Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is
Where, is the central angle in degrees.
Putting r=10 and , we get
Therefore, the area of the sector is 12.5π sq. inches.
The number of ways to choose the colors is 36
<h3>How to determine the number of ways?</h3>The given parameters are:
Colors = 9
Colors to choose = 7
Since order does not matter, then it is combination
This is calculated using:
This gives
Evaluate
Hence, the number of ways is 36
Read more about combination at:
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Answer:
Step-by-step explanation:
When , the variable
will be removed from the equation (
). Therefore, we are left with
. Thus, when
, the given equation has no solutions.
Answer:
1.
Step-by-step explanation:
We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
We can set up an equation as:
Upon substituting our given values we will get,
Cross multiplying our equation we will get,
Therefore, the length of AD is units and 1st option is the correct choice.