Problem B: Pac Man is trying to eat as many Pac Dots as possible at one time. He is trying to eat an area of 10 centimeters. If Pac Man has a radius of 5 centimeters and can open his mouth. 40", will he be able to eat the area worth 10 centimeters of Pac Dots at one time? Explain why.

Q: PROBLEM 4: A corner lot, triangular in shape, has perpendicular sides measuring 120 m and 160 m,…

A: Given

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Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

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Q: "An engineer is using a machine to cut a flat square of Aerogel of area 144 sq. c.m. If there is a…

A: Square have an area of 144 cm2, hence the side is 12 cmGiven that ε=8, a=12 and L=144The engineer…

Q: A hose has a radius of approximately 0.5 in. and a lengthof approximately 20 ft. By what factor does…

A: Assume radius of the hose be r and length be l. Given, r=0.5 inches and l=20 ft

Q: suppose that a can has a radius of 0.8 inches and a height of 3.2 inches how much soup would be able…

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Q: If the radius of circle Y is 13.5 inches, then what is the area of circle Y?

A:

Q: If the pre-image of a shape has an area of 16. What is the area of the image of the scale factor is…

A: Ratio of areas of image and pre-image is equal to square of  scale factor.

Q: If the focal length of a reflection telescope is 200 cm and the focal length of the eyepiece lens is…

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Q: What is the largest tolerable error in the 20 cm edge length of a cubical cardboard box if the…

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Q: A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes. Water is then poured into the tank…

A: Given data is : A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes Volume of…

Q: If the radius of circle Y is 13.4 inches, then what is the area of circle Y?

A: Explanation of the answer is as follows

Q: Discuss the method used by Archimedes to calculate the area of a circle

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Q: Starting with a 200-foot long stone wall, a farmer would like to construct a rectangular enclosure…

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Q: Find the area of a regular pentagon with a perimeter of 40 feet. Round your answer to the nearest…

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Q: You reduce the radius of a sphere to make a new sphere that has a radius of 2 cm. If the ratio of…

A: It is given that, radius of original sphere is, radius of smaller sphere is, Ratio of volume of…

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. Surface Area Volume

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Q: The dimensions of a rectangular block of wood are found to be 100,120 and 200mm, with a possible…

A: Let's find greatest error in the surface area of the rectangular block.

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. qin Surface Area Volume 32. A…

A: Total Surface Area of Cylinder The total surface area of a cylinder is equal to the sum of areas…

Q: What is the area of the triangle below?

A:

Q: Suppose a Red Oak is 30 ft high with a tree trunk radius of 2.5 ft and a Birch tree is 50 ft high…

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Q: A side of an equilateral triangle is 16 m long. What is the area of the triangle? Do not round any…

A: We need to find area of triangle.

Q: What is the area of the largest rectangle that can fit inside of a circle of radius R?

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Q: A farmer has a 40 ft by 50 ft rectangular field that he wants to reduce to 10% of its original size.…

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Q: A company wanted to manufacture 1000 hemispherical basins from a thin steel sheet .If the radius of…

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Q: What is the area of a square with a radius 8 ?

A: Our Aim is to tell the Area of a square inscribed in a circle of radius 8 cm.Since, ABCD is a square…

Q: If the volume of a sphere is 2304 cm cubed. Then what is the radius.  Can you please show the…

A: →Volume of sphere is given by,                                                 V = 43π r3

Q: I can't figure out the value of x or the area of the sqaure

A:

Q: What is the area of the decagon?

A: Given, A  regular decagon, Perpendicular distance from center to  the side of the decagon is 12.3 in…

Q: A picture frame is in the shape of a square with a circle removed from the centre. If the radius of…

A: Given, a picture frame is in the shape of a square with a circle removed from the centre. if the…

Q: In order to properly feed her animals, a rancher needs to enclose a total area of 4704 square feet…

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Q: kendra says that if she doubles the radius from 6 inches to 12 inches, the cone will have double the…

A: Solution:

Q: Suppose we were asked the question: "A rectangle is to be inscribed in a circle of radius 5cm. What…

A: A rectangle is to be inscribed in a circle of radius of 5 cm.

Q: What is the largest absolute difference between the areas of two of the right triangles that can be…

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Q: A meteorologist measured the eyes of hurricanes to be 13 to 18 miles in diameter during one season.…

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Q: A geometry student wants to draw a rectangle inscribed in a semicircle of radius 4. If one side must…

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Q: (PROBLEM NO. 4) Mrs. Santos wants to personalize a curtain that fits their door. The area of the…

A: Let the length and with of the curtain be L and W respectively.  Given: Area of curtain= 20 sq.…

Q: A farmer has a 25 ft by 40 ft rectangular field that he wants to reduce to 10% of its original size.…

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Q: If the radius of a sphere is doubled, the area of the sphere is multipliedby____ and the volume is…

A: Consider the given information as If the radius of a sphere is doubled, the area of the sphere is…

Q: A television screen is 40 cm high and 60 cm wide. The picture is compressed to 62.5% of its original…

A: Using information given in the question

Q: A 5cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…

A: Consider the 5 cm cube.   Determine the surface area. S=6a2=652=150 cm2   Determine the volume.…

Q: The area of the entire figure below is 1 square unit. How can we calculate the area of the striped…

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Q: 2. A single-lane street 10ft wide goes through a semicircular tunnel with radius 9ft. How high is…

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Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. q in Surface Area

A: Explanation and solutions is given below....

Q: You reduce in size a large sphere with surface area of 169TT cm2 to become a sphere with surface…

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Q: what is the surface area of the new box? What is the difference of the surface areas?

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Q: What is the area of the triangle above?

A: In given triangle △ABC,  ∠C=900∠B=450 We know that sum of angles of side is 180 Hence,…

Q: The two figures represent the dimensions of the scale drawing of an actual field and the actual…

A: Given the two figures which represent the dimension of the scale drawing of an actual field and the…

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…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.