Geometry Answers

What is a polyhedron

Subject: Affine and Euclidean Geometry

Question: Generalized geometrical incidence? Explanation in detail with prove.

A cylindrical water tank carries a volume of 150 ℓ when it is full. The water tank has a base surface

with a diameter of 140 cm. What is the height of the water tank? Round your answer to three decimal

digits.

[1] 9,744 cm

[2] 0,097 cm

[3] 2,440 cm

[4] 0,024 cm

The van heile theory and development of geometric thought is very helpful in structuring and teaching geometry.

1. Give an example of how a learner on level 1 will define a rectangle.

2. Give one example of how a learner on level 2 will define a rectangle.

3discuss it's meaning in the context of the classification of quadrilateral as a learner on level 2 would do it.

The phrase “instrumental understanding of mathematics” means that

A particle moves so that its position vector is given by r =cosωti+sinωtj. where ω is a constant.

a)Show that the velocity v of the particle is perpendicular to r, and the velocity acceleration a is directed towards the origin and has magnitude proportional to the distance from the origin.

b) Show also that r × r is a constant vector.

Subject: Affine and Euclidean Geometry

Question: Generalized geometrical incidence?

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

ABCD is a quadrilateral with G and H the mid points of line DA and DC respectively. Show that line AB + line DC = 2GH

9 Draw pictures showing how 39 × 6 could be modelled with base-10 blocks or with areas on base-10 grids. (Use at least two of the methods.)