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Geometry
A cylindrical glass has a radius of 4 centimetres and a height of 6 centimetres. A large cylindrical jar full of water is a similar shape to the glass. The glass can be filled with water from the jar exactly 216 times.
Work out the radius and height of the jar.
Work out the radius and height of the jar.
Geometry
The following properties hold for arbitrary vectors u,v, and w and arbitrary scalars a and b
a.) u+v=v+u
b.)u+(v+w)=(u+v)+w
c.)(ab)v=a(bv)
d.)(a+b)v=av+bv
e.)v+0+v
f.)0v=0
g.)a0=0
h.)|av|=|a| |v|
i.)|u+v| is less than or equal to |u| + |v|
j.) a(u+v)=au+av
a.) u+v=v+u
b.)u+(v+w)=(u+v)+w
c.)(ab)v=a(bv)
d.)(a+b)v=av+bv
e.)v+0+v
f.)0v=0
g.)a0=0
h.)|av|=|a| |v|
i.)|u+v| is less than or equal to |u| + |v|
j.) a(u+v)=au+av
Geometry
Let x and y be any two points in a sphere (S^2). Let y' denote the antipodal point of y, then x,y and y' define a circle on a sphere. define a binary operation on S^2 such that x*y is the mid point of the arc joining x and y in the circle through x,y and y'.
My question is show that x*(y*z)=(x*y)*(x*z) for x,y and z belong to the sphere
My question is show that x*(y*z)=(x*y)*(x*z) for x,y and z belong to the sphere
Geometry
Calculate the geometric mean from the following table
Marks obtained 11 12 13 14 15
No of students 3 7 8 5 2
Marks obtained 11 12 13 14 15
No of students 3 7 8 5 2
Geometry
Hi
Recall that we can thought of a projective plane as an upper hemisphere. We define the binary operation on a projective plane as follows: Let x and y be any two points belong to the projective plane, think of the projective plane as an upper hemisphere. Then take the antipodal point of y which is in the lower hemispher and identified with y. Draw a line through x and the antipodal point of y. Then draw a line parallel to that line with same length and the origin is the mid point, x*y is then defined as the endpoint of this line (Since the end points are antipodal so they are equal in RP).
My question is
Is it true that x*(y*z)=(x*y)*(x*z) for x,y,z in RP
If yes, then can you prove it for me please
thank you in advance
Recall that we can thought of a projective plane as an upper hemisphere. We define the binary operation on a projective plane as follows: Let x and y be any two points belong to the projective plane, think of the projective plane as an upper hemisphere. Then take the antipodal point of y which is in the lower hemispher and identified with y. Draw a line through x and the antipodal point of y. Then draw a line parallel to that line with same length and the origin is the mid point, x*y is then defined as the endpoint of this line (Since the end points are antipodal so they are equal in RP).
My question is
Is it true that x*(y*z)=(x*y)*(x*z) for x,y,z in RP
If yes, then can you prove it for me please
thank you in advance
Geometry
Given 3 points, can one construct a hyperbolic curve thru them using classical geometry of straight edge and compass.
Geometry
``In the coordinate plane the point X (0,-3) is translated to the point X'(-3,0). Under the same translation the points Y(4,-6) and the Z(-4,-5) as translated to Y' and Z'respectively what are the coordinates of Y' and Z'?''.
Geometry
in the coordinate plane the point X (0,-3) is translated to the point X'(-3,0). Under the same translation the points Y(4,-6) and the Z(-4,-5) as translated to Y' and Z'respectively what are the coordinates of Y' and Z'?
Geometry
The sides of an isosceles triangle are 27, 27, and 12yd long. What is the area of the triangle?
Do not round any intermediate computations, and round your answer to the nearest tenth.
Do not round any intermediate computations, and round your answer to the nearest tenth.
Geometry
The sides AB,BC And CA of the triangle ABC touches a circle with centre o and radius R at point P,Q,R ...1.prove that AB+CQ=AC+BQ...2.area of triangle ABC =1/2 perimeter* radius..
