Triangle Definition and 1000 Threads

An Isosceles triangle has two equal sides of length 10cm. Let x be the angle between the two equal sides. a. Express the area A of the triangle as a function of x in radians. b. Suppose that x is increasing at the rate of 10 degrees per minute. How fast is A changing at the instant x =...

Homework Statement 1] l x + y l < or equal to l x l + l y l Homework Equations x^2 + 2xy + y^2 The Attempt at a Solution Left side. i Squared left side to begin with, and i got x^2 + 2xy + y^2 and also did the same for the right side, but it would have absolute sign...

UK Ministry of Defense Report Findings "The UK Ministry of Defense report "UAP in the UK Air Defence Region[2] released to the public in 2006 draws several conclusions as to the origin of "Black Triangle" UFO sightings. Their researchers conclude that "Black Triangle" UFOs are formations of...

Homework Statement Someone gave me this problem: finding the radius of the circle inscribed in the triangle with the given lengths. The Attempt at a Solution The person asking about this problem said it was taken from a beginning algebra textbook. I tried figuring it out using just...

The relation to be proved looks pretty simple. However, there is no evident point from whih I can start. How do I start relating quantities that are under root? The cyclic order of the sides on the left side is reminiscent of the cosine rule, but that's just it! Plus the right hand side...

Imagine a boat on the water being putted towards the shore by a winch mounted a height h above the water. The winch reels in cable (shortening the hypotenuse) at constant rate u in m/s . When the boat is a distance d from the shore, find its speed and acceleration. This is an example of motion...

given z, w\inC, and |z|=([conjugate of z]z)1/2 , prove ||z|-|w|| \leq |z-w| \leq |z|+|w| I squared all three terms and ended up with : -2|z||w| \leq |-2zw| \leq 2|z||w| I know this leaves the right 2 equal to each other but i figured if i show that since there exists a z\geqw\geq0, then...

My problem states: Given z, w\inC, prove: ||z|-|w||\leq|z-w|\leq|z|+|w|. Now, I am confused because, isn't it true that ||z|-|w||=|z-w| ? I am using Rudin's book which gives |z|=([z's conjugate]z)1/2

Homework Statement Given an equilateral triangle with sides 20-cm, with point charges at each point: q1 at the top with a charge of +4.0uM, q2 at the bottom right with a charge of -4.0uM, and q3 at the bottom left with a charge of +4.0uM. k is assumed to be exactly 9.00x109 N-m2/c2...

What's a "triangle of forces" (triforce, lol) I've attached a snip from my textbook. I don't get how they make that triangle, and how they get those angles. Can someone please help.

Homework Statement Imagine an isoscoles triangle. The "top" vertex has an angle of 2*theta. The common side has a length of L. When you cut the isoscoles triangle in half, that common side becomes the hypotenuse of the two resulting right-triangles. {\rm{BaseLength}} = L \cdot \sin \theta +...

Homework Statement If z = 4 + i and w = -2 +2i, determine (z+w)5 using Pascal’s Triangle and standard form. Homework Equations The Attempt at a Solution

Three charged particles are located at the corners of an equilateral triangle. Calculate the total electric force on the 7.00µC charge. The three charges are: 7.00µC, 2.00µC, and -4.00µC and they are all 0.500 meters apart. Here's a graphic of the layout...

Homework Statement The vertices of triangle are (2,0,0) ; (0,3,0) ; (0,0,6) . Find the area of triangle. Homework Equations The Attempt at a Solution is it right that i put in determinant like Area of triangle = 0.5 | 2 0 0 | | 0 3 0 | | 0 0 6 | = 0.5 (2* 3 * 6)...

Say I have two lists, List1 and List2 containing elements such as words. Some words are common two both List1 and List2. I want to create a distance metric that tells me how far apart the two lists are based on a similarity "score". The similarity score and distance metric are as follows...

Homework Statement In a triangle, two sides that measure 6 centimeters and 10 centimeters form an angle that measures 80 degrees. Find to the nearest degree, the measure of the smallest angle in the triangle. Homework Equations A2 = B2 + C2 – 2bc Cos A The Attempt at a Solution...

Homework Statement triangle in the plane z=1/2y with vertices (2,0,0) (0,2,1) (0,0,0) please help me to find out the projection of the triangle in xy plane. thanks Homework Equations The Attempt at a Solution

Let PQRS be a rectangle inscribed in a triangle ABC(i.e P is in AC, Q in BC and R,S are in AB). Find the locus of points that are intersection of diagonals of the rectangle. (i.e find the locus of intersection of RQ and PS)

Homework Statement Use Green's Theorem to evaluate ∫F*dr. (Check the orientation of the curve before you applying the theorem.) F(x,y)=<y2cos(x), x2+2ysin(x)> C is the triangle from (0,0) to (2,6) to (2,0) to (0,0) *=dot product Homework Equations Green's Theorem The Attempt...

Homework Statement Hi, How to check whether a give point is inside or outside the triangle, Please help me . Homework Equations The Attempt at a Solution

Homework Statement A truck is to be towed using two ropes. If the resultant force is to be 950N, directed along the positive x axis, determine the magnitudes of forces F1 and F2 acting on each rope and the angle at which rope two pulls to ensure that the magnitude of F2 is a minimum. F1 acts...

I have a conceptual problem regarding the following scenario: Try to imagine a triangle with two blocks on each side, attached together with a rope, and a pulley at the tip of the triangle. Block A & B are attached to each other through a rope. Blocks A & B are in static equilibrium, each on...

Homework Statement At ΔPQR, a line is drawn parallel to QR, cuts PQ at S and PR at T. Line SR and QT intersect at X. Show that PS / PQ = TX / XR Homework Equations The Attempt at a Solution I can not achieve that proof. The best I can get is : PS / PQ = TX / XQ. Something wrong...

Homework Statement Consider an equilateral triangle of side 15.6 cm. A charge of +2.0 µC is placed at one vertex and charges of –4.0 µC each are placed at the other two, as shown in the diagram to the right. Determine the electric field at the centre of the triangle. I've found the...

A triangle ABC, where ,<A = 60 degrees. Let O be the inscribed circle of triangle ABC, as shown in the figure. Let D, E, and F be the points at which O is tangent to the sides AB, BC and CA. And let G be the point of intersection of the line segment AE and the circle O. (but AE line not cross...

I need help... I am taking physics for the first time and I am taking it online which probably isn't the smartest way to go...but to make matters worse I am also currently enrolled in the calculus class that is a prerequisite for the course at the same time so my math skills are not really up...

Homework Statement hello again, sorry for asking so many questions, i just want to make sure if I am correct or not calculate the line integral y^2dx+x^2dy where line C is the triangle with sides x=1, y=0 and y=x The Attempt at a Solution first of all i tried to find a customization of the...

Alright, we have triangle abc with hypotenuse c. So, if you add vector a and vector b, the answer is vector c. Now, according to the pythagorean theorem, this would not make sense. But the pythagorean theorem is DISTANCE. I am guessing that this phenomenon has something to do with using...

[Homework Statement 1.) Three charges are placed 25 cm apart in an equilateral triangle. Q1 has a charge of -6.0 nC, q2 has a charge of 4.0 nC and q3 has a charge of 4.0 nC. what is the force on q2? q1 is the top point, q2 is the bottom left leaving q3 on the bottom right Homework...

I'm interested in thing that are norms except for the fact that they satisfy the reverse triangle inequality ||x+y|| \geq ||x|| + ||y||. The obvious example is taking p-norms for 0<p<1. Does anyone know of others or if there's any theory developed on this topic?

Hi all I have a question concerning Euler's triangle formula, where the distance (d) between the incenter and circumcenter of a triangle is given as d2 = R(R-2r), with R being the circumradius and r the inradius. I suck at algebra and I need to know how to solve this if I only know the...

Homework Statement Let (X,\theta) be a metric space. Take K > 0 and define. \theta : X \cross X \rightarrow \real_{0}^{+}, (x,y)\rightarrow \frac{K\phi(x,y)}{1+K\phi(x,y)} Show that (X,\theta) is a metric space. Homework Equations can someone please check my triangle...

Homework Statement I'm attempting Q 3 from ch 16.4 of Stewart (p 1060). We are required to find the line integral where C is the triangle with vertices (0,0), (1,0) and (1,2). The line integral is Int xy dx + x^2*y^3 dy Homework Equations The Attempt at a Solution...

I am trying to transform a triangle in 3 space with the constraint that z = 1-x-y. At this point I have the following transformation matrix A, and three vector equations: | a1 a2 a3 | A = | a4 a5 a6 | | a7 a8 a9 | A*x1 = k1*y1...

i am trying to write a code that calculates the hypotenuse of a triangle... when i try to run it, i get a run time error. I'm not exactly sure what the problem is. #include <iostream> #include <cmath> using namespace std; void hypotenuse(double side1, double side2...

Homework Statement I had this exam question for a final exam and I was wondering if I got it right or not. There are three point charges +4q equally spaced apart at the tips of an equilateral triangle with distance .11m apart from each other. What is the magnitude of the electric field at the...

MY ATTEMPT: gPE to KE - Water in waterfall KE to gPE - Climbing mountain Strain to KE - Firing an arrow KE to Strain - Trebuchet being wound back Strain to gPE - ? gPE to Strain - ? It is the last 2 for which I really cannot think of instances in life - PLEASE help me out!

Given triangle ABC. And given that it’s a common 3-4-5 right triangle. (this still qualifies as a scalene) So AB = 4 BC = 3 AC = 5 is the hypotenuse If Angle A was bisected, do the two newly formed triangles have the same area? And would the bisecting line hit the midpoint of...

Right triangle problem,please check! Homework Statement In the figure,TN=NK, ST=12 and SN=\sqrt{69}.Find the length of TK. [PLAIN]http://img695.imageshack.us/img695/633/50042657.png Homework Equations Pythagorean Theorem The Attempt at a Solution Segment SN is the median of the...

Homework Statement Consider an isosceles triangles with height x and a fixed incircle of radius R. Show that the minimum area of such triangle occurs when x = 3R Homework Equations None. The Attempt at a Solution Well, I know that have to express the area of the triangle in terms...

Homework Statement Here's the problem: refer to question no. 6 http://img1.uploadscreenshot.com/images/orig/5/12314183569-orig.jpg" Homework Equations I am not sure :S The Attempt at a Solution This, honestly, is a question which I have no clue how to go about... Thanks...

Homework Statement If the base b of a triangle is increasing at a rate of 3 inches per minute while its height h is decreasing at a rate of 3 inches per minute, which of the following must be true about the area A of the triangle? a. A is always increasing b. A is always decreasing c. A...

I have not had any luck in finding out how much is known about the actual positions of quarks in protons and neutrons. I am confused by the brief snippets of information I have managed to find. First by the fact that an electron is fired at a nucleon and that its path can reveal the prescence...

Homework Statement Triangle ABC formed by two vectors a = ( 2, 10, 25 ) and b = ( 5, 4, -2 ) attached at a point A. The area of the triangle is (81 root 5) / 2 And I need to find the length of the height AM (AM perpendicular to BC and the point M belongs to the line BC). Don't know where to...

Homework Statement I have a triangle ABC formed by vectors a = ( 2, 10, 25 ) and b = ( 5, 4, -2 ) attached at a point P. And I have to calculate the area of the triangle ABC. Homework Equations I'm pretty certain that I need to find the area of the parellogram and then half it. So I...

Homework Statement Given triangle ABC with vertices A(4, 1, 7), B(-2, 1, 1) and C(-3, 5, -6)..is ABC a Right triangle Homework Equations The Attempt at a Solution I took the dot product of vertices A(4, 1, 7).B(-2, 1, 1), and it gives 0..but however I am a little confused, as...

Homework Statement integrate f(x,y) = sqrt(x^2+y^2) over triangle with vertices (0,0) (0,sqrt2) (sqrt 2, sqrt 2) Homework Equations x= rcosO, y = rsinO x^2+y^2=r^2 The Attempt at a Solution im supposed to use a double integral converted to polar coordinates, so i used...

On my school days it was very simple because I used to take whatever I've and keep solving and by some or other ways I get succeed answering it but now as we are bounded by very less time (nearly a minute) so now I'm facing very hard time. How you know in which direction you need to go. I can't...

This is the first time I've ever been to this forum, so I'm hoping this is an appropriate place to post this. It's been a good amount of time since my college level physics courses and this rock climbing phenomenon has me stumped. There is a rock climbing anchor arrangement called the...

Hi. I need some help for a test tomoorow on thi sone kind of problem: Homework Statement Set up and evaluate an intergral to find the olume of a cone of height 12 m and radius 3 m at teh open end. A fast replay would be really helpful.