A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '
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The area of the shaded region is option first is correct.
It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.
It is required to find the shaded area (missing data is attached shown in the picture).
<h3>What is a circle?</h3>It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a hexagon with a side length of 10 feet.
We know the area of the hexagon is given by:
where a is the side length.
⇒
We have the shortest length = x feet and from the figure:
2x = 10
x = 5 feet
The radius of the circle r = longer leg
feet
The area of the circle a = ⇒
The area of the shaded region = A - a
Thus, the area of the shaded region is
Learn more about circle here:
Each face of the cube has an equal probability of being rolled. There are 2 numbers on the cube less than 3 (1 and 2). The event of rolling a 1 and the event of rolling a 2 are mutually exclusive (you can't roll both faces at once), so