A function f on [a, b] is called a step function if there exists a partition P = {a = u0 < u1 < ··· < cm = b} of [a, b]
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We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:
then, solving for b, we get:
now that we have that b = 41, we can find the measure of each angle:
We have to find the mass of the gold bar.
We have gold bar in the shape of a rectangular prism.
The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.
First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:
Volume of the gold bar
Plugging the values in the equation we get,
Volume of the gold bar
Now that we have the volume we can find the mass by using the formula,
The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:
grams
So, the mass of the gold bar is 14252.769 grams