A semi-circle of radius r is centred on the origin and has an inscribed rectangle. Find an expression for the perimeter of the rectangle, P(x), in terms of x and r only, if the upper right corner of the rectangle is at (x,y)

Q: straightedge, marks.] In the diagram below, radius OA is drawn in circle O. Using a compass…

A: To draw a tangent as required.

Q: 43. Scott built a concrete patio in his backyard. It is a free-form shape and he needs to find the…

A: We have to find the approximate area of the patio.

Q: What is the formula for cos2a

A: What is the formula for cos2a

Q: Consider the curve implicitly defined by: xey - y² = -3. i. Show using implicit differentiation that…

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Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

A: When two vectors are normal to each other then their dot product is zero.

Q: 7. A diameter of a circle has endpoints P(-7,-4) and Q (3,2). a. Find the center of the circle b.…

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Q: 2 Sum of int. Zs m22= Sum of ext. Zs m26= 16

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Q: A point estimate is a single numerical value used to estimate the corresponding population parameter…

A: We have to state true or false.

Q: 8.) The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 25 cm…

A: As we know that the for a right angle triangle Hypotenus2=Base2+Height2

Q: 13. Find the distance between points (5, 9) and (0, 11). Round your answer to the nearest hundredth.…

A: d = 5.38 unit

Q: What is the value of a? 12 5 4 A. 12 B. 15 C. 17.25 D. 21.25 a

A: Given query is to find the value of a.

Q: a. If p=√q=ra and pqr = 1, show that, x + y + z = 0.

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Q: The total height of the triangle of the circular cone is 1.50m, find the HS and the r of the…

A: Concept: The similarity of triangles: The triangles of the same shape but need not be of the same…

Q: 6. In circle O, BC = 13 and DC = 24. The diagram is not drawn to scale. What is the length of…

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Q: ZOL

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Q: 1. 42° X 11 31°

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Q: How may chords are there in the figure? [2] 8 (6 4 07 5 A X 180-X R O B

A: We can determine the number of chords in the following steps.

Q: A soup can has a volume of 367 in³ and a height of 4 in. What is the area for the label needed to…

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Q: oil

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Q: Given: BX=6; AX-8; CX-9; DX=12 Prove: AB|| CD D B X A C

A: Given problem:-

Q: The coordinates of the vertices of a triangle are K(-6, 1), R, (5, 0), and S(-2, -3). Find the…

A: The question can be solved using the concept of distance formula.

Q: Calculate the area of the segment cut from the curve y = x(3-z) by the line y = x. 2 sq. units 1 and…

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Q: 3. Solve the triangle given below B B 10 55° C α 12 A C ● Based on the length of the sides opposite…

A: Application of triangle geometry

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

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Q: A triangular region is defined by the following system of linear inequalities: y≤ 2x + 5 y≤ -2x + 9…

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Q: Third Problem: 4 PAL, Angle A = 90°, Angle P = 45°, Angle L = 45°. Line Segment PL = 15 centimeters,…

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Q: 17 What are all the solutions of the equation x³ = 4? 64 A) X= 1 B x= ± 1/1 cx = -1/1 D x = ±/1/1…

A: In given problem we have to find out cube root of (1/64) .

Q: 9) Find the area of this regular nonagon if it has a perimeter of 180 f Round your answer to the…

A: We have to find the area of polygon

Q: An 8 foot ladder is used to scale a 6 foot wall. At what angle of elevation must the ladder be…

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Q: 82. 80. 5 10 8 15 | 091 W 18 6 81. 83. 21 6 14 14 10 X i 8 r 8 inbey nop 80. W=_ 81. r= 82. t= 83.…

A: According to the company rule we can answer only first three sub parts and rest can be reposted.

Q: ompute the difference between the perimeters of regular pentagon and regular hexagon if the area of…

A: Area of regular hexagon

Q: 2. Cylinder M has a height of 3 inches and a volume of 487 inches³. Cylinder P has the same height…

A: We have to m cylinder to the p cylinder

Q: 2. ACAN~ADOT. If CA = 2y 2, AN = 20, DO = 9, OT = 3, how long is CA? A. 20 B. 21 c. 31 D. 60

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Q: Find the value of x. X 80 5 2

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Q: what is the 2 missing angle

A: As shown in diagram, Let ABCD is quadrilateral.

Q: Each figure is a regular polygon. exterior angles, and one of the exte 6. 7. 5 Sum of int. Zs m/1=…

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Q: Let C be the curve of intersection of the paraboloid x² + y² = z and the cylinder (a) Determine the…

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Q: 4. b 55° a 154° 55° a a = 138° b= d = C =__________ 6. The measure of the angles of a hexagon have…

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Q: 5 7.3 cm 4 cm 1 1 1 4 cm

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Q: mean absolute deviation Name: Block: comsh Carolina works at a museum. She is looking online for a…

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Q: Prism/Pyramid (Object 1) Object 2: 3-D Shape: Dimensions: I Base Area Calculations: Base of Object…

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Q: Given circle E with diameter CD and radius EA. AB is tangent to E at A. If 21 and EA = 12, solve for…

A: The radius in a circle is constant. The tangent to a circle can only be drawn at a single point on…

Q: b) An object located at a point P is moved through the vector (1 2 4). If the finishing point of the…

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Q: 810 m 150 39 30 33 30 720m

A: Solution of the problem as follows

Q: The function g(n) = n2 − 6n + 16 represents a parabola. Part A: Rewrite the function in vertex form…

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Q: 2. Find the perimeter and area of the following: a. 50 cm 1.2 m 1.5 m

A: From given figure

Q: Contruct a triangle with a side length 10.5 cm , an angle 49 degrees and an angle of 86 degrees

A: First draw a line segment of length  10.5 cm.

Q: In ⊙Q, DE = FG. Which must be true? Select all that apply.   A. DE¯¯¯¯¯¯¯¯DE¯ ≅ FG¯¯¯¯¯¯¯¯FG¯…

A: option E is correct .

Q: Figure is not drawn to scale. 9 cm 12 cm 17 cm 7 cm What is the surface area of the prism? cm²

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Q: The area of the ellipse of b? 2 + = 1 is 32π. If a=2b, what is the value b2

A: Given that the standard question of ellipse and area of the ellipse is 32(pai) where a=2b  To find…