Perimeter Definition and 115 Threads

On one side, if I have any finite value of s = the side of the original triangle of the Koch snowflake iteration, then the perimeter is infinite, so intuitively On the other hand, if I looked at the end result first and considered how it got there, then intuitively (Obviously at n=infinity and...

My attempt: $$|\vec{BA} -\lambda \vec {BC}| \geq 2|\vec {BC}|$$ $$|\vec {BA}|^2 -2 \lambda (\vec {BA} \cdot \vec {BC}) +\lambda ^{2} |\vec {BC}|^2 \geq 4|\vec {BC}|^2$$ $$|\vec {BA}|^2 -2 \lambda |\vec {BA}| \cos \theta +\lambda ^{2} \geq 4$$ Am I even on the right track? Thanks

Hello, so I saw this problem on a website while looking up trigonometric identities and trying to solve it. what I know: The internal angles add up to pi Let the tangent point between A and B be X Let the tangent point between B and C be Y Let the tangent point between C and A be Z ##...

Given a bug that's walking counterclockwise around on the surface of a lazy susan (which itself is sitting on frictionless bearings), wouldn't the the friction between the bug and the lazy susan (which is needed to be able to walk) apply torque (no matter how negligible) that accelerates the...

Hi, I applied for the PSI masters program, but haven't heard back from them at all. My application status still says "in review". Anyone else in the same situation? I'm expecting a rejection, especially since I haven't been interviewed. But having no closure and feedback in such a long time is...

Hello, I am studying geometry with an app on my phone. There was a difficult problem, which had two different explanations for solving. I correctly understood one explanation. I reviewed later without memory of the problem at all. There was an obvious attempt from what was learned previously...

Find the perimeter and area of CD, if ABCE is a parallelogram and ADE is an equilateral triangle.

Let $ABC$ be an equilateral triangle and let $D,\,E$ and $F$ be the points on the sides $AB,\,BC$ and $AC$ respectively such that $AD=2,\,AF=1$ and $FC=3$. If the triangle $DEF$ has minimum possible perimeter, find $AE$.

Hey guys, I’m gathering information in order to decide which master program to apply to (or, better, which one to go for in case I get admitted to both). I have read quite a lot online but it seems people who talked about PSI took it many years ago, while it was bright new and yet adjusting...

This is a draft of my SoP that I plan to send out to the Perimeter Institute for Perimeter Scholar Program. The program is designed for a 10-month duration focusing on theoretical physics. Please give opinion and suggestions for improving my statement of Purpose. ' Motivation and Research...

Hi. Could someone please help me with this? : A rectangle has a ratio of 3:2. The area is 294 dm2. What is the perimeter?

. Homework Statement Let imagine you have gras field formed as a semi circle and you want to fence in that area. The fence is connected to a wall, so you only have to fence in the area formed by the semi-circle. You have to use 60 meters of fence bought at a hardware store. Homework...

Hello. I'm currently studying theoretical physics and planning to continue my study in theoretical physics. I know that there are two interesting places to pursue the education in this field, the International Center for Theoretical Physics (pre-PhD program), and the Perimeter Institute for...

I have been looking around for information on how to find the perimeter of an odd shape, but I can't find any explanations that seem to fit because the given shape is partially rounded. I already know the answer is 16 + 2\pi but I am unsure how they came to it. I'm guessing they get 16 from 7 +...

A sector has the following: radius = 5 inches angle = 30° I was told to use the formula in the picture. My answer is P = 10.05 inches. The book's answer is P = 12.62 inches. Am I using the right formula?

Homework Statement The radius of a circle increases from 3 to 3.01 cm. Find the approximate change in its perimeter. Here's a link to the actual question, in case you need the answer for 6(a) to solve 6(b) http://imgur.com/a/nQt6M Homework Equations Perimeter of circle = 2πr Area of circle =...

Homework Statement there is a circle with radius 9cm centred at o segment oa is 15cm ab, ca and pq are tangents to circle at points b,c and r respectively find perimeter of triangle apq Homework EquationsThe Attempt at a Solution i have solved the problem and got the right answer with two...

Given the width of a rectangle whose area is 25ft^2 is x, find the perimeter of this rectangle. Let me see. A = L•W 25 = L•x 25/x = L P = 2L + 2W P = 2(25/x) + 2x P = (50/x) + 2x Is this right? If it is right, use the inequality below to show that P ≥ 20. In the following inequality, a...

The vertices of triangle ABC are A(1, 1), B(9, 3), and C(3, 5). 1. Find the perimeter of triangle ABC. I must use the distance formula for points on the xy-plane to find all three sides. I then add all three sides. Correct? 2. Find the perimeter of the triangle that is formed by joining the...

The perimeter of the smallest rectangle that can be formed using 24 squares 1cm2 of area each is

(mentor note: posted in a non-homework forum hence no template) Hello! I have a problem I'm trying to solve. I'm transforming a circle with known radius. Knowing it's radius i can calculate the circumference. I transform it by squeezing one side, leveling it, creating a circle segment with a...

Homework Statement Gelfand - Algebra p.115 problem 264: Prove that a square has the minimum perimeter of all rectangles having the same area. Hint. Use the result of the preceding problem. Homework Equations Preceding problem: Prove that a square has the maximum area of all rectangles having...

The vertices of Triangle ABC are A(1, 1), B(9, 3), and C(3, 5). Find the perimeter of Triangle ABC. I need to find the distance of AB, BC, and AC. I then must add all three distances to find the perimeter. Correct?

The length of a rug is eight times greater then the width. if the width of the rug is (w+5), what is the ratio of the area of the rug to the perimeter of the rug in simplest form?

Homework Statement A small object with mass m is dragged without friction to the highest point of a semicircle with a radius of R, by a weightless rope. a) If the magnitude of his velocity is constant, then his acceleration that is parallel to the semicircle, is zero. Prove that F = mgcosθ...

1. Homework Statement calculate the area and perimeter of 2 rectangles(two objetcs and one builder), print the sides, area and perimeter, the function printrectangle must identify which side belongs to base and height... the teacher suggest this in private: float side1 float side2 and this in...

Hi, has anyone applied to Perimeter Institute 2016 Undergraduate summer program? I just wonder how competitive this program is.

a trapezoid $ABCD,$ with $\overline {AD}// \overline {BC}, \overline {AB}=\overline {CD}$, and diagonal $\overline {AC}=15=\overline {BD}$ if R is its maximum area ,please find : (1)R (2)find its minimum perimeter P

Write the following formulas: a) The minimum perimeter of any triangle (abc) only known heights corresponding to the sides a and b. b) The maximum height and minimum corresponding to the side b of any triangle (abc) only known the value of its perimeter and height corresponding to the side a.

Calculate the area of a triangle knowing its perimeter and 2 heights perimeter = 30 m ha = 8 m hb = 9 mNOTE = You can use the online triangle calculator TrianCal to see and draw the results. NOTE = Do not use the values ??of responses. A) 41.29 m2 B) 42.93 m2 or 36.28 m2 C) 42.95 m2 or 36.29...

That value has to have one side of a triangle to be isosceles knowing its perimeter and area. Area = 40 m2 Perimeter = 30m NOTE = You can use the online triangle calculator TrianCal to see and draw the results. NOTE = Do not use the values ??of responses. A) 13.33 m B) 19.18 m or 4.54 m C)...

Calculate the sides of a triangle knowing its area, perimeter and angle A. Area = 30 m2 Perimeter = 30m Angle A = 30º NOTE = You can use the online triangle calculator TrianCal to see and draw the results. NOTE = Do not use the values ??of responses. A) 6.09, 9.36 and 14.55 B) 7.40, 8.63 and...

So the formula for an ellipse in polar coordinates is r(θ) = p/(1+εcos(θ)). By evaluating L = ∫r(θ) dθ on the complex plane on a circle of circumference ε on the centered at the origin I obtained the equation L = (2π)/√(1-ε^2). Why then does Wikipedia say that the formula for the perimeter is...

I'm watching some of the course video of the Perimeter International Scholar, and the professor always mention the wiki that their students can assess. Is there any way that I can assess too? I really want to read some of the lecture notes and tutorial. Thank you!

Obtain -The maximum height corresponding to the side b of any triangle (abc) once known the value of its perimeter and height corresponding to the a side a. -The minimum perimeter of any triangle (abc) once known the heights corresponding to the a and b sides. Aux: Geogebra construction...

Hey, I am from UC Berkeley. I wonder if anyone here has applied to perimeter institute's 2015 summer program. I've applied but haven't heard back from them yet. I wonder if anybody here has got a reply.

Homework Statement Consider a square of side length 1. Two points are chosen independently at random such that one is on the perimeter while the other is inside the square. Find the probability that the straight-line distance between the two points is at most 0.5. 2. The attempt at a solution...

Homework Statement [/B] Hello! I have this question which I don't quite know how to solve... ABC is an equilateral triangle - the length of its sides equal to (a). DE is parallel to BC 1. What length should DE be to achieve the largest possible area of triangle BDE? 2. What length should DE...

this is the given problem: and this is my attempt at a solution: I am stuck here as the variable y is unknown and I want to express y in terms of x, but cannot figure out how to do so. Thanks for any help!

Hi, I can do basic quadratics but don't know how to apply them to the following problems: The perimeter of a rectangle is 34cm. Given that the diagonal is of length 13cm and the width is \(x \)cm, derive the equation \(x^2-17x+60=0\). hence find the dimensions of the rectangle. (My first go...

Hello . I am in the end of my exams and i have to do a geometry figure like a pyramid ( view image ) below Now i should find the Perimeter, Volume and Surface of this figure . Lengths are all 5 cm, Can somebody find and write the Permiter,volume and surface for this figure please it's urgent...

Problem: Let $0<a<b$ i)Show that amongst the triangles with base $a$ and perimeter $a+b$, the maximum area is obtained when the other two sides have equal length $b/2$. ii)Using the result (i) or otherwise show that amongst the quadrilateral of given perimeter, the square has maximum area...

8) An isosceles triangle has two sides of length 9x+3. The perimeter of the triangle is 30x+10 a) Determine the ratio of the base to the perimeter, in simplified form. State the restriction on x Thanks for your help!

Homework Statement So I have been taught that the wetted perimeter is the perimeter in which the surface is wet. So in the case for internal forced convection of a thick wall pipe I would have thought the perimeter would be 2*pi*r where r is the inner radius of the pipe. However, doing a bit...

I'm considering both the MSc in Quantum Fields and Fundamental Forces at Imperial and the Perimeter Scholars International program at Perimeter. I do not currently live in the UK or Canada (or even Europe or North America...) I want to continue to a PhD, possibly at the same place I did my...

The two shortest sides of a right-angled triangle, $a$ and $b$ satisfy the inequality \sqrt{a^2-6a\sqrt{2}+19}+\sqrt{b^2-4b\sqrt{3}+16}\le3. Find the perimeter of this triangle.

Here is the question: I have posted a link there to this topic so the OP can see my work.

oops I meant "Rate of change of area of a square with respect to its side length" Ok I have to use this annoying Stewart textbook for my Calc class in college. Most of the questions require what I like to call "Monkey Math," where you just memorize a set of steps and then follow them rigidly...

While reading through Kogut's lattice gauge theory introduction he goes through the area and perimeter laws for lattice gauge models. The result is something like this \left\langle \prod _{l\in C}\sigma_{3}(l) \right\rangle \sim \exp(-P) for low temperature, and \left\langle \prod...