Prove that, among all rectangles with a fixed perimeter a square has the largest area.

Q: The triangle that has vertices at M(-4, 0), N(3, – 1), and Q(2, 4) has been boxed in as shown. Find…

A: Given the vertices of triangle M(-4,0) , N(3,-1) and Q(2,4). We need to find the area of the…

Q: Use induction to prove that the number of elements in any SList of depth p is 2P.

A: We have to prove that the number of elements in any SList of depth p is . Notice that the…

Q: A two-column proof can be used to demonstrate that a diagonal splits a parallelogram into two…

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Q: Suppose that circles of equal diameters are packed in n rows in equilateral triangle in  n rows if A…

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Q: Find the area of a triangle formed by the points (8, – 5), – 7) and (5, 1) by using Herones formula…

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Q: Of all rectangles with given area, A, which has the shortest diagonals? A rectangle with area A has…

A: Dimention are : A×A

Q: Use the tabular method to to prove the following in general 1. (ANB) C (AUB) 2. ΑΔΒ = ΒΔΑ.

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Q: Let (5, – 2, – 5), ( – 9, 5, 9), (4, – 2, 4), and (4, 6, – 1) be four points in R'. Find the volume…

A: It is known that the volume of a tetrahedron with four vertices A, B, C and D in ℝ3 is…

Q: Show that if n > R(6,6) and we partition the edges of the complete to 4 pieces then one of the…

A: According to the given information, it is required to show that:

Q: Which set(s) of tiles could be used to make a perfect square?

A: We have to choose

Q: 3. Prove that sinOtcos=1.

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Q: Hiw- prove that %3D

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Q: 2. Prove that there are no rectangles in S2. More precisely, prove that if A, B, C, D E S² form a…

A: Given: ∠A=∠B=∠C=∠D=π2

Q: prove that div A マ - Kr

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Q: Let Q be the quadrilateral with vertices (−2, 3), (1, 4), (3, 0), and (−1, −3). Find the area of Q.

A: Given that, Q be the quadrilateral whose vertices are −2, 3), (1, 4), (3, 0), and (−1, −3). To find:…

Q: Prove that that any Sume with TH Convex Polyhedron has two faces of edges number

A: Let F be the face with greatest number of edges ,suppose n. There will be exactly 'n' other polygons…

Q: 3. By using minimal spanning method, connect this 10 areas & indicate total needed 7 5 5 5 3 3 2 7 6…

A: Use minimal spanning tree method to find the minimum spanning tree of the given graph. Let us start…

Q: Complete a two-column proof. Given: ZRSU VST Prove: ZRSV LUST

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Q: The segment addition postulate only works when the segments in question are collinear. O True O…

A: Let's find.

Q: 63. Prove that the rectangle with the largest possible areagiven a fixed perimeter P is always a…

A: Let the length and breadth  of rectangles be x and y units…

Q: le perimeter of quad

A:

Q: Which is the possible length of the base of a parallelogram if the area is given by

A: Given: Area of Parallelogram=20x5-23x4-41x3+35x2+40x-70Height of Parallelogram=4x-7 To Find: Length…

Q: Prove that if A is skew-symmetric matrir, Q = et is orthogonal.

A: c) To prove:- If A is skew-symmetric matrix , Q=eAt is orthogonal. Proof:- Ais skew-symmetric matrix…

Q: 2. Show that if x and y are perfect squares (that is, x = m? and y = n2, where m and n are…

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Q: Evaluate by interpreting in terms of areas: 64 – z? =) dz 4+

A: evaluate the following

Q: Is there a km. lenRit 3 Why 3 kM. X4-2x If there is a konft prove 9t by using the (E-8) defnti9on of…

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Q: An equilateral triangular field has sides equal to 2m each. If the field is divided into two equal…

A: An equilateral triangular field has sides equals to 2m each. If the field is divided into two equal…

Q: we need to find for and poove foinmmulas and This question is based on Secosd and umbers. of…

A:

Q: Show that of all n-gons having the same perimeter, the regular n-gon has the greatest area.

A: All n-gons having the same perimeter

Q: Prove that 8. V57 lies on the unit circle. 8.

A: The unit circle is the circle of radius 1 centered at the origin (0, 0). The equation of a unit…

Q: Prove that the area of a square whose diagonal has length d is A = A = 1/2d². A square with a…

A: A square has diagonal length of d, we have to find its area.

Q: Find a method that can produce infinitely many triples (a, b, c) with no common factors such that a…

A: To find - Find a method that can produce infinitely many triples (a, b, c) with no common factors…

Q: Evaluate Prove that there are exactly three right-angled triangles whose sides are integers while…

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Q: Prove Haat 12=IN

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5.58 Show that: (a) a parallelogram with given side lengths has the largest area if it is a…

A: a parallelogram with given side lengths has the largest area if it is a rectangle

Q: 11. Square ABCD with verlices 4-1, 3), B(O, 6), q3, 5), and D(2, 2): yx A B. D:

A: We have to find the reflection

Q: 2. Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if…

A: Given: Rectangle inscribed inside an isosceles triangle. One side of the rectangle lies on the base…

Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: 9) suppose that horx)=1, f,(x)=x ond dz(X) Prove that Ba(f, - where Ba is a Bernyterh Polymomial.

A: Given functions are f0(x)=1, f1(x)=x and f2(x)=x2 Since Bernstein polynomial is…

Q: Show that if ƒ′′> 0 throughout an interval [a, b], then ƒ′ has at most one zero in [a, b] . What…

A: Given:

Q: Show that the equadion Can also be obtaind from the fellowing squation 4(一 20 where and

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: Suppose that an open box is to be made from a square shest of cardboard by cutting out squares from…

A: The box that has been made is in the shape of a cuboid. Volume of cuboid (V) is given as  V=l*b*h…

Q: 5. Prove that the diagonals of any parallelogram divide the parallelogram into 4 triangles of equal…

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Q: 1. Use calculus to find the area of the polygon with vertices (1, 1), (4, 0), (7, 1), and (7,2).

A:

Q: 1. What is the length of a diagonal of rectangle EFGH?

A: Given,            A rectangle EFGH is shown below :

Q: 8. What additional piece is needed to prove ABCD is a square

A: Given, A parallelogram ABCD  with AB = 5  We have to find the additional information required for to…

Q: Are they congruent? If they are what are the corresponding parts and theorem? If they are not can…

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Q: Which theorem can be used to prove that ΔROM ΔΡΜΟ M P.

A: We can answer the question as below