Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the graph of y = 3x - x2, what is the smallest possible area?

Q: 20° 40°

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Q: A circle is having an area of 452 sq. m. is cut into two segments by a chord which is 6m from the…

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Q: Find the image of the circle x2 + y² = 4 under a dilation of factor 2 from the x-axis followed by a…

A: The dilation of a curve indicates the expansion or contraction of the curve. If a curve is dilated…

Q: You are planning to close off a corner of the first quadrant with a line segment 20 units long…

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Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

A: the objective is to find the differential equation of the family of circles having centre on y axis…

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

A: We need to determine the radius of semicircle and height of rectangle.

Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

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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 cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

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 '

Q: Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the…

A: For the triangle to be in the first quadrant "a" must be after the vertex to x=3 Vertex is at  So…

Q: Starting with a 60​-foot-long stone​ wall, a farmer would like to construct a rectangular enclosure…

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Q: A storage tank for butane gas is to be built in the shape of a right circular cylinder of altitude…

A: the volume of the cylinder is given by  v1=πr2h here we have  h=28 feet r=x v1=πx2·28 v1=28πx2

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

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Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis TT b is…

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Q: Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a…

A: Given:

Q: 7. Find the equation of the circle with center (2, -4) and tangent to the y- axis.

A: As per guidelines we are supposed to solve the maximum one questions at a time. plz repost another…

Q: Starting with a 180-foot-long stone wall, a farmer would like to construct a rectangular enclosure…

A: topic - application of derivatives

Q: Starting with a 40-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

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Q: A cylinder with a radius of 3 and a height that is 5 times the radius.

A: Radius = 3 , Height =3×5= 15Lateral surface area is thre area of sides excluding area of the…

Q: In a certain isosceles right triangle, the altitude to the hypotenuse has length 4sqrt2. What is the…

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Q: Find the radius of a circle whose area equals the sum of the areas of two circles with radii 3 in.…

A: First we find the area of the circle with radius = 3 in Then we find the area of the circle with…

Q: An equilateral triangle with side length 1.5 is dilated with a scale factor of 4. What is the length…

A: When a figure is dilated by scale of k units, its dimensions are multiplied by k.

Q: If the distance between (- 2, 3) and (- 2, a) is 5 units, find all possible values of a.

A: Here given two-point x1, y1=-2, 3x2, y2=-2, a

Q: The figure above shows a right triangle with dimensions in centimeters. If 0 = 41°, what is the…

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Q: Find the coordinates of the points that are 13 units away from the origin and have an x-coordinate…

A: Solution: Find the coordinates of the points that are 13 units away from the origin and have an…

Q: At what points will the line y = x intersect the unit circle x2 + y2 = 1? (x, y) = (smaller x-value)…

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Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

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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: at what point do the line intersect on the unit circle

A: The given line is,

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: Find the shortest distance from the point ( – 1, – 2, 5) to the cone z = x² + y?. Please round to…

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Q: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

Q: ind the dimensions of the rectangle of largest area that can be inscribed in a circle of radius

A: We will create a rectangle inside the circle and find the length and breadth

Q: Find the shortest distance from the point (- 1, – 2, 5) to the cone z = x² + y². Please | round to…

A: Distance of a point from cone is                                      d=(x-x1)2+(y-y1)2+(z-z1)2 from…

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: A chord of a circle 0.65 m from the center is 1.25 meters long. What is the area of the circle?

A: Given that a length of the chord AC is 1.25 m of a circle centered at O is located in a distance…

Q: Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,4) and…

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Q: Which of the points (x, y) does NOT lie on the unit circle?

A: We have given four points and we have to check among these four points which points are not lie on…

Q: An isosceles right triangle is inscribed in a circle that has a diameter of 12 in. Find the exact…

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

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Q: The side length of this square is x. What is the ro of the circle?

A: The length of the side of a square is x units.

Q: 2 ends

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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 circle has its center at the point (-2, 3). If one endpoint of a diameter is at (3, – 5), find the…

A: Center is at the midpoint of the diameter.

Q: At what points will the line y =x intersect the unit circle x2 +y2 =1 ?

A: We have to find the points where line y=x is intersecting the unit circle: x2+y2=1 To find the…

Q: At what points will the line y = -2x intersect the unit circle x2 +y2 =1 ?

A: The circle equation is x2+y2=1 and the line equation is y=-2x.

Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

Q: The distance between the centers of three circles which are mutually tangent to each other…

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Q: A train traveling up in inclined of 4° travels a horizontal distance of 4 km. how much altitude has…

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