how long will the sides on a six foot decagon be. I know the angles are 144 degrees?
442228
the side of a decagon is exactly (sqrt(5)-1)/2 times the radius of the external circe.\nIf your circle has a diameter of 6 foot (that is, your 6 foot lenght is the distance between two opposite vertexes), then calculate (sqrt(5)-1)*3/2 and you get the side of the decagon in feet.\n\nIf your value of 6 foot is the distance between two opposite sides (from the middle point of a side to the middle point of another side), then you have a apotheme of 3 feet. \n\nNow, the radius is 2/(sqrt(5)-1) times the side of the decagon = 1/(sqrt(5)-1) the half-side of the decagon.\n\nApplying the Pythagorean theorem you have that the square of the apotheme is worth ((1/(sqrt5 - 1))^2 - 1^2) times the half-side, that is \n\n9 ft = ((1/(sqrt5 - 1))^2 - 1^2)*(X/2)    (X = lenght of the side)\n\nthat is \n\n(X/2) = (9-(1-(5+1-2sqrt5))/(5+1-2sqrt5))\n\nthat is \n\n(X/2) = (9 - (2sqrt5 - 5)/(6-2sqrt5))\n\nX = 2*(54 - 18sqrt5 - 2sqrt5 + 5)/(6-2sqrt5)\n\nTHAT IS:\nX = (59 - 20sqrt5)/(3-sqrt5)  feet
1078035
C-120... Two supplementary angles must equal 180.... 60+120=180\nB-32 feet... 8*4=32
284409
Ex:\nA man stands 60 feet away from a building and sees the top of the building at a 60 degree angle. How tall is the bulding?\n \n1)Choosing an equation: (sin, cosine or tan)\nGoing to those three equations which one do we use?\nWell, we want to find the hight of the bulding (opposite b/c it is opposite the angle), so lets use tan.\n \n2)Setting the equation:\n \ntan 60 (the measure of the angle is θ) = (x) (opposite) / 60 (side adjacent to angle is adjacent)\n \n3)Press on Calculator: tan 60\n \nU should get: 1.732050...\n \n4) Multiply by 60. (b/c ur solving for x , see original equation),  \n5)Answer:  about 103.9230485\n \n6)Using 30-60-90 Triangle tricks we check our answer and find the height is 60 X (sqrt 3) which is aproximately 103.9230485 so we are right.
8037
6 to 6 and a half inches.
960482
about -36 degrees centigrade
251441
this site may be of help to you: \n\nhttp://mathworld.wolfram.com/Decagon.html
147295
add up the lengths of all the sides.....\n\nemail me if you need anything else\n\nnghttymguy112@yahoo.com\n\n~Brendon
1014115
For all those who've responded so far to this question (and still not given the answer), come on, when someone needs help at least you can guide them !!! That's what Yahoo Answers are for.....\n\nTo Alwahdaboy615,  I've shown you how to do such sums and done 5 of them, balance five you try out so you know how to do it because at the time of your exam, you will yourself have to do it - Right\nGood Luck - here goes .....\n----------------------------------------------------------------------------\nFirst remember the geometry rule -the sum total of all supplementary angles is 180 degrees. Coming to your questions\n---------------------------------------------------------------------------------------------------------\nQuestion 3 (Fill-In-The-Blank Worth 1 points)\n\nGiven the following measurements for the supplementary angles in the diagram, solve for y. \nRound your answer to the nearest tenth! \n\nangle 1 = 23 + 4y \nangle 2 = y - 25\nNumerical Answers Expected! \n\nAnswer for Blank 1: \n\nangle 1 will be  23+4y = 180 or that is, 4y = 180 – 23 = 157   hence y = 157 / 4 = 39.25 degrees \nRounded to nearest tenth it will be 40 degrees\n\nangle 2 will be y-25 =  180 hence y = 180-25 = 155 rounded to nearest tenth it will be 160 degrees\n\n------------------------------\n\nQuestion 4 (Fill-In-The-Blank Worth 1 points)\n\nGiven the following measurements for the supplementary angles in the diagram, solve for y. \nRound your answer to the nearest tenth! \n\nangle a = 5y + 8 \n\nangle b = 38\n\nNumerical Answers Expected! \n\nAnswer for Blank 1: \nangle a will be 5y + 8 = 180 or that is 5y = 180-8=172  hence y = 172/5 = 34.4 and rounded to nearest tenth it will be 30 degrees\n\nangle b is given as 38 and rounded it will be 40\n\n------------------------------\nQuestion 5 (Fill-In-The-Blank Worth 1 points)\n\nGiven the following measurements for the supplementary angles in the diagram, solve for y. Round your answer to the nearest tenth! \n\nangle 1 = 26 + 4y \n\nangle 2 = y - 25\n\nangle 1 will be 26 + 4 y = 180 or 4 y = 180-25 = 155  hence y = 155/4 = 38.75 rounded it comes to 40\n\nangle 2 will be y-25 = 180 or that is y = 180-25 = 155 and rounded it comes to 160\n\nNumerical Answers Expected! \n\nAnswer for Blank 1: \n------------------------------.\n\nALL THE ABOVE ARE NUMERICAL ANSWERS
584655
45 degrees is the best angle in theory.\n\nIn practice you may have a adjust a little to compensate for air resistance and wind factor.
1133705
If you are given the arc length of s,\n\nThe angle may be found by\n\ns/(2*PI*r) * 360 degrees.
1052338
To find the internal angle t of a regular n-sided polygon, divide 360 by the number of sides, then subtract from 180, i.e.:\n\nt = 180 - ( 360 / n )\n\nThus for a triangle, the internal angle is: t=180-(360/3)=180-120=60d.  For a nonagon, t=180-(360/9)=180-40=140d.  Assuming that all three regular polygons occupy all 360 degrees around the point (it wasn't stated, but then the problem would not be solveable), then the remaining angle would be 360-60-140=160d.\n\nWe can then simply invert the same equation to find the number of sides for a regular n-sided polygon with an internal angle of t, i.e.:\n\nn = 360 / ( 180 - t )\n\nSo a polygon with an internal angle of 160d would have n=360/(180-160)=360/20=18 sides.
747405
15 inches\nThe side of a regular hexagon inscribed in a circle is the same as the radius of the circle. In fact, if you connect the center of the circle to each vertex of the hexagon (with a straight line segment), then you will have 6 equilateral triangles that all meet at the center of the circle.
588226
Well actually if you're trying to see how long it will stay in the AIR the longest then it's a 90 degree angle. But if you're trying to make it stay in the air the longest AND GO THE FARTHEST DISTANCE then it'd be 45 degrees.
1159510
the four angles add up to 360 degrees
832160
The angles formed by crossing lines are supplementary (add to 180º).\n\nSo it is a simple matter of subtracting:\n180º - 145º = 35º\n\nThe acute angles will each be 35º.
952527
These aren't angles, so it won't equal 180.  These are the measurements of each side, but given with variables.\n\nPerimeter = side A + side B + side C\n\nYou just add the terms.\nPerimeter = (x + 3) + (2x + 1) + 6\n\nNow group your x terms and your unit terms:\nPerimeter = (x + 2x) + (3 + 1 + 6)\n\nNow simplify:\nPerimeter = 3x + 10\n\nThere's your perimeter --> 3x + 10\n\nBONUS INFO:\nAnd if they had continued the question and said the perimeter was 40, you should be able to figure out the sides...\n\n40 = 3x + 10\n3x = 30\nx = 10.\n\nSide A = x + 3 = 13\nSide B = 2x + 1 = 21\nSide C = 6\n\nFor your question though, the perimeter is:\n3x + 10
543775
No.  Take 15 time twelve to convert the sides into inches. that gives you 180 inches per side.  Multiply 180 time 180 to come up with  32400 square inches.  Then take taht time 4 to come up with 129600 cubic inches.  Divide that by 1728 to come up with 75 cubic feet.