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 A hexagonal planter 2020-05-28 From Callie:Hello, I'm having trouble cutting my angles for my 2 x 4 planter. I did exactly as I've watched and read and mine is just not turning out! Ok, so I want 6 or 8 piece hexagon. With an interior of about 10". So I understand that the boards can be any length, but its the 30 degree or 22 1/2" angles that matter. So. How do I figure how long my 2 x 4 is with 6. and another 8 pieces of 2 x 4 to make this planter and at what angle. So does the length determine the angle? Thank you in advance! i don't want to waste anymore wood! And how to figure length, angle and center circumference?Answered by Harley Weston. A hexagon constructed from two triangles 2020-04-13 From sunny:Triangles AEC and FDB are equilateral triangles and EA= DF= 12cm. The polygon at the center of the star is a regular hexagon. What is the area of the hexagon?Answered by Penny Nom. The area of a triangle from two angles and a side 2020-02-10 From Chinmoy:How to measure the area of a triangle with two angles and length of the included side known?Answered by Harley Weston. What do you call a 43-sided polygon? 2020-01-06 From Alniko:What do you call a 43-sided polygon and what is its interior angle's total measure?Answered by Penny Nom. Do all angles have to be equal to a number? 2019-05-15 From Malik:Do all angles have to be equal to a number? By all angles I mean adjacent, vertical, supplementary, complementary.Answered by Penny Nom. Internal acute angles 2019-04-02 From karan:Prove that a convex polygon cannot have more than three acute internal angles.Answered by Penny Nom. The supplement of a complement 2019-01-25 From Andrei:The value of the supplement of the complement of 8° is ?°.Answered by Penny Nom. What angle s its own supplement? 2019-01-25 From Ciara:What is the angle of it's own supplement?Answered by Penny Nom. The height of a tower 2018-12-12 From Pandey:Hello sir plz solve this question. If the shadow of a tower is found to be 10.5m longer when the sun's altitude is 45°AND60°. Find the height of the tower.Answered by Penny Nom. Similar rectangles 2018-01-31 From Kathy:A rectangular picture frame is 14 inches long and 4 inches wide. Which dimensions could a similar picture frame have. 8 L X 21 W 35 L X 15 W 49 L X 14 W 7 L X 3 WAnswered by Penny Nom. A range hood 2017-12-04 From Chuck:I'm building a custom range hood and can't seem to get the angles correct where the front and side panels intersect. I saw a similar post but there's no way I can do the calculations for a Wolfram Alpha! Here are the dimensions that I have (in inches)... Base - Front 29 7/16" x side 19 3/16" Top - Front 10" x side 9" Front Panel Length (from base to top on an angle) 21" Side Panel Length (from base to top on an angle) - 17 9/16" Vertical distance from the base to the top 14 1/4 inches. Any help finding the bevel/miter of the two front corners where the sides meet the front panel would be greatly appreciated. I will need the angle for the saw in degrees. Thank you in advance! Regards, ChuckAnswered by Harley Weston. Complementary angles 2017-09-15 From SM:The measure of angle A is 60 degrees more than its complement. Find the measure of angle A.Answered by Penny Nom. Squares and rectangles 2017-07-15 From Tront:So, there's a general rule that all squares are rectangles but not all rectangles are squares. Im trying to find a term that would describe this relationship. I've found that if all of A is B but not all B is A then I'd say that A is a subset of B, but is there a term that describes the relationship as a whole? I don't want to describe the components, I want to describe the relationship as a whole.Answered by Penny Nom. An angle and its complement 2017-01-10 From Ysa:If the measure of an angle is twice the measure of its complement, what is the measure of the angle?Answered by Penny Nom. Hexagonal pyramid bevel angles 2016-09-30 From Peter:I have seen your response to a similar question from Steve which Chris and Harley responded to, however I am not familiar with some of the terms. Is there a formula that I can enter my details in which will give me the specific angles I require. The item I am constructing is much larger than the one you responded to previously. Thank you for any assistance you are able to provide.Answered by Penny Nom. The number of sides of a polygon 2016-07-23 From Shriya:All the angles of a polygon are either 155° or 140°. There are twice as many angles of 155 °or 140°. Find the number of sides of the polygonAnswered by Penny Nom. A congruence theorem for two right angled triangles 2016-07-17 From Sayari:Hello. Is it possible for two right angled triangles to have the same length of base and height and a different hypotenuse? If not so, then why in the congruence criteria RHS the hypotenuse is given more importance? It can also be like- 'two triangles are congruent if they are right angled and have the same base and height.' Thank You.Answered by Penny Nom. The difference between the ares of two rectangles 2016-06-09 From Ingrid:I am trying to help my son with an area question. I have the answer, from the solutions, but I cannot figure out how to teach him. Question: Two rectangles have lengths 13cm and 19cm respectively. Their total area is 376cm squared. If both their widths are whole numbers, what is the difference in their areas? I know that this is solvable once I determine the widths of the rectangles , but how do I go about finding that? Thanks for your helpAnswered by Chris Fisher and Harley Weston. A trough with a triangular cross section 2016-05-21 From Clarice:A trough having an equilateral triangle end sections has sides equal to 0.4 m and 7m long.what is the volume of the liquid in the container if the depth of the water is one half the depth of the trough?Answered by Penny Nom. External and interior angles of a regular polygon 2016-04-19 From pearl:a polygon has n sides.The exterior angle is 8 times the interior angle find the value of the interior angle find the value of nAnswered by Penny Nom. Angles 2016-03-12 From Laurynn:What are angles in general (please include the 'angle of incline') Thank you LaurynnAnswered by Penny Nom. The sum of the angles of a triangle 2016-02-24 From Sophia:Does every triangle add up to 180 degrees? (Such as a unique triangle)Answered by Penny Nom. The interior and external angles of a regular polygon 2016-02-17 From percy:a regular polygon has n sides .The size of each interior angle is eight times the size of each exterior angle . 1.find the size of each exterior angle 2.calculate the value of nAnswered by Penny Nom. Consecutive angles of a parallelogram 2016-01-28 From Hanna:The consecutive angles of a parallelogram measures Answered by Penny Nom. The angles of a triangle 2015-12-17 From Faith:Does the measure of angle determine the length of its side? For example two angles are congruent then the sides are also congruent because from my understanding the angle determine the shape of triangle.Answered by Penny Nom. The measure of an angle in terms of its complement 2015-11-22 From Pam:Can you please help me so I can help my daughter the equation is the measure of angle v is 4 time the measure of its complement what is the measure of angle v when the equation is 4x+x=90Answered by Penny Nom. The length of a shadow 2015-08-01 From maaz:Hello I am having trouble with this question: Lizzie, who is 6 feet tall, stands in her driveway at night, exactly 24 feet from the base of a spotlight, and casts a shadow that is 12 feet long if her friend Hannah who is 5 feet tall decides to stand next to lizzie how long will her shadow be?Answered by Penny Nom. An octagonal frame around a pool 2015-05-17 From James:I have a 20' pool and need to put a frame around it using 2by 4 what r the lengths and angle cutsAnswered by Penny Nom. Cutting a hexagon with a sliding miter saw 2014-11-23 From Joseph:I need the angles in degrees for a hexagon one side is 18inches on the outside the problem I am having is in the angle of the cut and I am using a sliding miter saw which only goes from0 degrees to 45 degrees so I need help in getting the angle of the cutAnswered by Harley Weston. Building an 8 sided box 2014-10-14 From Michael:I want to build an 8 sided box. The North, East, South, and West sides I want them to be 4 feet in length. The NE, SE, SW, and NW sides I want to be 2 feet in length. What angles do I need to cut my angles. Thanks MichaelAnswered by Penny Nom. Interior angles in a parallelogram 2014-08-30 From xavier:so, one of my math homework questions requires me to know how to find out how to find the interior angles in a parallelogram, the question is, "how many interior angles does a parallelogram have?"Answered by Penny Nom. A barge of triangular cross section 2014-08-18 From tushar:a barge of triangular cross section is 20m long 12 m wide and 6m deep.its floats in SW at a draft if 4m find its displacementAnswered by Penny Nom. The length of a shadow 2014-05-09 From vijay:A girl of height 80 cm is running away from the base of a lamp-post at a speed of 2 m/s. If the lamp is 4 m above the ground, find the length of her shadow after 5 seconds.Answered by Penny Nom. Two cones 2014-04-09 From c.j:what is the length of the radius of the LARGER cone(the LARGER cone has a slant height of 15) when the SMALLER cone has a radius of 8 and a slant height of 12ft ,please help.Answered by Penny Nom. Shadows of a father and son 2014-04-02 From esada:the father and son cast a shadow of 11 feet and 8 feet,respectively if the son is 4'8'' in height,how tall is the father?Answered by Penny Nom. A triangle has angels in the extended ratio of 2:5:8 2014-02-06 From Rubina:a triangle has angels in the extended ratio of 2:5:8. find the measure of all three angles?Answered by Penny Nom. Constructing a triangle 2013-08-22 From Nazrul:The base, the difference of the angles adjoining the base and the sum of the other two sides are given. How can I draw the triangle? Please help me.Answered by Chris Fisher. Similar rectangles 2013-08-17 From Mattie:The dimensions of a rectangular-shaped picture frame are 14 inches long and four inches wide. Which dimensions below represent another frame that i geometrically similar> a. l=49 in. and w=14in. b. l=7in and w=3in c. l=21in and w=8in d. l=24in and w=14in thanksAnswered by Penny Nom. A triangle construction 2013-07-27 From Nazrul:Two angles and the difference of the lengths of their opposite sides of a triangle are given. How can I draw the triangle. Please help me.Answered by Chris Fisher. A kennel for a beagle 2013-06-03 From david:Hi, I'm building some beagle kennels and I am in need of help with an angle problem. I need to place a roof on my kennel with a drop of 2inches across 3ft 10inches. ﻿the posts on ﻿the right side will be 5ft and ﻿the post on ﻿the left will be 4ft 10in. ﻿the posts are 4x4 and ﻿the space to be covered is 3ft 10in from ﻿the outside of ﻿the 4x4. Please help, thanks.Answered by Penny Nom. A triangle and an incircle 2013-05-09 From Max:On my Geometry Test about tangent, chord, and secant lengths, my teacher gave an extremely difficult problem. It was a Circle inscribed in a Triangle with all triangle sides being tangents and lengths were given. My class was told to find the length of each segment of the line. The points on each line were the vertexes of the triangle, and the point where the line hits the circle. Please explain how someone could do this.Answered by Chris Fisher. Drawing a pentagon 2013-05-06 From jacob:hello. i am trying to draw a template for a project. but i don't have a protractor. i'm trying to draw a normal pentagon with 2cm sides. what i'm trying to figure out is the distance in centimeters from point a, to c, in a straight line. this is needed so that i can measure and create the shape without a protractor, and keep the angles and sides correct. if you can help me with the measurement, or help me another way, any help would be greatly appreciated. thank you.Answered by Penny Nom. Trigonometry 2013-03-23 From Tizoc:I am in a trig class and I have a conflict. When solving the length of a side, I know what trig function to use, but I do not know what angle to use in a calculator. To make this a little more understandable, if I have all the angles available in a right triangle and I use the tangent function, how do I know what to use? Heres what I do not know what to put in my calculator: Tan(?) Thanks in Advance!Answered by Penny Nom. Three right triangles 2012-07-26 From Jora:I am having a lot of difficulties with this question. Name: Jora Subject: Math Who are you: StudentAnswered by Chris Fisher. An octagonal sandbox around a pool 2012-06-12 From Linda:My pool is 15 feet across and it is round. How do I measure to cut wood to build a sandbox around it? was thinking it will look like an octagon. ThanksAnswered by Harley Weston. Squares and triangles 2011-12-06 From Liaqath:You have squares and triangles. Altogether there are 33 sides. How many squares do you have? How many triangles do you have?Answered by Penny Nom. Solve for theta if 8cos^2 theta-3=1 2011-12-02 From Katherine:Hi, I have just learned to solve trigonometric problems for theta and have one specific question in order to find the solutions to my homework. I will use one example for this question. If I have 8cos^2 theta-3=1 I first divide by 8 and get cos^2theta=3/8 then I have cos theta= plus or minus the square root of 3/8 Then I assume that I plug in inverse cos (the square root of 3/8) to my calculator. How do I find the four solutions (we are typically supposed to find four, I believe?) Can you help me with finding the solution to this problem? Thank you!Answered by Penny Nom. A right angled triangle 2011-10-31 From bijo:how can i find the tangent point at a circle with origin as center with radius r and the tangent pass through a given point P? I also want to find out the third point of a right angled triangle given other two points?Answered by Chris Fisher. Building a custom range hood 2011-10-08 From Bill:I'm building a custom range hood for a customer with special order material that matches their newly installed cabinets and I need it to be perfect. The hood is basically a pyramid but the 4th side is the flat wall at the back and a flat, rectangular top. I need to calculate the bevel and miter of the three sides but I never was very good with geometry functions (although I am fairly good with other math fields). I either need the calculations from you at least (shudder) a formula or set of formulas so that I can calculate them myself.Answered by Harley Weston. Dividing a polygon into triangles 2011-04-16 From Foxie:You have a given regular polygon with n vertices and you divide it into triangles(using the vertices of the polygon) which each share at least one side with the polygon. How many distinct ways can you divide the polygon if its vertices are numbered? For n=3 it's 1 way, for n=4 it's 2 ways for n=5 5 ways, I'm not quite sure but think that for n=6 it's 12 ways... thanks in advance!Answered by Claude Tardif. The interior angles of a pentagon 2011-03-10 From Daima:I need help! The interior angle of a pentagon i s5 ( I hope ) or 540 degrees. The interior angle of a pentagon is what? Explain to me please. DaimaAnswered by Penny Nom. Triangles with perimeter 16 cm 2011-02-22 From Chong:How many triangles (up yo congruence) with perimeter 16 cm and whose lengths of its side are integers?Answered by Chris Fisher. Calibrating a conical tank 2011-02-05 From Bill:Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, BillAnswered by Stephen La Rocque and Penny Nom. The height of a lamp 2011-01-13 From Dorothy:I need to find the lamp height with casting shadow (base line of triangle where a boy 1.6m tall stands 3m from base of street lamp and has a 2m shadow. In other words, think of a right angle triangle with zero height starting at left, then 2m to right stands boy (1.6m high). Angle (hypotenuse) increases up to top of street lamp with 'x' height and 3m base.Answered by Penny Nom. Draw a figure with 16 triangles using only 6 line segements 2010-12-16 From Jill:How can you draw a figure with 16 triangles using only 6 line segements?Answered by Stephen La Rocque. The angles in an m-gon and genrealizations 2010-10-16 From Michael:Hello: In answer to a student's question, someone named Penny from your organization provided a proof that the sum of the interior angles of a triangle in the plane is pi radians (or 180 degrees). I am interested (and I'm sure many other people would be too) in 3 potential generalizations of this basic fact in plane geometry:Answered by Walter Whiteley. A spaceship playhouse 2010-07-26 From Dave:I would like to build a spaceship playhouse for my grandson I want it to be about 36" around and I want to use 5/4 decking boards that measure 5 1/2" wide how do I figure out how to lay out a base pattern to nail to (what angle do I need to cut and how many boards will it take to go around the circle.Answered by Penny Nom. An octagon shaped bench 2010-07-09 From rob:i am trying to build a octagon shaped bench to fit inside a 69 inch round hot tub so that the tip of each point touches the edge of the circle where it will be fastened.Answered by Stephen La Rocque. Rays and angles 2010-06-24 From cristina:what is the formula for finding the number of angels that can be named by a given number of rays with the same endpoint?Answered by Robert Dawson. An angle in a triangle 2010-05-06 From Morgan:Question from Morgan, a student:                  t         8   t      t 8           t    78   t        t               t   t                        t t   x                       t ttttttttttttttttttttttttt               10 I'm having trouble solving for x I'm not sure where to start ( the ones in the middle of the triangle are both degrees) thanks in advance for your help i really do appreciate itAnswered by Penny Nom. A wishing well 2010-05-04 From Cassie:I'm trying to construct a Wishing Well made of treated 2x4 wood, so the actual measurement is 3 1/2 by 1 1/2. The well is going to be three feet in diameter. I'm trying to construct this as circular as possible, what angle should the wood panels be cut at?Answered by Penny Nom. An irregular octagon 2010-03-09 From Gayle:Question from Gayle: I am building an irregular shaped octagon wooden box. The measurements are 291/2 inches by 211/2 inches. Sides are 12 inches. It will be 36 inches high. What would the cutting angles degrees be?Answered by Harley Weston. How many triangles...? 2010-02-22 From deciree:Given 12 points, no 3 of them on a line with 6 red, 4 blue and 2 green points. a) How many triangles have vertices all the same color? b)How many triangles have vertices with each vertex a different color? c)How many triangles have at least one green vertex? thanks to lorraine!Answered by Penny Nom. Triangles 2010-02-19 From Wiliam:A box contains one 2 inch rod, one 3 inch rod, one 4 inch, and one 5 inch rod. What is the maximum number of different triangles that can be made using these rods as sides?Answered by Penny Nom. Triangles on a base of 2.4 meters 2009-12-26 From Allan:Please,How do I calculate the height of a triangle when I only know the width of the base line,It is 2.4 mtrs. Thankyou very much.Answered by Penny Nom. Polygons, diagonals and the sum of the measures of the angles 2009-12-18 From jason:find the set of polygons in which the number of diagonals is greater than the sum of the measures of the anglesAnswered by Robert Dawson. The line through D(-4, 0) and E(2, 6) 2009-11-16 From Rogerson:The point F is on the line through D(-4, 0) and E(2, 6) so that DF=4DE. Find the coordinates of F.Answered by Penny Nom. The three angles of a triangle 2009-10-13 From Michelle:The second angle of a triangular garden is four times as large as the first. The third angle is 45 less than the sum of the other two angles. Find the measure of the other two angles?Answered by Penny Nom. Two rectangles 2009-10-08 From Lillian:A rectangle is 5cm longer than twice its width. The width of another rectangle is 3cm less than the width of the first rectangle and its length is 6cm more than 3 times its width. If the perimeters are equal, find the dimensions of both rectanglesAnswered by Penny Nom. The maximum number of right angles in a polygon 2009-10-05 From Bruce:Is there way other than by trial and error drawing to determine the maximum number of right angles in a polygon? Secondary question would be maximum number of right angles in a CONVEX polygon. Is there a mathematical way to look at this for both convex and concave polygons? Or are we limited to trial and error drawing?Answered by Chris Fisher. A paper towel roll 2009-08-19 From Jeff:I am making a spiral tube with paper that is 2" in dia. and 102" long I will be using paper that is slit 3" wide how many lineal feet of paper will I need to to cover the 102" I will be using 3 rolls of paper that will over lap the other by half to make a hard tube (paper core) in a roll of paper towels Thanks JeffAnswered by Penny Nom. How can I trisect an angle? 2009-07-27 From Nazrul:How can I trisect an angle?Answered by Robert Dawson. The position of the fulcrum 2009-05-23 From jim:I think I need a formula. I need to know how far an object will be lifted. A beam is 246 inches long on one side of the fulcrum, and 41 inches on the other side, if I push down 36 inches on the long side of the beam, how much will the short side move up?Answered by Stephen La Rocque. The sum of the angles of a triangle 2009-05-18 From mary:prove that the sum of the three angles inside any triangle always add up to 180 degrees?Answered by Harley Weston. Angles in a triangle 2009-05-16 From Robert:The second angle of a triangle is twice the sizee of the first angle, the third angle is 48 degrees less than the sum of the other two angles. What are the measurements of all 3 angles? PS: please helpAnswered by Stephen La Rocque. The hypotenuse of a right angled triangle 2009-05-11 From Deb:Find the length of the hypotenuse of a right angled triangle with one leg 7 cm longer than the other and the hypotenuse 2 cm longer than the longer leg. I've ended up with the hypotenuse = x+9, another side = x and the other side = x+7. what do i do next?Answered by Penny Nom. The interior angles of a pentagon 2009-04-20 From Mary:If four interior angles of a five-sided figure pentagon measure 100 degrees each, what will the fifth angle measure?Answered by Harley Weston. Two similar rectangles 2009-04-19 From Alyssa:The ratio of the lengths of corresponding sides of two similar rectangles is 3:5. the small rectangle has an area of 36 square centimeters. What is the are of the large rectangle?Answered by Penny Nom. The angles of a triangle 2009-03-11 From Marissa:The angles in a triangle measure 7x-1, 18x+2, and 5x+10. Determine whether the triangle is acute, obtuse, or right. State your reasons clearly.Answered by Robert Dawson. Triangles within triangles 2009-02-24 From Mari:a large shaded triangle changes each day with a white triangle appearing in the center of each shaded one. If this pattern continues, how many white triangles will be there on the 6th day? On the 6th day, what fraction of the large outer triangle will be white?THANKS!Answered by Robert Dawson. Trig functions without geometric data 2009-02-24 From bob:I do not understand how it is possible to find the sine, cosine, or tangent of an angle if there is no hypotenuse, opposite or adjacent side?!Answered by Robert Dawson. Forming an arc with 2 inch steel 2009-02-11 From Craige:I need to calculate the bending radius of 2" wide steel to achieve given inside and outside arc lengthsAnswered by Harley Weston. A 30-60-90 triangle 2009-02-03 From Inez:If you have a 30-60-90 triangle and the only side you get is 73 and a 90 degree box, how do you find the area?Answered by Penny Nom. The ratio of the measures of the three angles of a triangle 2009-01-18 From mary:The ratio of the measures of the three angles of a triangle is 2:5:8. What is the measure of each angle of the triangle?Answered by Robert Dawson and Harley Weston. A stack of rectangles 2009-01-11 From ashwani:Could you please advise the area of a rectangles pyramid. There are 5 rectangles placed one above the other. The top most rectangle has length 2 cm and height 2 cm. The subsequent rectangles length is increased by 1 cm on both the sides, while the height of the 2nd and 3rd rectangle is 2cm each, while the 4th & 5th has a height of 3 cm each. Could you please let me know the the area of the figure and the formula to calculateAnswered by Penny Nom. A flat-topped pyramid 2009-01-10 From Tom:I am planning to build an open ended, flat-topped pyramid with a rectangular base 28 x 36 in.; a square top 6 x6 in.; and a vertical height of 16 in. I know how to calculate the dimensions of each of the pyramid sides but I don't know how to calculate the interior angles when I bend the sheet metal. I will cut the four sides separately and add a one inch flange to each "vertical" edge of the two larger sides to allow for a bonding surface for the assembly. How do I calculate that angle? I know it will be greater than 90 degrees but by how much?Answered by Harley Weston. Two angles are supplementary 2009-01-08 From Stephanie:two angles are supplementary, one of the angles is 30 degrees more than double the other angle. find the first angle, the second angle the complement of the given angle.Answered by Robert Dawson. Pouring angles for a crucible 2008-12-20 From Richard:I am trying to work at pouring angles and volume left in during pouring a crucible, The crucible is cylindrical and flat bottomed. I know the diameter, radius and volume of the crucibles. and the volume of liquid going into it. So lets say the crucible is only half full firstly I need to work out the angle just before its going to pour. ( I can work this out as long as there is a certain volume of liquid if its not enough I cant do it) Now the problem I also need to work out how much I should tilt the crucible to allow a certain amount out and be able to do this untill the volume reaches 0 at 90' turn. This is where I am stuck. The reason for needing to be able to work this out is so i can develop a constant flow for example 10Kg of metal per second. Thank you very much for you timeAnswered by Harley Weston. The volume of a feed hopper 2008-12-18 From John:I need to calculate the volume of a feed hopper, and I'm not sure how to break it down. The top of the hopper is 36" x 36", it is 30" deep, and ends at a 6" x 6" plate. One side of the hopper is straight top to bottom, of course tapering on two sides to meet at the plate. The other three sides angle down at about 75 degrees. I need to determine the cubic foot volume of this hopper (it is used for ground coffee) so I can configure a vibrator to knock down residual grounds. Thanks.Answered by Robert Dawson. 3 equidistant points 2008-12-01 From Damien:How do you find 3 equidistant points (C,D,E) on a line between point A(Xa, Ya) and point B(Xb, Yb) so that AC, CD, DE and EB are all equal?Answered by Chris Fisher. The midpoint o a line segment 2008-11-15 From Jane:The vertices of a triangle are at (1,7), (6,-1) and (0,3). Find the coordinates of the midpoints of the sides.Answered by Penny Nom. The angles and sides of a triangle 2008-11-13 From JAMIE:a triangle with a side(b)37m an angle(C)70degrees and (a)79m find values of angles A and B and length of side cAnswered by Stephen La Rocque. Supplementary angles 2008-11-10 From Anna:

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