What is the surface area of this rectangular pyramid?
2 answers:
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9514 1404 393
Answer:
regular octagon
Step-by-step explanation:
In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.
An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.
Octagons will not tessellate a plane.
Given:
and
.
To find:
The quadrant.
Solution:
We know that,
In I quadrant, all trigonometric ratios are positive.
In II quadrant, only are positive and others are negative.
In III quadrant, only are positive and others are negative.
In IV quadrant, only are positive and others are negative.
We have,
and
.
Here, is positive and
is negative. So,
lies in the III quadrant.
Therefore, the correct option is C, i.e., III.