Select the following numbers that cannot represent the area of a polygon.
1 answer:
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Given:
The right triangular prism.
Height of prism = 28 in.
Hypotenuse of base = 25 in.
leg of base = 24 in.
To find:
The lateral surface area of the prism.
Solution:
Pythagoras theorem:
Using Pythagoras theorem in the base triangle, we get
The perimeter of the triangular base is:
Lateral area of a triangular prism is:
Where, P is the perimeter of the triangular base and h is the height of the prism.
Putting in the above formula, we get
Therefore, the lateral area of the prism is 1568 in².
Inequalities are used to show the relationship between unequal expressions
- <em>The set notation of (5) and (6) are: </em>
<em> and </em>
<em>.</em>
- <em>See attachmen</em>t for the graphs
The following should be notated when plotting the graph of an inequality
- < and > are represented with open circles, while
and
are represented with closed circles
- The arrows of
and
point to the left, while the arrows of
and
So, we have:
Rewrite as:
The graph of will point to the right, and it will use an open circle
Split the inequality:
and
<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>
<em />
Hence. cannot be represented on a graph
Split the inequality:
and
means that -4 is less than x or x is greater than -4.
So, we have:
and
If and
, then we make use of
because it contains more values of x.
The graph of will point to the right, and it will use an open circle
Read more about inequalities at:
