Generalize Exercise 42 to the case of an n-sided polygon inscribed in a circle of radius r. Express the perimeter P in terms of n and r.

Q: show that the rectaugle that has mancimum Qree for given PerimeTer is e sequare. in

A: Consider the provided question, We need to prove that the rectangle that has maximum area for a…

Q: What is the area of circle M if AM = 2x +2 and MT = 5x - 4? Leave T in the answer. 2x+2 M 5x-4 T.

A: Area of circle

Q: 2. Explain why Corollary 2 is true. That is, explain how the fact that MXN is a semicircle leads to…

A: We have given information that MXN⏜ is a semicircle so,  MN is the diameter  given figure is

Q: A Norman window, consisting of a semicircle surmounting a rectangle, has a fixed perimeter P. Find…

A:

Q: what is the length of r(t) = (2cost, 2sint) [0, 21] %3D on

A: The solution is given below in the next step:

Q: Determine whether the following statements is true or false, and explain why. In the trapezoidal…

A: The given expression is In the trapezoidal rule, the number of subintervals must be even.

Q: Find the perimeter of isosceles ACAT if M and W are midpoints. 3x 2х + 2 M y – 2 2y T.

A:

Q: 5.2 3.9. N.

A: to find:- perimeter (p).

Q: rectangu onstruded using stone Mll c e e pre- extstige - existine ire Jencyp for the one side and

A: The sum of the fence on 3 sides is 100 m. Let the width of the rectangle be x m. The length of the…

Q: Find the smallest possible area of an isosceles triangle thatis circumscribed about a circle of…

A: To Find: The Smallest Possible area of an isosceles triangle that is circumscribed about a circle of…

Q: J (1,4) M(-1, 2) К(3,2) L (1, – 3)

A:

Q: O is the center of the regular dodecagon below. Find its perimeter. Round to the nearest tenth if…

A: Given problem:-

Q: What is the length of the the midsegment of a trapezoid with bases of length 16 and 26? The length…

A:

Q: In this exercise, we are finding the perimeter of a Sierpinski gasket. (By "perimeter," we mean the…

A: We draw the Sierpinski gasket using the given steps of constructions for few iterations.   Draw an…

Q: What is the area of the largest rectangle that can fit inside of a circle of radius R?

A: Let x and y be the length of ABCD that can be fit inside a circle of radius R  Then AB=x and BC=y…

Q: What is the approximate space inside of the square-based pyramid below?

A:

Q: TRUE OR FALSE: The perimeter of an isosceles trapezoid can be calculated even if the only given are…

A: We have to consider the given statement is true or false according to the given condition

Q: Since Dr. Jones is a mathematician, she suggests building fences described by y = 8a? and y = a2 +…

A: We will find the area

Q: 7) 12

A: A hexagon can be divided into 6 equilateral triangles with sides of length 12 and angles of 60°. The…

Q: 3. In the circle below, what is the measure of meSAY if DSY is a semi-circle and MZSAD=700?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: 4.Prove that the circumference of a circle with radius =2a is 4na by using the formula for the…

A:

Q: Determine whether each of the following statements is true or false, and explain why.:In the…

A: In trapezoidal rule, the length of the subinterval is obtained using the formula ∆x=b-an where n is…

Q: ind the dimensions of the rectangle of largest area that can be inscribed in a circle of radius

A: We will create a rectangle inside the circle and find the length and breadth

Q: What value represents the approximate length of x, the distance from the center of the octagon to…

A: Answer is mentioned below

Q: selved by Vaxiation of Parmetes methal +5y = 2. 2.

A:

Q: In ATUV, ZT = LU. a) If VT = 7.6 inches and TU = 4.3 inches, find VU. b) If VT = 4x + 1, TU = 2x,…

A: Given data: The length of VT=7.6 in. The length of TU=4.3 in. ∠T=∠U The objective is to find the…

Q: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

A: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

Q: Choose two figures which are topologically equivalent to each other 20 L.

A:

Q: Drive the frenet frame ,curvature and torsion of binomial indicatrix of hypocycloid

A: We need to Derive the frenet frame, curvature and torsion of binomial indicatrix of hypocycloid

Q: Theorem 78 states that if the radius of a circle is r, its area is πr2. true or false

A: In the statement, it is asked if the area of circle is ∏r2

Q: C. Given isosceles trapezoid ABCD with segments DA If AC=x+5 and DB=3x+3, what is AC?

A: Topic = Geometry AC = 6

Q: Show that among regular polygons having the same perimeter, the area increases with the number of…

A:

Q: Find the dimension of the following shape so that total area enclosed is as large as possible, given…

A: Given the perimeter of the figure below is 120 inches.  To find the largest area possible.

Q: 8. Find the exact perimeter and area of the segment shown, given that mz0 60° and OA %3D %3D 12 in.

A: Please see the below picture for detailed solution.

Q: What is the area of circle M if AM =2x +2 and MT = 5x-4? Leave T in the answer. %3D A 2x+2 5x-4 T

A:

Q: Figure FGHIJK is a regular hexagon. Segment FK is located at F (1, 2) and K (4, 2). What is the…

A: To determine the perimeter of the hexagon.

Q: Prove that the area of a square whose diagonal has length d is A = ¿d?.

A: The length of the diagonal of a square is d. Now let a be the length of the side of a square. Now…

Q: ABCD is a quadrilateral inscribed in a circle. The tangents at A, B, C, D form a quadrilateral PQRS.…

A:

Q: Find the area of a rhombus with side 17 and longer diagonal 30

A: The rhombus is a quadrilateral whose opposite sides are equal and opposite angles are equal. All the…

Q: Use the trapezoidal rule with n = 2 to estimate - dz. Hint 1 Set Ar = -. The endpoints of the…

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2 f(x0) +2 fx1 + 2fx2+...+2fxn-1+fxn ; where ∆x = b-an.

Q: Show that the two triangles are congruent using a flowchart. Remember to justify your conclusion by…

A: We have to prove congruency of triangle

Q: What is the perimeter of XYZ?

A: Given figure is

Q: 20. What is the exact perimeter of kite UVWX? Show your work. V 3 6/ W

A:

Q: The quadrilaterals ABCD and PORS are similar. Find the length x of QR.

A:

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Prove the area of a rhombus is one-half the product of the lengths of the diagonals.

A: To prove the area formula for a Rhombus

Q: The diagonals of square DEFG intersect at point H. What is the measure of ZGHF?

A: The diagonals of a square are perpendicular bisectors of each other. That means, they intersect each…

Q: Consider the trapezoid. (2x +2) units (3x- 1) units 4 units (2x+5) units What is the perimeter of…

A: Given data: The first given length is a=(2x+5) units. The second given length is b= 4 units. The…

Q: Assuming that the (square) base of this building has a side length of 646 feet and that the pyramid…

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