Geometry Answers

Compute the torsion of the circular helix γ(t)=(acos t, asin t, bt)

The perimeter of a regular hexagon is 3.04cm less than the perimeter of a regular pentagon. The perimeter of the regular hexagon is 21.06cm. What is the side length of the regular pentagon?

A rounded cup of tea has an opening shaped like a sphere. That radius is 5cm. What is the volume?

ABCD is a quadrilateral. E is a point in ABCD.
Prove that,
(AEB) (DEC) - (AED) (BEC) = (AEC) (BED)
or,
(AEB) (DEC) - (AED) (BEC) = -(AEC) (BED)


Question is right...

Will all of the geography textbooks fit on the​ shelf? Select the correct choice below and fill in the answer box to complete your choice.
A.
Yes, because the total thickness of all 22 books is
nothing in.
B.
No​, because the total thickness of all 22 books is
nothing in.

how many degrees are in a right angle

given <BCA =<DCE
<B and < D are right angles
C is the midpoint of BD
prove BA=DE

In the diagram below of ΔABC , AB ≅ AC , m∠A = 3x , and m∠B = x + 20.
What is the value of x?

Q. Which of the following curves are regular?
(i) γ(t) = (cos^2 t, sin^2 t) for -∞<t<∞
(ii) γ(t) = (cos^2 t, sin^2 t) for 0<t<π/2
(iii) γ(t) = (t, cosh t) for -∞<t<∞
Find unit speed reparametrisation of regular curve(s).

Q. Show that the following curves are unit–speed:
(i) γ(t) = (1/3 〖(1+t)〗^(3/2),1/3 〖(1-t)〗^(3/2),t/√2 )
(ii) γ(t) = (4/5 cos⁡t,1-sin⁡t,-3/5 cos⁡t)