All Answers 358087 Answers

Hmm....can you clarify what is 6 m long?

Does the length of a side of the base = 6 m ...or is the 6 m the length of the apothem?

Or does the 6 m stretch from corner to corner on the hexagon?

Or does the 6 m stretch from "wall" to "wall" on the hexagon?

If the length of one side of the base is 6m, then you have the correct answer.

Note DSR

tan (A + B)  =  [ tan A   + tan B]  /  [ 1 - tanA tanB]

So  if A  = 20°   and B  = 10°  we have

tan ( 20° + 10°)  =   tan (30°)    =  √3 / 3

8 / √6    multiply numerator/denominator by √6

[8*√6]  /   [  √6*√6 ]  =

[ 8 * √6 ] / 6  =

(4/3) * √6

True!

(-1 and +1 included) 

https://magoosh.com/gmat/2017/gmat-math-how-to-divide-by-a-square-root/

As an alternative answer, it is  the circumference of a circle  divided by its diameter

1 / 2   -  3 / 14       

7 / 14  -   3 / 14   =

4 / 14  =

2 / 7

3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019893809525720106548586

x+y+z+ø= 85

X=ø-4

y=x/8

z=x/9

       
\(x+y+z+\phi = 85\\ x=\phi-4\\ y=x/8=\frac{\phi-4}{8} \\ z=x/9=\frac{\phi-4}{9} \\~\\ so\\ \phi-4+\frac{\phi-4}{8} +\frac{\phi-4}{9} =85\\ 72\phi-4*72+72*\frac{\phi-4}{8} +72*\frac{\phi-4}{9} =72*85\\ 72\phi+9(\phi-4)+8(\phi-4) =72*85+4*72\\ 72\phi+17(\phi-4) =72*89\\ 72\phi+17\phi-68 =72*89\\ 89\phi =72*89+68\\ 89\phi =6476\\ \phi=\frac{6476}{89}\\ \text{Now just do the substitutions to get the other pronumerals}\\ \text{The sub the answers back in to check it is all correct.}\)

area of pentagon = 10 * area of third triangle

area of third triangle = (1/2) * base * height

area of third triangle = (1/2) * 3.5 * (3.5 / tan 36º)

area of third triangle = 6.125 / tan 36º

area of pentagon = 10 * 6.125 / tan 36º

area of pentagon = 61.25 / tan 36º

area of pentagon ≈ 84.303 square units

*edit*

as long as this is a regular pentagon! :)

My granddaughter says it is a skeleton :)

Answer is a glove.

I know its soo hard...

I took four hours trying to figure it out then i did and i was like OMG!! REALLY?!

In exponential terms, we have

e^2.7618  =   x   ≈  15.828

The answer is 5/6

16002

I am glad that you have satisfied yourself (with regards to this question) helper :)

hmmm

I'm not going to lie, I missed the riddles.

Welcome back riddler!