Answer:
31.4 inches
Step-by-step explanation:
If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.
In the given problem it is given that side of square is 10 inches.
So diameter of circle inscribed is 10 inches
we know radius of circle is half of diameter of circle
Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.
Expression to calculate circumference of circle is given by 
where r is the radius of circle.
Thus circumference of circle inscribed is
Thus, circumference of circle inscribed is 31.4 inches
Answer:
.878787.. to a fraction is 29/33
Step-by-step explanation:
= 87/99
Simplify 87/99, which is 29/33
Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by
where n is the number of elements in the set.
Therefore, subsets of the given set = 
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set = 
= 
= 32 - 1
= 31
Answer:
70 degrees
Step-by-step explanation:
x = angle
180 - x = it's supplement
90 - x = it's compliment
(180 - x) - 4(90 - x) = 30
180 - x - 360 + 4x = 30
reducing
3x = 210
x = 70
Answer:
<u>The coordinates of the vertex is:</u>
Horizontal leg = x, vertical leg = 20/29, hypotenuse = 1 (radius of unit circle)
- csc θ = hypotenuse / opposite = 1 / (20/29) = 29/20
- cos θ = adjacent / hypotenuse = (21/29) / 1 = 21/29
- cot θ = adjacent / opposite = (21/29) / (20/29) = 21/20
