The base of a table is shaped like a square pyramid. The pyramid has equilateral faces that measure 25 inches on each side. The
base is 25 inches long. Sketch the net of the table base, and label the edge lengths.
1 answer:
Answer:
All the edges of the table base measure 25 inches.
Step-by-step explanation:
1. A square pyramid has a square for a base and four triangles for faces.
2. The four triangles of the square pyramid are equilateral triangles.
3. It is important to remember that an equilateral triangle is a triangle in which all three sides are equal. In this case each side measures 25 inches.
4. The square base of the pyramid measures 25 inches each side .
5. To obtain the height of the square pyramid, we use the formula of the height of the equilateral triangle.
height =
where a is the measure of a side = 25 inches
height =
height = 21,65
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Answer with explanation:
The equation of any line with slope 'm' and passing through any point is given by
As we know that the general equation of a line with slope 'm' is
Comparing with the given equation we can conclude slope of the given line is
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines
Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular
Hence using the given and the obtained values the equation of the required line is
Part b)
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Comparing the equations of given lines
with the standard equation we get
Thus the angle of intersection becomes