1) Find the approximate distance that will be saved by walking diagonally across a field 450 meters by 250 meters instead of walking along the two adjacent sides.

Q: Suppose you are standing such that a 49-foot tree is directly between you and the sun. If you are…

A: Suppose you are standing such that a 49-foot tree is directly between you and the sun. If you are…

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A: Given Data: The length of the longest side of the short flag is: l=5 ft The length of the shortest…

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A:

Q: Suppose you are standing such that a 36-foot tree is directly between you and the sun. If you are…

A: NOTE: Refresh your page if you can't see any equations. . here we have AD=10 BD=50 AB=60 BC=60 DE=x

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A:

Q: 5. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into…

A: Length of steel girder =27ft width of the passage way=8ft Let w be the width which has to be found.…

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A: consider the smaller right angle triangle

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Q: A real estate company wants to build a parking lot along the side of one of its buildings using 600…

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Q: If the altitude and the base of a triangle were each increased by 2 cm, the area would increase by…

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Q: The sum of the sides of a triangle is equal to 100 cm. If the angles of the triangle are in the…

A: Given:  sum of sides of triangle is 100cm Let the sides of triangle be x, 2x and 4x

Q: 2. The sides of a rectangle ar measured to be 1 cm and 2 cm with a possible error of 0.001 cm for…

A: Given the two sides of a rectangle : Length (l) = 2 cm Width (w) = 1 cm The possible error for each…

Q: An equilateral triangle has a perimeter numerically equal to its area, which is not zero. Determine…

A: Let the length of side be ' a '

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Q: The area of a right angled triangle is 600 cm2 if the base of the triangle exceeds the altitude by…

A:

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

A: Suppose the wire bent into the shape of  L  be the right triangle ∆PQR with QR=x cm,  PQ=50-x cm By…

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the…

A: Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of…

Q: In obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the…

A:

Q: 1. A rectangular window has a length that is 18 inches more than its width. If its perimeter is 180…

A: Let width of the rectangular window be w (in inches).Since length is 18 inches more than width,so…

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A: Given: 19.14° horizontally from Ottawa and 45.93° horizontal from Montreal

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: Given is the window consists of a rectangle surmounted by a semicircle of perimeter 32ft. Consider…

Q: A page is to contain 54 sq cm. of printed material. If the margins are lcm at the top and bottom and…

A:

Q: A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: Here we have A fence 15 feet tall that runs parallel to a tall building at a distance of 3 ft from…

Q: A rectangle has base length x + 3, altitude length x + 1, and diagonals of length 2x each. What are…

A: The base, altitude and diagonal of a rectangle make a right triangle.

Q: In construction, floor space must be given for staircases. If the second floor is 3.6 meters above…

A: Given that, second floor is3.6 meters above the first floor. step pattern is 28 cm of thread for 18…

Q: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

Q: From the top of a tower 36 m high, the angles of depression of the top and bottom of another tower…

A: We have to use properties of right angle triangle to solve the problem. For right angle triangle we…

Q: A goldsmith designed a trapezoidal pendant as shown in the figure below. If x, the perpendicular…

A:

Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into…

A: Given: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and…

Q: the

A:

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: In the given question we have to maximize the area .

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Q: 3. The cross-section of a tunnel, 50 meters in length is in the form of a rectangle 8 m wide and 4 m…

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Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of…

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Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

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Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of a Y. If…

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Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: 4. A steel girder 27 ft long is to be moved on rollers along a passageway 8 ft in width and into a…

A:

Q: 2. The length of the diagonal of a square is 4 cm shorter than the perimeter of an equilateral…

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Q: If a has a length of x units and c has a length of 2x units, what will be the length of b?

A:

Q: Suppose that we are given a cube with edges 12 centimeters in length. Find the length of a diagonal…

A: The length of a cube l=12 cm. The breadth of a cube b=12 cm. The height of a cube h=12 cm. Consider…

Q: 2. Find the length of a rectangular lot 14 m wide and with 50 m digonal path.

A: As per guidelines we have to solve one question

Q: 1. Construct a segment whose length is twice the length of MN.

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Q: 2. A ladder 12 m long is placed so that its front is 3 m from a building. How far must the foot of…

A: This question can be solved by applying the concept of Pythagoras theorem.

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Q: 1. The diagonal of Andre's rectangular TV screen is 39 inches. The width of his TV screen is 34…

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Q: Prove that if two triangles are similar their heights are in the same proportion as their sides.

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Q: 9. A swimmer orients herself perpendicular to the parallel banks of a river. If the swimmer's…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.