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A: NOTE: Refresh your page if you can't see any equations. . w=width and l=length the width-to-length…
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Q: If the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm.…
A: Let the length of the sides of the triangle are 3x, 5x, 7x Therefore the perimeter is 3x+5x+7x=15x…
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Q: Find the ratio in which the point p whose abscissa is 3 divides the join of A(6, 5) and B(-1, 4) and…
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Q: 2. Find the dihedral angle formed by any two adjacent faces, the total area and the volume of a…
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Q: 6. The area of a rhombus is 143 m?. If the longer diagonal is 26m finc the shorter diagonal in…
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Q: wo cubes have sides of length 4 cm and 5 cm. What is the ratio of the respective surface areas
A: Given that: Size of 1st cube=4cmSize of 2nd cube=5cm
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Q: 1) The diagonal of a square is 5/2 ft, find the area of the square.
A: We know that all four side of the square is equal. Area of the square is the square of the length of…
Q: A wire is looped in the form of a circle of radius of 28cm. it is re-bent into a square form…
A: Given that a wire is looped in the form of a circle of radius of 28cm. It is re-bent into a square…
Q: 4. The perimeter of a triangular plot is 360 m and its sides are in the ratio 10: 12: 14. Find the…
A: As per bartleby guidelines we only give first question answer.
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Q: The perimeter of an equilateral triangle is 6. Find the length of the apothem AND the area of the…
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Q: The sides of a polygon are 3, 5, 4, 7, 10 inches. Find the sides of a similar polygon if the ratio…
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Q: A triangle on the coordinate plane is dilated by a factor of 3. What is the ratio of the pre-image…
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Q: The areas of two circles are 36π and 64π diameters? What is the ratio of theof the circumferences?
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Q: A decagon is circumscribing a circle with a radius of 12 in. What is the length of the side of…
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Q: A circle circumscribes a right triangle. The area of triangle is 43.23 and t the circle is 18. If…
A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…
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Q: 4x°, The measuges of the exterior angles of a quadrilateral are 2x °, 8x°, and 10x°. Find the…
A: Measure of the smallest exterior angle
Q: Two similar polygons have perimeters in the ratio 3:5. Find the side in the second polygon…
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Q: 7. Two hexagons are similar and the ratio of each pair of corresponding sides is 3:5 What is the…
A: Given that: Ratio of sides of two regular hexagon=3:5
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A: As we know, by the property of parallelogram that the measure of opposite angles is same. So, ∠A =…
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Q: The hypotenuse of a 30 - 60 - 90 triangle is 13 cm. What is the area of this triangle in cm2?
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Q: A triangle is equilateral if it has three equal sides. The triangle in the figure is equilateral…
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Q: An isosceles triangle has a perimeter of 17cm if the the hypotenuse is 7 cm . Find the length of the…
A: Iscoceles triangle means that both sides are equal
Q: A diagonal of a parallelogram makes angles of 32o and 43o respectively with the sides.If the…
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Q: An equilateral triangle has an altitude of 6cm.
A: Altitude of an equilateral triangle is given by :l=32awhere a = length of side
Q: 10) Find the area of the rhombus if the perimeter is 20cm and one diagonal is 8cm. Area =
A: Area of a rhombus is given by- A=12d1d2 where d1,d2 are the diagonals of rhombus Given- Perimeter of…
Q: The ratio of the areas of two right triangles is . If the length of the hypotenuse of the larger…
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Q: The altitude drawn to the base of an isoceles triangle s 8 cm and the perimeter is 32 cm . Find the…
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Q: The ancient Greeks considered the Golden Rectangle to be the most aesthetically pleasing of all…
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Q: The length of the diagonal of a regular hexagon is 48 in. Find the area of the circle inscribed in…
A: Given that, Length of the diagonal of a regular hexagon is 48 in. Thus, length of the side is given…
Q: Two similar rectangles have diagonals of 6/3 and 9. Find the ratio of their perimeters and the ratio…
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Q: 1. Katherine and Adam need a rug for their living room. They have purchased a rectangular rug that…
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Q: An isosceles triangle has sides that are 5 cm, 5 cm,and 8 cm long. Find its area and the lengths of…
A: The half perimeter= S=5+5+82=182=9 Using Heron's formula the area is:…
Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…
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Q: The ratio of width to height of a golden rectangle is given by the golden ratio, which is…
A: First we set the ratio to find the width.THen we do cross multiplication to get rid of fraction .
Deltoid with sides’ length of 1 and 2 is inscribed into a
greater to the shorter diagonal is?
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- a) A region is called “positively invariant” if solutions in thatregion stay in that region as time increases. Which regions of your plot arepositively invariant? b) Use your answers to the previous parts (NOT the linearizationtheorem) to classify each equilibria as a source, a sink, a saddle, or noneof the above. c) describe the long-term behavior of everysolution in the plane. You should explain what can happen as t → ∞ andqualitatively describe which solutions have each behavior.1. using the diagonal, minors & cofactors, and pivotal method.Numerical Optimization: prove that when the KTT and LICQ conditions are satisfied at x*, the lagrange multiplier in the ktt conditions is unique.
- Use Lagrange multiplier method to find both the maximum and minimum values of the function f(x,y)=2x^2+y^2+2, where x and y lie on the ellipse given by g(x,y)=x^2+4y^2-4=0. Include the system of equations and steps taken to solve the system. Also include the points in the domain (x,y) where the maximun and minimum value occur. Thanks!Use Lagrange multiplier method to find both the maximum and minimum values of the function f(x,y)=2x^2+y^2+2, where x and y lie on the ellipse given by g(x,y)=x^2+4y^2-4=0. Include the system of equations and steps taken to solve the system. Also include the points in the domain (x,y) where the max and min value occur. Thanks!The long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…