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Lateral surface area  = pi * radius * slant height

50  = pi * 5 * slant height    divide both sides by 5 pi

50 / [5 pi] =  10/pi cm = slant height ≈ 3.183 cm

1.3

V_cone  =  pi * r^2 * h

314.16 = pi * (5)^2 * h

314.16 = 25pi * h       divide both sides by 25pi

[ 314.16 ] / [ 25 pi]  =  h ≈ 4 cm

sinθ=   y/ r = a / 1 = a

cosθ =  x / r

And

1 - sin^2 θ  =  1 - a^2  = cos^2 θ

So

cos θ  =  ± √ [ 1 - a^2 ]

And since  tanθ<0   = sinθ / cosθ = a / cosθ and a > 0.....this angle is in the second quadrant.....so the cosine is negative

So

cos θ  =   - √ [ 1 - a^2 ]

x-7=2x-31 

join like terms

x-2x=-31+7

-x=-24

-x in other words is -1x so we need to make it + so we will divide each side by -1 

-1x/-1=-24/-1

x=24

1+1=2

Well the value of e is 2.7182818284590452.

Therefore 2e= 2 (2.7182818284590452)

which equates to:

5.4365636569180905

19

There is a calculator on google btw

Try this, Jessica :  http://www.purplemath.com/modules/radicals.htm

Yes.

The greatest common factor of two numbers is the highest factor (biggest number) that can divide both numbers without leaving a remainder.

Therefore, by listing all the factors of 16 and 42 you'll see that:

16= 1, 2, 8, 16

42= 1, 2, 3, 6, 7, 14, 21, 42

So therefore, from the above listing you that the highest number that can divide both numbers without leaving a remainder is 2.

It cannot be 16, because as you can see 16 is not a factor of 42 and it cannot be greater that 16 because that factor must be able is divide a number without leaving a remainder (so anything greater than 16 gives a decimal). So the factor has to be less than 16.

Hope that helps.

What wall are you talking about?

480g / 30  = 16g per unit

Total units  = 30 + 31  = 61

61 x 16g   =  976g

What do you mean?

The ratio of nuts to dried fruit is 30: 31 and you know the snack contains 480g of nuts. Therefore you can create a proportion (an equation where 2 ratios are equivalent) as follows:

And then solve for the unknown p (which is the amount of fruits in grams), like:

30    = 31

480  = p

cross multiplication results in: 30p = 31 x 480

which equates to:    30p = 14880

solving for p gives: 30p / 30= 14880/ 30 (that is divide both sides by the multiplier of p, to simply get p by itself)

which equates to: p= 496

Therefore, there are 496g of dried fruit in that snack.

To get the total weight of the bar simply add the 480g of nuts and the 496g of fruits

giving you a total weight of: 480+496= 976g

16 = 2 x 2 x 2 x 2

42 = 2 x 3 x 7            As you can see, the GCF of these two is ' 2 '

12+78=90 

Therefore 12+564,635,638,678=564,635,638,690 

Happy now? 

\({(x^2)}^{3}\)=  x ^(2*3) = \({x}^{6}\)

\({x}^{2^3}\)= \({x}^{8}\)                                 So they are not equal in these forms

Math please.

First add 1 to 1 so they cancel, so 4b=-13 

Whatever you do to one side you have to do to the other, so add 1 to -13 so 4b=-12 

Now divide 4b by 4 to be left with b so b=-12 

But remeber whatever you do to one side you must do to the other, so divide -12 by 4 as well 

So after doing all that you end up with, b=-3 

But let's check just to make sure, 4*-3=-12    -12-1=-13 

So the answer is correct. 

31/30 x 480 =496 gm - the weight of the fruit in the snack.

496 + 480 =976 grams - total weight of snack.

I did not know that yet. Thank you!