Triangle Definition and 1000 Threads

Homework Statement A small map shows Atlanta to be 730 miles in a direction of 5 degrees north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21 degrees west of north from Atlanta. Assume a flat Eath and use this information to find the displacement from...

Homework Statement In the figure, a 60 cm length of uniform wire, of 60 g mass, is bent into a right triangle. The x- and y-coordinates of the center of mass, in cm, are closest to... I am going to explain the picture in my textbook. The origin is at (0,0). It goes up 10 cm and to the...

A system consists of three particles located at the corners of a right triangle as shown below. Mass 1 is 7.0 kg, mass 2 is 6.4 kg, and mass 3 is 9.9 kg. If the distances a equals 15.8 m and b equals 2.0 m, then what is the center of mass (in m) in the vertical direction? Y center of...

Three objects of different masses are located at the corners of the triangle shown in the picture. If distance a equals 4.21 m, b equals 1.55 m, and c equals 11.93 m, then what is the center of the mass (in m) of the system in the horizontal with respect to the origin? X center of...

See if anyone can help me with this: Among all triangles of perimeter equal to P, find the one with the largest area. (Hint: use the formula A=\sqrt[ ]{p(p-x)(p-y)(p-z)} where P=2p, P is the perimeter). So, I have f|_s , I think that must be solved using Lagrange multipliers, at least I don't...

Hi all! I am still a GR noob and this example has been puzzling me for a while, so I need some help that's hopfully. Let's imagine that there are stars A and B at 10 LY from Earth (at point C) each and 10 LY from each other. A signal is sent every year from Earth (C) indicating the...

Homework Statement Find the center of mass for the following triange: http://www.ehow.com/how_5132033_calculate-hypotenuse.html above is a picture of a triangle, it is a right triangle the side labeled a in the picture is a length of 1 and side b is length of 2, the total weight of...

Homework Statement A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. The sign has mass m. What is the moment of inertia of the sign for rotation about the side of length h? Homework Equations I = \intr^{2}dm The Attempt...

I was wonder what conditions a and b have to be for each inequality in order to satifsy the equality?

Homework Statement a right triangle. hypotenuse is 10, the opposite is 8, and the adjacent is 6 Sine .6 Cosine .8 Tangent .75 i need to find angle A (aka Alpha in the problem) With out using a graphing or scientific calculator. Homework Equations i was told to use...

Homework Statement A right angle is moved along the diameter of a circle of radius a (see diagram). What is the greatest possible length (A+B) intercepted on it by the circle. Homework Equations so, the pythagorean theorem might be useful diameter = 2a The Attempt at a Solution...

Hello. In the Wiki entry for "Leibniz harmonic triangle" there one can find a formula L(r, c) = 1/(c * binom(r - 1, c - 1)) where L(r, c) is the entry in the harmonic triangle and the binom() is the usual binomial notation (or the entry from Pascal triangle). I tried to prove the...

Homework Statement Radio direction finders are set up at points A and B, 8.68 mi apart on an east-west line. From A it is found that the bearing of a signal from a transmitter is N54.3*E, while from B it is N35.7*W. Find the distance from B, to the nearest hundredth of a mile. A person...

Hello, given a set \Omega, we consider all its subsets A_1,A_2,A_3,\ldots with same cardinality k. Do you have some hint in order to prove the following: \forall A_x,A_y,A_z\subseteq \Omega such that |A_x|=|A_y|=|A_z|=k |A_x-A_z| \leq |A_x-A_y|+ |A_y-A_z| Thanks

ABC inscribed within a circle whose diameter AC forms one of the sides of hte triangle. If Arc BC on the circle subtends an angle of 40 ddegrees, find the measure of angle BCA within the triangle

Pretty much knows the triangle inequality. \left| a + b \right| \le \left| a \right| + \left| b \right| I was reading a source which asserted the following extension of the triangle inequality: \left| a + b \right|^p \le 2^p \left(\left| a \right|^p + \left| b \right|^p\right) This is...

Hi, I'm looking for an efficient way of achieving the following, but having trouble thinking it through: Let's say I have a triangle in three dimensions with vertices A, B and C. Let's say I also have a three dimensional coordinate D. I know the x and z component values for D and I am...

hi every body show if Xn→x then lXnl→lxl hint use trangle inequality 2/ show if lXnl→0 then Xn →0 show by example that lXnl fore all n in N MAY CONVERGE and Xn may not converge

Homework Statement The question says to find a proof for Cauchy's Inequality and then the Triangle Inequality. This is an elementary linear algebra class I'm doing, so I can't use inner products or anything. Homework Equations The Attempt at a Solution I got the proofs using algebra, but I'm...

Homework Statement An object moves around a equilateral triangle with a constant speed (magnitude of velocity is constant) of 22.3 m/s. If it moves from the starting to ending point (as shown below) in a time of 12.69 seconds, what is the magnitude of the average acceleration vector in m/s2...

The area of the triangle in the attachment has to be found. It is not stated in the question what kind of a triangle it is nor are there any angles given. I believe that there is information that has been left out of the diagram to solve this question (This is a question in a maths...

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 Given:0 <= a <= b a <= Sqrt(ab) <= (a+b)/2 <= b Homework Equations The Attempt at a Solution The only problem I am having prooving this inequality is Sqrt(ab) <= (a+b)/2. I have an idea but I am not sure if it validates. can i do this.. ? (a+b)/2 - sqrt(ab) >= 0 if it is...

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...