Answer:
Volume = 1114.1
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by:
where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).
Then the square base of the pyramid has an area given by:
Finally,we can now write the volume of the pyramid as:
Rounding the answer to a tenth of a cubic inch, we get:
Volume = 1114.1
The value of the expression is 4 and the exact value of
is
The point on the unit circle is given as:
A point on a unit circle is represented as: (x,y), such that:
cos(t) = x and sin(t) = y.
This means that:
Calculate tan(t) using:
So, we have:
Evaluate
The expression is then calculated as:
Evaluate each term
Evaluate the sum
Hence, the value of the expression is 4
The expression is given as:
As a general rule, the arc sine of sine x is x.
This means that:
Hence, the exact value of is
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