Given the right triangle shown, if x + y = 10, what formula will maximize the area of the triangle? O A= ¥피(10 + z) O A=¿r(5– 2) O A= (5+x)

Q: A rectangle is to be inscribed in a semicircle with radius 3.4 with one side on the semicircle's…

A: According to question.Given,Radius of semicircle = 3.4 unit

Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

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Q: 5.a. Suppose a wire 20 cm long is to be cut into two pieces, each of which will be formed into a…

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Q: a. A rectangular pen is built with one side against a barn. If 2200 m of fencing are used for the…

A: a)find the dimensions maximize the area of the pen

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: A Norman window has the shape of a rectangle surmounted by a semicircle. This implies that the…

Q: a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the…

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

Q: a. A rectangular pen is built with one side against a barn. If 1500 m of fencing are used for the…

A: a. Let the dimensions of the pen be x m and y m.  Now, the length of the perimeter to be covered by…

Q: Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the…

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: Given: A Norman window has the shape of a rectangle with a semicircle on top where the diameter of…

Q: . A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: l+2w=1400; l=1400-2w; l=2(700-w); are=lw ; so, lw=2(700-w)w =(1400w-2w^2);  to maximize,…

Q: Topic 3: Take a square sheet of paper of side 10 cm. Four small squares are to be cut from the…

A: Given: Length of side of square sheet=10 cm. The four small squares are to be cut from the corners…

Q: A rancher wants to build a rectangular corral for his horses. He also wants to split the corral into…

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Q: A wire 7 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a…

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Q: A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is…

A: The area and circumference of the circle is πr2, 2πr respectively, where r is the radius of the…

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

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Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: This question is based on the Applications of derivative : maxima and minima

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: Solutions

Q: a. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the…

A: a) Let x represents the width of the pen and y represents the length of the pen. Given that, the…

Q: e) A farmer wishes to enclose three pens with fencing, as shown. If the farmer has 700 feet of…

A: 700 feet of fencing to work .

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: Given: x feet is the width of the rectangular part of the window. Perimeter of the window =8 feet.…

Q: Two sides of a triangle have lengths a and b, and the angle between them is u. What value of u will…

A: we know that when two sides of triangle is x and y given and angle between them is θ then area ∆of…

Q: ner decides to endose a rectangular garden, using 100 ft of fencing. What dimensions will maximize…

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Q: a rectanglar garden must be constructed so that the width is 150ft. what are the possible values for…

A: For a rectangle whose length is ‘l’ and width is ‘b’ the perimeter ‘p’ is given by the formula.

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 pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the figure. II the…

A: The given a pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the…

Q: 13. A rectangular dog pen of 800 sq. feet is to be constructed as shown. The cost is $5 per running…

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Q: a. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the…

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Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 8…

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Q: Scenario: The Westbury family is building a rectangular pool and wants to lay 1 ft x 1 ft tiles…

A: The maximum length of their backyard is 22 ft. So the tile and the pool length together can maximum…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: Given that, the perimeter of the window is 32 feet. Therefore, the equation becomes,…

Q: Suppose that 259 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given, Perimeter of corral = 259 ft Then, x+2y+2πx22=259y=259-x-πx22            ... (1)

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: solution is given below.

Q: Bill is constructing a rectangular corral in his yard. He only has 32 ft of fencing material and…

A: Bill is constructing a rectangular corral in his yard and he has only 32 ft of fencing material. We…

Q: The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown angles…

A: use right angle triangle concept  pythagorean triplet use concept of maxima minima  permeter of…

Q: You’re building five identical pens adjacent to each other with a total area of 1000 m^2, as shown…

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Q: 2 ends

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Q: A farmer wants to fence an area of 600 square feet in a rectangular field and then divide it in half…

A: Given that, A farmer wants to fence an area of 600 square feet in a rectangular field. After that,…

Q: What are the dimensions of a rectangle that will maximize the area given its imeter is 100 units?

A: Given: Perimeter of rectangle is 100 units   To Find: Dimensions of a rectangle that will maximize…

Q: An isosceles triangle has a perimeter of 30cm. What is the length of the base if its area is to be…

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Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: Earrings can be made of the form isosceles triangle. ie., two adjecents sides are equal. Base of the…

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

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Q: If the width of a rectangle is 2cm more than one-half of its length and its perimeter is 40 cm, what…

A: Let the length of the rectangle be x. And The width of the rectangle be y.

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A:

Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

Q: Q.1: The length of rectangular piece of paper exceeds its breadth by 5cm. If a strip of 0.5cm wide…

A: The area of a rectangle is equal to the product of its length and breadth. Let the length and the…

Q: A Norman window has the shape of a rectangle surmountedby a semicircle. (Thus the diameter of the…

A: A Norman window has the shape of a rectangle surmountedby a semicircle. Let length of rectangle =2y…

Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

A: Let, x denotes the half width of the rectangle.y denotes the height of the rectangle.And…

Q: a. A rectangular pen is built with one side against a barn. If 1200 m of fencing are used for the…

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