Area of the sector = 1/2 * r^2 * theta where theta is the angle subtended by the arc at the center ( in radians)
In this case m < theta = 360 - 235 = 125 degrees or 2.182 radians
So, the area of shaded area = 1/2 * 20^2 * 2.182 = 436.4 in^2
The Square Root of 245 is 15.65 (rounded to 2 dec. Places)
Complementary angles are angles whose sum is 90 degrees.
90 - 67 = 23
23 degrees is the measure of its complementary angle.
<span>You have to apply the rule to the XYZ coordinates, so
X'= (-2-1, 1+3)
Y'= (-4-1, -3+3)
Z'= (0-1, -2+3)
So the new coordinates are X' (-3, 4), Y' (-5, 0), and Z'(-1, 1)
This is actually translation not transformation, as the shape doesn't change it just moves</span>
<h2>
Hello!</h2>
The answer is: 23.77 hours
<h2>
Why?</h2>

Where:
Total(t) is equal to the amount for a determined time (in hours)
<em>Start</em> is the original amount
<em>t </em>is the time in hours.
For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

So, to know if we are right, let's replace 23.77 h in the equation:
Total(t)=100*2^\frac{23.77}{15}=299.94
and 299.94≅300
Have a nice day!