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its ok guest i understand

Can you help with this problem?  Convert 1/5 to base 2.

explanation and detail?

The formula for the value of each interior angle of a regular polygon is  (n - 2)(180^o) / n

Each interior angle = 180^o - the exterior angle  and  each exterior anlge = 180^o - the interior angle.

      "each interor angle is 12 times the measuure of each interior angle"

--->     (n - 2)(180^o) / n  =  12 · ( 180^o -  (n - 2)(180^o) / n )

--->     (n - 2)(180^o) / n  =   2160^o -  12 · (n - 2)(180^o) / n )               [distribute the 12]

--->     (n - 2)(180^o) / n  +  12 · (n - 2)(180^o) / n )  =  2160^o              [add 12 · (n - 2)(180^o) / n ) to both side]

--->                                    13 · (n - 2)(180^o) / n )  =  2160^o              [simplify]

--->                                            13 · (n - 2)(180^o)  =  2160^o · n        [multiply both sides by n]

--->                                             2340 · n - 4680^o  =  2160^o · n        [multiply out the left side]

--->                                                          180^o · n  =  4680^o

--->                                                                     n  =  26 sides

Oh sorry find the coordinates of the initial point, A.

I'm very happy for Vector AB  !  

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Since angle(BCD) = 103^o, arc(BAD) = 2 x 103^o = 206^o.

Since angle(PAD) is formed by a tangent and a chord, arc(AD) = 2 x 39^o = 78^o.

Therefore, arc(BA) = 206^o - 78^o = 128^o.

Angle(ADB) =  ½ x arc( BA) = ½ x 128^o = 64^o.

Since we're dividing by 5, we need only to look at the last digit.

The last digit for each odd power of 19 is 9  -- when divided by 5, gives a remainder of 4.

The last digit for each even power of 19 is 1 -- when divided by 5, gives a remainder of 1.

To find the maximum of  f(x)  =  sin(x) + cos(x)

find the first derivative: f^-1(x)  =  cos(x) - sin(x)

and set this expression equal to zero:     cos(x) - sin(x)  =  0

                                                                             cos(x)  =  sin(x)

                                                                                     1  =  sin(x) / cos(x)

                                                                                     1  =  tan(x)

But, tan(x)  =  1  at  45^o.

sin(45^o) + cos(45^o)  =  sqrt(2)/2  +  sqrt(2)/2  =  sqrt(2)

So have you answered the question?

Can you show what you have done or give the number answer.  (one you have found by yourself)

I am just wondering if you actually learned  anything from my answer.

The formula to find the number of degrees in each vertex angle of a regular polygon:

     degrees  =  (n - 2)(180)/n

There are 360^o around each point.

Each vertex angle of a square has 90^o.

Each vertex angle of a regular pentagon has 108^o.                   [ (5-2)(180)/5  =  108 ]

There are  360^o - 90^o - 108^o  =  162^o  remaining.

Using the formula:  (n - 2)(180)/n  =  162

                                  (n - 2)(180)  =  162n

                                   180n - 360  =  162n

                                             -360  =  -18n

                                                20  =  n

It's a 20-sided regular polygon.

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yee boi
social distancing

Conservation of momentum

.5(1.5) + .3(0) = (.5+ .3) v_f

v_{f =} .9375 m/s

A time = B time

1/a + 1/a + 1/c = 1/3        1/c = 1/12

2/a + 1/12 = 1/3

2/a = 1/3 - 1/12

2/a = 4/12 - 1/2

2/a = 3/12

1/a = 3/24

a = 24/3 = 8 hr

I got 20 the first time too but it is incorrect and I'm not sure why. Since He can mess up every time would the answer just be 2007/9 = 223?

yes that was correct! thank you

there was no formula but I actually ended up finding the answer and the guest below was as well correct.thank you for your help!

Very good, EP.  You forgot to give credit to Archimedes, though.