...if  1 kg of fruit is used, then 3/4 kg of sugar is used.

Well....we could either convert the meters to cm, or vise-versa....it depends upon what you want.....there is no "standard," here....

Since 9 divides 36, we dont need to worry about it

36 = 3^2 x 2^2

60 = 3 x 5 x 2^2

Choosing each different factor once along with the highest power on that factor, we have

2^2  x 3^2 x 5  =

4 x 9 x 5 =

36 x 5  =

180     ...  and that's the LCM of all three numbers

The sum of the first n positive integers is given by :

n(n+ 1) / 2

So

100(101)/2  = 5050

Using a sum-to-product identity, we have

sin x + sin y = 2sin[(x + y)/2] cos[(x - y)/2]

And

cos x + cos y =  2cos[(x + y)/2]cos[(x - y)/2]

So

[sin x + sin y] / [cos x + cos y]  = 

[2sin[(x + y)/2] cos[(x - y)/2] ] /   [2cos[(x + y)/2]cos[(x - y)/2] ] =

sin [(x + y)/2] / cos[ (x + y)/2 ]    and since (x + y)/2  is just an angle, θ, then

sinθ / cosθ  = tanθ   =  tan[(x + y}/2]

The other part can be proved similarly by noting that

sinx - sin y  = 2cos[(x + y)/2] sin[(x - y)/ 2]

337.5=d1xd2/2

lets make it easy. the formula for a rhombus is d1xd2/2

if one diagonal is 3x longer than the other, it will be 3x.

337.5=X*3x/2

multiply out the dividing 2

675=x*3x

divide by three and that is your answer for x

225=x 3x=675

n^2/4  so this is the answer. it was so easy though i took long time to do it 

Jam is made from 4 parts fruit to 3 parts sugar. How much sugar is needed to make jam from 1kg of fruit?

illuminate confirmed!

5 1/2 u butt

Do you mean that you yourself have many unanswered questions, or that there's a lot of unanswered questions on the site. Because the second one is just a teeny bit obvious!

It's spelled pi, not pie, and the value is 3.14. As i think you know, the value of pi extends for infinity, or at least it would if there is an infinity, and the numbers never repeat. But most things just want 3.14

The answer is 12.5% possibility that the mother's first three children will be girls.