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Here's the visual proof of this.....

Draw a circle centered at the origin with a radius of 29  with the specified triangles inscribed in the bottom half of this circle

Triangle ECD  is isosceles with sides = 29, a base of 42  and a height, GC = 20

Triangle  BCA  is iscosceles with sides = 29, a base of 40  and a height,  FC = 21

So....area of ECD = [42 * 20]/2  =  840/2 = 420 cm^2

And BCA has an area of [ 40 * 21] / 2  = 840/2  =  420 cm^2

Thus   area of ECD  = area of BCA   ....!!!!

100% older means twice as old

20%  older means 6/5 as old

Let  Rebecca's current age  = x      so....Bill's = 2x

In 8 years we have........his age =  6/5 her age 

2x + 8 =  (6/5) [ x + 8]   simplify

2x + 8 = (6/5)x + 48/5

2x + 8 = (6/5)x + 48/5      subtract 8, (6/5)x from both sides

2x - (6/5)x  = 48/5 - 8        

(4/5)x  = 8/5   multiply through by 5

4x  = 8      divide both sides by 4

x  = 2       this is Rebecca's current age.......so Bill = 2x  =4

And...in 8 years, Rebecca will be 10 and Bill will be 12    .....and   12 is 6/5 of 10  →  20% more than 10

Rebecca's age = x    Bill's age = 2x     2x + 8 = 1.2(x+8)

.8x = 1.6

x = 1.6/.8=2    Bill is 4      Rebecca is 2

i dont like math but it is usitle not this hard

Step 1)

Find the value for 2x.

2x= 2*8920 = 17840

Step 2)

Find the value of 3902 x 17840.

3902*17840 = 69611680

Your final answer is : 69,611,680

Because you need to know about life!

They have exactly the same area......believe it, or not.....!!!!!

Using Heron's formula to prove this, we have, for the 29,29,40 triangle

sqrt [49(20)(20)(9) ] =  about 420 cm^2

And for the 29,29, 42 triangle, we have

sqrt [ (50(21)(21)(8) ]  =  420 cm^2

Here is the explanation for the derivation of Heron's Formula along with a calculator to verify the above results :

http://www.mathsisfun.com/geometry/herons-formula.html

.....but the HEIGHT changes with the bigger BASE resulting in BOTH triangles having the same area. 

They are both the same.   420 cm^2

2x=21002

x=10501

These are isosceles triangles. Area=1/2 X base X height

So, one with base 42 would have a larger area.

The sequence increases by adding the NEXT PRIME NUMBER to each term:

1,3,6,11,18,29,42,59,78, 101, 130, 161, 198...........etc. In other words:

  1, 2, 3, 4, 5, 6, 7, 8, 9, 10..........etc.

  2, 3, 5, 7, 11, 13, 17, 19, 23, 29..Prime numbers......etc.

-------------------------------------------------------------------

1, 3, 6, 11, 18, 29, 42, 59, 78, 101, 130, 161, 198..........

I think this is supposed to be :

5.91 x 10^9   =

five billiion, nine hundred ten million

13.6

OR
 

\(13\frac{3}{5}\)

5.91*109 = 644.19

IDK, but I am unsure if the answer is there. Let me ask CPhill for help.

Thanks CPhill!

I was unsure about that.

Not quite CP   ....  6, 11, 18 ???     11, 18, 29 ???  

(8 x 12)^3 = 884736 cubic 1/8ths

What are they?

can u aweser my questions

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