Answer:
275.63 mm^2
Step-by-step explanation:
The measurements of the pyramids are
Edge length: 10
Egde width: 8.66 (because 10x8.66/2 = 43.3)
Height: 9
To find the surface area, use this formula, and you will get 275.63:
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2 answers:
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Not sure why such an old question is showing up on my feed...
Anyway, let
and 
. Then we want to find the exact value of 
.
Use the angle difference identity:
and right away we find
. By the Pythagorean theorem, we also find 
. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)
Meanwhile, if
, then (by Pythagorean theorem) 
, so 
. And from this, 
.
So,
Anyway, let
Use the angle difference identity:
and right away we find
Meanwhile, if
So,
Given:
(2, 4) and (3, 3) are on the line.
To find:
The equation of line in point slope form.
Solution:
If a line passes through a point with slope m, then the point slope form of the line is
(2, 4) and (3, 3) are on the line. So, slope of the line is
The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is
Therefore, an equation of the line in point slope form is .