Suppose that each square in the chessboard is assigned a side length of one unit, what is the displacement magnitude for every movement of the knight

Q: How many spherical balls can be made out of a solid cube of lead whose edge measures 66 cm and each…

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Q: A kite has two pairs of adjacent sides of 7 ft and 12 ft respectively, where two opposite angles…

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Q: A rectangular window has a length of 44 inches (in.) and a height of 60 in. Find the units for the…

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Q: A conical container holds 1 gal of liquid. If its slant height is 10 inches, at what points on the…

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Q: What is the magnitude of the electrostatic force between a singly charged sodium ion (Na*, of charge…

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Q: A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides…

A: To find the exact area of the small circle from the given picture

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: Given: AF=4, AD=5, and DF=3. AC= (4-h) and DE= (3-w) Therefore,

Q: Each face of a cube has an area of 13 centimeters2. What is the total surface area of the cube?

A: Explanation of the answer is as follows

Q: What is the area of the kite if the diagonals are 12 in and 7 in long?

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Q: How many spherical balls can be made out off a solid cube of lead whose edge measures 66 cm and each…

A: Volume of cube is equal to volume of lead balls.

Q: Which set of dimensions belongs to a right rectangular prism with a volume of 440 cm3?

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Q: 3. Each tire of a car has a radius of 40 cm. If the tires are rotafing at 500 revolutions per…

A: The radius of the tires of the car=40 cm Revolution per minute = 500

Q: J (1,4) M(-1, 2) К(3,2) L (1, – 3)

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Q: Question number 7

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Q: A car tire has a diameter of 65 cm if the car will rotate once per second how far does the car…

A: 1 minute=60 seconds car travels π D in one rotation.Here D is the diameter

Q: Determine the work done if an electric hoist lifts 2500 -pound car 6 feet.

A: Weight of car, P = 2500 lb                        Height by which the car has…

Q: Each side of a square traffic sign is 18 cm long. Find the area of the square defined by this sign.

A: Given ,  Each side of a square traffic sign is 18 cm long. Let , a = 18 cm  We have to find the area…

Q: Volume 106, radius = 4.1, what is the height? O 3.2 O 1.5 O 2

A: The volume is 106, radius  = 4.1. Then we have to find the height.

Q: 2. A circular wheel has been rolled and performed a total of 200 revolutions. If the radius of the…

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Q: Find the area of a square with diagonals of length d

A: Given: Length of diagonal = d To Find: Area of square

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: what is the length of GD?

A: Use trigonometry ratios to find the side of triangle.

Q: Find the area of the segment JKM 10 om

A: The area, A , of the segment of a circle is calculated using the formula, A=12r2θ-sinθ . Here, r is…

Q: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the…

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Q: A bicycle wheel of radius 24in rotates 570ﾟ how far does the wheel roll

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Q: 19. The arm of a Ferris Wheel starting from the center to its passengers' seat has a length of 80…

A: Given that arm is 80 ft from the center So the radius of the Ferris wheel is 80 ft we need to find…

Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

Q: If the shading process shown in the figure is continued indefinitely, what fractional part of the…

A: what fractional part of the largest square will eventually be shaded?

Q: 8. The windshield wiper rotates at an angle of 155°. If the length of the wiper mechanism is 24 in…

A: The given question can be solved as shown in step2.

Q: calculate the area of a triangle given two angles and one side.

A: Given : Two angle = ∠A and ∠B and side of triangle = a    The area of triangle…

Q: Discuss the sigulariles and poles of

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Q: If a sprinkler head rotates 180° and has enough pressure to keep a constant 25-foot spray, what is…

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Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: If the minute hand of a clock has a length of 6 inches, how far does its tip travel in 18 minutes?

A: The minute hand of a clock has a length of 6 inches

Q: What is the length of WZ?

A: use the properties of similarity

Q: What is the volume of the parallelepiped with the sides i, 8j-k, and 9i+7j-k?

A: Given that, Find the volume of parallelepiped.

Q: Compute the angle between the diagonals on two adjacent faces of a cube.

A: Consider the cube below where origin is one of its vertex, Let O be the origin and OD and OB be the…

Q: If a soprano saxophone is 69 cm long, and the tenor sax plays an octave lower, how long should the…

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Q: Prove that the area of a square whose diagonal has length d is A = ¿d?.

A: The length of the diagonal of a square is d. Now let a be the length of the side of a square. Now…

Q: If ZA = 70°, ZB = 45°, and a = 5 cm, then the length of b, to the nearest hundredth of a centimetre,…

A: Given in triangle ABC∠A=70°,∠B=45°, a=5 cm

Q: If a cone has a diameter of 10 and a height of 12 and a slant height of 13. What is it’s volume and…

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Q: 7. The big wheel of a pulley system turns at 2 rpm and the small wheel turns at 5 rpm. If a point on…

A: Given:   N1 = 2 rpm     N2 = 5 rpm      V1 = 10 in/min

Q: Find the area of a square whose diagonal has length V10 in.

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Q: What theorem can be used to prove that AABD ADCA? Explain by naming the corresponding parts of the…

A: We have different congruency theorem to prove the congruency of the two triangles.  Sum of them are…

Q: Each tire of an automobile has a radius of 1.25 feet. How many revolutions per minute (rpm) does a…

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Q: 3. A railroad rail is 1 kilometer long and it expands on a hot day 10 centimeters in length.…

A: Consider the following figure For a small angle x in radians tanx≈sinx≃x Use this to create an…

Q: The length of a diagonal of a square whose side is 4 in. long. Leave answer in simplified radial…

A: SQUARE: A Square is a Quadrilateral that has Four Equal Sides Each angle at the corner are of 90°…

Q: Suppose that you just completed a nonstop bicycle trip of 5.5 km. You know that each wheel of your…

A: Given Data: The distance covered by the bicycle is: d=5.5 km=5500 m The radius of the wheels of a…

Q: Assuming that the (square) base of this building has a side length of 646 feet and that the pyramid…

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