. Installing a Vent Pipe A homeowner is putting in afireplace that has a 4-inch-radius vent pipe. He needs to cutan elliptical hole in his roof to accommodate the pipe. If thepitch of his roof is 5 / 4 (a rise of 5, run of 4), what are thedimensions of the hole?Source: www.doe.virginia.gov

Q: The area of the great circle of the sphere is A=100TT mm2. Find the surface area of the sphere. A =…

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Q: How long is the radius of the circle x2 + 2ax+ y? + 2by =0? O a2 + 62 units O Va2 + 62 units O a +…

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Q: Apply a dilation to △EFG using a scale factor of 1/2 and center H.

A: The solution is given below :

Q: find the area of the region common to both circles are = 18sinx and r=9

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Q: Calculatw the r for circle: 1. x^2 + y^2 = 4 2.X^2 /5+ y^2/5 = 125

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Q: 6.Find the area for a circle that has a radius of 4x3y3

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Q: A) Find the area of the dark region inside the square but outside the circle. B) The circumference…

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Q: 12. In Sarah's family, the birthday person always gets to cut the first piece of cake. Sarah is…

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Q: Q5. Suppose one corner of a long rectangular strip of paper 3 cm wide is folded over until it just…

A: Using Pythagoras formula in ∆EFGFG = (3-x)2-x2 = x2+9-6x-x2      =9-6x

Q: 59. square of aistance OJ point withln a given square of side 2a from the centre of the square.

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Q: 9 T. What is the m Z AOB? 2 The radius of circle O is 6 mm. The area of sector AOB is

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Q: Solve for the area of the shadedregion.

A: Given : A Rectangle ABCD,    l = 12 cm, b = 6       BC = 12 cm      CD = 6 cm So, Area of rectangle…

Q: 4. plot A (1, 1) B (1, 4) C (5, 1) find the area y

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Q: Soil contractor Frank was given the following dimensions over the telephone: The triangular garden…

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Q: c. For this process, what is the diameter that will be exceeded by only 0.5% of the shafts?

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Q: Center

A: Dilation is a transformation.

Q: Q5. Suppose one corner of a long rectangular strip of paper 3 cm wide is folded over until it just…

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Q: The second-quadrant area enclosed by x²- y² = 25.

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Q: ven circles with centers H, K and Land parallelogram ABHK. If R1 equals 10 while R2 = 0.7R1,…

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Q: co estimate the amou emispherical dome w

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Q: 3-axis F. 4 2 D 2-axis -6 -5 -4 3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 후

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Q: %3D B- Find the area outside the circlex? + y2 4, and inside circle x2 +y2 4y. %3D

A: As per the guidelines, we are supposed to answer only one question. I request you to kindly repost…

Q: Find the area of the inside the circle r=6 and above the line r=3 csco.

A: Here, we need to find area of the region inside the circle r=6 and above the line r=3 cosec θ First…

Q: Find the length of the leg x on the right triangle below. Enter the exact value, not a decimal…

A: I have given the answer in the explanation section. Hope you understand that

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Q: True or False The radius of the circle x2 + y2 = 9 is 3.

A: Given equation of circle is: x2+y2=9 Then we get, x-02+y-02=32

Q: A piece of jewelry is being designed so that is it in the shape of two semi-circles joined by two…

A:

Q: In Sarah's family, the birthday person always gets to cut the first piece of cake. Sarah is…

A: The area of sector is given by A=θ360×π×r2.

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Q: 8. Find the radius of circle G below. M 12.1 E 20.3 16.3 G 24.3 T

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.