What value represents the approximate length of x, the distance from the center of the octagon to vertex A?

Q: Write the coordinates of the vertices after a dilation with a scale factor of 1/3, centered at the…

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Q: A circle is having an area of 452 sq. m. is cut into two segments by a chord which is 6m from the…

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Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the area of the…

A: Geometrical  pyramid  Area is   150 square meter

Q: The sum of the distances from the teo foci (-5,0) and (5,0) is 12. Find the general form

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

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Q: Choose two figures which are topologically equivalent to each other 25

A: Solution :-

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

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Q: Find the length of the midsegment of this trapezoid (show all work on paper): 14 22 X =

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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: Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

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Q: In a certain isosceles right triangle, the altitude to the hypotenuse has length 4sqrt2. What is the…

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Q: What is the length of the the midsegment of a trapezoid with bases of length 17 and 21? The length…

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

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Q: What is the length of the the midsegment of a trapezoid with bases of length 19 and 23? The length…

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Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

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Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

A: SOLUTION: Let ∠DCA=θ; tanθ=18/24=3/4 AC=18^2+24^2=30 Length of crease = AC*tanθ=30*(3/4)=22.5…

Q: Generalize Exercise 42 to the case of an n-sided polygon inscribed in a circle of radius r. Express…

A: An n-sided polygon inscribed in a circle of radius r.

Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

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

A: Two figures are said to be tropologically equivalent if they can be tranformed into each other…

Q: If rectangle DEFG is dilated by a scale factor of 3 with a dilation center of (0, 0), what will be…

A: now co ordinates of D are (-2,-1) After dilation scale factor 3  centre not change  multiply by 3…

Q: Compute the areas of the polygons in Figure 28. Check your result for the area of the triangle in…

A: Consider the provided information, Find the area of the of the triangle.

Q: Find the area of the parallelogram. (Hint: Аrea (-5, 9) у-ахis base height.) (4, 5) X-axis (-5,-3)…

A: let the vertices of parallelogram are A(-5,9), B4,5, C4,-7 and D-5,-3 find the area of parallelogram…

Q: What is the height of a right circular cone having a slant height of √(10x) and a base diameter of…

A: A cone is a three-dimensional shape. The slant height of a right circular cone can be calculated…

Q: Three of the interior angles of a regular pentagon are each x. The others are each 3x. Findx.

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

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Q: Find the distance d from the origin out to the point (8, −6)

A: Given, Point say A(8,-6) and Origin O(0,0)

Q: A chord of a circle 0.65 m from the center is 1.25 meters long. What is the area of the circle?

A: Given that a length of the chord AC is 1.25 m of a circle centered at O is located in a distance…

Q: what is the maximum interior angle possible for a regular p olygon?

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

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Q: Does the perimeter of a regular octagon vary directly with the length of an edge of the octagon​?…

A: Consider   P be the perimeter of Regular octagon   and    S  is the length of each  edge

Q: Find the midpoint of the segment joining (4, −6) and (2, −6). (x, y) =?

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Q: Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the…

A: The vertices of the given triangle are Q(-1,-2)R(-2,0)S(1,1)

Q: A 50cm board leans against a wall to make a shape of a right angled triangle. What is the max…

A: To find the max perimeter of the right angled triangle.

Q: find the surface area of a regular hexagonal pyramid whose height is four times longer than the…

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Q: What kind of shape is created from the cross section seen here on the square pyramid?

A: A cross section is the shape we get when cutting straight through an object. The examples for…

Q: What is the largest absolute difference between the areas of two of the right triangles that can be…

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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: make a shape that has an area of 24in2 but has no straight edges and is not a cirlce. how do you…

A: We know that, the area of an ellipse =πr1r2 unit2. Where major axis=2r1, minor axis=2r2.

Q: What is the cross section perpendicular to the base of a cone?

A: To find the cross section perpendicular to the base of a cone

Q: How do I find the epxression for the perimeter of a rectangel with a length of x2 - x + 4 and a…

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Q: Which of the fo llowing is a point on the 4) circle whose center is (0,0) and whose radius is 5?

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Q: What is the perimeter of XYZ?

A: Given figure is

Q: What is the range of possible sizes for side x?

A: Consider the third side be x. Apply the fact that the sum of any two sides of a triangle must  be…

Q: Find volume of square revolved around y-axis given following points: (4,5), (4,1), (6,3), (2,3)

A: We need to find the volume of the solid formed when the above square revolves around the y-axis.…

Q: How do you use the midpoint distance or slope formulas to help classify polygon's on the coordinate…

A: The slope of two lines are equal when they are parallel to each other while if the product of two…

Q: Show that one arch of a cycloid generated by a circle of radius R has length 8R.

A: Arc generated by a circle of radius R can be parameterised as, x=R(t-sint), y= R(1-cost)

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

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Q: FIND THE APEA POONDED BY THE CUPVES y"=x"(4-x

A: We have to find the area bounded by the curve.

Q: Find the area of the largest trapezoid that can be inscribed in a circle of radius 1 and whose base…

A: The given circle has radius 1 and a trapezoid is inscribed inside the circle on the diameter of the…

Q: A straight wire 50 cm long is bent into the shape of an L. What is the shortest possible distance…

A: Given Data: The length of the wire is: l=50 cm   The figure below represents the bent wire.   Let,…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.