The legs of a right triangle are x and y. Find the equation that will maximize the area of the triangle given that 2x + y = 16? Given y = Vx , find the closest point to (,0)?

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Q: A rectangular corral of 160 square meters is to be fenced off and then divided by a fence into two…

A: Let ,  Length of fence that divides the two corrals = a Length of a side oc the fence perpendicular…

Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length? *

A: Let the Length of the rectangle be:  x Let the Width of the rectangle be: y It is given that the…

Q: A piece of wire of length L is to be cut into two pieces, one piece to form a square and the other…

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

A: The following solution is given below:

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A: According to given,    Let x be length of the portion that is bent into a circle   Therefore, 4-x=…

Q: A class is having their picture taken. The photographer positions himself 21 feet from the center of…

A: Let positions of:--Photographs be 'p'-centre of row of students→'c'-last student→'x'xcz is Row…

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. 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 farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then divide…

A: Given query is to find the way of fency to minimize the cost.

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 wire 16 feet long has to be formed into a rectangle. What dimensions should the rectangle have to…

A: Given: Length of the wire = 16 feet Assumptions: Let x, y be the length and width of the rectangle…

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 rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length?

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Q: 10. Jason has 152 meters of fencing that he wants to enclose a rectangular plot that borders on a…

A: Given: Jason has 152 meters of fencing that he wants to enclose a rectangular plot that borders on a…

Q: where should the point P be chosen on the line segment AB so as to maximize the angle theta

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Q: A farmer has 500 ft of fence for constructing a rectangular corral. One side of the corral will be…

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Q: Three line segments AC, AB and BD shown in the figure have the lengths of 2, 3 and 5, respectively.…

A: Given: Three line segments AC, AB, and BD showed in the figure have the lengths of 2, 3, and 5,…

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: = 5x? and the point (4, 1. Find the formula that should be used to minimize the distance between 3)?

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Q: A right triangle has legs of lengths x and 2x + 2 and a hypotenuse of length 2x + 3. What are the…

A: Given, a right triangle has legs of length x and 2x+2 and hypotenuse of length 2x+3

Q: Hi, I am wondering how to do the work for this problem and what the final answer would be. Thank you

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Q: rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along…

A:

Q: If the maximum horizontal range of a particle is R, show that the greatest height attained is R. A…

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Q: a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3. what are the…

A: Given that  a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3.

Q: piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

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Q: A page printed must contain 60sq. cm. of printed material. There are to be margins of 5cm. on either…

A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: Suppose the farmer makes the rectangular holding pen using an existing fence for one side. What…

A: Let the farmer makes the rectangular holding pen using an existing fence for one side.  let the…

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

A:

Q: If the cost of the fencing for the boundary is $5 per meter and the dividing fence costs $2 per…

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Q: A contractor building eight ocean-front condominiums wants to maximize the view of the ocea for each…

A: length x facing the ocean at an angle of 70° from a line perpendicular to the ocean.

Q: The Cardovo Drive-In Movie Complex is a pop-up movie theater in a large field, allowing up to 5 cars…

A: Given : screen is 20 m across            The perpendicular edge of the field is another 10 m To find…

Q: Farmer Ed has 700 700 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

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Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

A:

Q: 10. A farmer has 400 feet of fencing to enclose two adjacent sheep corrals. What should be the…

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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: A triangle is to be formed as follows: two sides are to lie on the coordinate axes and the third…

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Q: A dog park wants to enclose a rectangular plot of land that borders a lake and hence only requires…

A: Let the length of the plot be x yards and width be y yards. As we have to cover 3 sides of the polt…

Q: A farmer has 100 feet of fence and wants to make a rectangular holding pen. What dimensions should…

A: Given: Length of fence available = 100 ft

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: 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: A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is 5 miles…

A: Given- A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is…

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: Find a formula for the shortest distance from a point (a,b,c) to the y-axis.

A: We will find the formula as following.

Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

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Q: The midpoint of SR is (5,-11). One endpoint is S (3, 5). What is the y-coordinate of point R?

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Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: let the fencing done on a rectangular field with half of a fence done on a parallel side of a…

Q: A human statue standing on a base column has a height of 4/2ft. At point P on the ground, the angle…

A: Consider the figure given below : Let 'd' represents the distance to be found out.