The plane intersects the x-, y-, and z-axes in points P, Q, and R. Find the area of the triangle APQR. * IN

Q: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by…

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Q: cube of edge 4 is in cut by a plane containing two teo diagonally opposite edges of the cube. Find…

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Q: Give two formulas that can be used to find the area of a rhombus. (Hint: Every rhombus is also…

A: Rhombus: Consider a rhombus ABCD, having two diagonals, i.e. AC & BD. Step 1: Find the length of…

Q: Find the area of the rhombus

A: Given image is   Find the area of rhombus?

Q: Find the area of the surface. The portion of the plane z = 24 - 3x - 2y in the first octant

A: ⇒Given:-  Equation of plane                      z=24-3x-2y  in 1stoctant In intercept form,…

Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: Find the volume of the parallelepiped with adjacent edges  PQ, PR,  and PS. P(−2, 1, 0), Q(5, 2,…

A: Given : The four points are given as, P-2,1,0, Q5,2,5 , R1,4,-1  and S3,6,1 To  find: The volume of…

Q: Find the area of the segment of a sphere formed by revolving the graph of       y = √(r2 − x2) , 0 ≤…

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Q: Find the area of the triangle determined by the points P, Q, and R. 1- P(1, –1,2), Q(2, 0, –1), R(0,…

A: To find the area of the triangle determined by the points P,Q and R.

Q: Find a formula for the distance from the point P(x, y, z) to the yz-plane.

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Q: Find the area of the triangle with vertices P=(1,1,0), Q=(0,2,1) and R=(2,0,0).

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Q: Which lines or line segments or rays must be drawn or con- structed in a triangle to locate its a)…

A: (a) The orthocentre is the point where all the three altitudes of the triangle cut or intersect each…

Q: The volume of the pyramid formed in the first octant by the plane 6x + 10y + 5z-30 = 0 is: О 45 О зо…

A: We can solve as follows

Q: A cube with a cylinder cut from its center is cut along the plane shown. Which of the following is…

A: In this figure cube is just coated outside the cylinder

Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + k as adjacent sides. NOTE:…

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Q: Find the area of the rhombus.

A: Area of a Rhombus = A = ½ × d1 × d2 Where d1 and d2 are the diagonals of the rhombus. d1 = 20 ft.…

Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

Q: Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

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Q: Find the distance from the point (−5,2,−3) to the (a) xy-plane (b) xz-plane (c) yz-plane (d) x-axis…

A: We know that distanced of xy-plane from the pointx0,y0,z0 is given by d=z0…

Q: An unfenced grass land is in the form of right triangle ABC with AB=8m, BC=16m and AC as hypotenuse.…

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Q: The centroid of an obtuse triangle is outside the triangle. true or false?

A: solution ======== The centroid is the concurrent point of the three medians in a triangle. It is the…

Q: Find the area of the surface. The portion of the plane z = 6 - 3x – 2y in the first octant

A: We need to find the area of the portion of the plane z=6-3x-2y in the first octant. Let f(x, y) =…

Q: The perpendicular bisectors of the sides of any triangle ABC are concurrent. The point is called the…

A: The perpendicular bisectors of the sides of any triangle ABC are concurrent.

Q: What cross-section cannot be formed by intersecting a plane with a right cylinder? Campbol OM…

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Q: In a triangle, a segment connecting the midpoints of two sides of the triangle is called: OA. median…

A: To find the segment connecting the midpoints of two sides of the triangle. To write a rule to…

Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: Use cross products to find the area of the quadrilateral in the xy-plane defined by (0, 0), (1, −1),…

A: Let vertex of Quadrilateral are O(0,0), P(1,-1), Q(3,1) and R(2,4)      Area of the…

Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and…

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Q: Sketch the triangle with vertices O, P = (0,5, 4) and Q = (7,3, 0) and compute its area using cross…

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Q: A plane intersects the prism shown parallel to the base. Which best describes the cross section?

A: I have provided solution in step2.

Q: In this exercise we find the area of a plane figure. Draw the parallelogram with vertices A(3, 5),…

A: Here we have to draw the parallelogram with vertex A(3,5), B(7,5), C(5,8), and D(9,8).  The graph of…

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

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Q: Find the volume of the parallelepiped spanned by u = (1, 0, 4), v = (1, 2, 1) and w = (-4, 2, 9) in…

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Q: A square pyramid is cut along the shaded plane. Which of the following is the cross-section of this…

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Q: what is the maximum interior angle possible for a regular p olygon?

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Q: Find a formula for the distance from the point P(x, y, z) to thea. xy-plane. b. yz-plane. c.…

A: Distance FormulaDistance between two points x1,y1,z1 and x2,y2,z2d=x2−x12+y2−y12+z2−z12

Q: 16. What is the area of a rhombus whose diagonals have lengths d, = 12 inches and d, 14 inches? Show…

A: Given diagonals of rhombus d1 and d2 are  12 inches and 14 inches respectively.

Q: Find the area of the parallelogram that has u = i – 2j + 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: Find the volume of the parallelopiped with adjecent edges PQ, PR, PS where P(5,-2,-3), Q(7,1,0),…

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Q: Sketch the triangle with vertices O,P = (4,0, 2) and Q = (4, 3,0) and compute its area products.…

A: To find the area of triangle

Q: Figure FGHIJK is a regular hexagon. Segment FK is located at F (1, 2) and K (4, 2). What is the…

A: To determine the perimeter of the hexagon.

Q: Find the area of on of the triangle that can drawn between the planes Зх — бу- 2г 15 and 2x + y - 2z…

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Q: Find the surface area of a sphere of radius r

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Q: Find the area of the surface. The portion of the paraboloid z = 16 - x - y in the first octant

A: The given surface is the portion of the paraboloid z=16-x2-y2 in the first octant. The surface area…

Q: Find the surface area of the part of the plane 3x + 3y+ z = 9 that lies above the triangle formed by…

A: In the question we have to find the surface area of the plane.

Q: Does a right circular cone such as a wizard's cap have a) symmetry with respect to at least one…

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Q: Find a formula for the distance from the point P(x, y, z) to the xz-plane

A: The distance between two points x1,y1z1 and x2,y2z2: d=x2-x12+y2-y12+z2-z12 The distance from the…

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR and PS given the  points P = (−2,…

A: We have to find

Q: What is the area of the rhombus as shown below?

A: Given that: A rhombus as shown.

Q: Find the area of the portion of the surface of the plane 36x + 16y + 9z = 144 cut by the coordinate…

A: Area of portion