Geometry Answers

Can somebody answer this quiz ?

There are four cities formed a square.

We have to build a road. On the road we have to reach from any city to any other city.

We have money for only 22 km road, exactly . So, how to build ??

Given three angles whose sum is 180 degrees, one unique triangle can be drawn

A triangular prism has bases that each have an approximate area of 173 square centimeters. The triangles measure 20 centimeters on each side and the prism is 4 centimeters high. What is the surface area.

The sum of the interior angles of an n-sided regular polygon is 720 degree. Find the size of each exterior angle of the polygon.

A packaging plant quality assurance agent compares the surface area and volume of packages to ensure the packages will be transported economically. The most popular package size is a cylinder with a height of 18 inches. Write and simplify an expression that represents the ratio of the surface area to the volume of the cylinder.

Give an example of a good indoor activity to help a child learn to find the area of a 2D object. Explain why it is 'good'. Further how would you modify this activity to use it for a class of 30 children?

1.Does deductive reasoning always work?
2.Can inductive and deductive reasoning be applied simultaneously, or do they need to be applied separately? write short paragraph and use mathematical examples to elaborate on the answer.
relate reasoning to understanding by discussing the following statement
3. inductive reasoning contribute to relational understanding of mathematical concept
4. deductive reasoning contributes to instrumental understanding of mathematics concept
5. instrumental understanding complements relational understanding.

Gabriela is building a wooden box with a rectangular base that is 18 in. by 15 in. and is 15 in. tall. Part A If she wants an open box without a top, how much wood will Gabriela use? Show your work. Gabriela will use of wood. Part B If she wants to include a top for the box, how much wood will Gabriela use?

Explain the difference between language incompetence and cognitive incompetence
using examples in the context of learning “angles”.

Describe an activity to help children learn that any line may not be an axis of symmetry of a given circle. Give another activity to assess how far the earlier activity was effective for children to understand the axis of symmetry of a circle.