Answer:
99.93 
Step-by-step explanation:
1. The area of a circle is defined by the equation: A = 
2. We can plug in the radius and solve the equation: A = 
3. A = π * 31.8096
4. A = 99.932
5. A = 99.93
Answer:
12). LM = 37.1 units
13). c = 4.6 mi
Step-by-step explanation:
12). LM² = 23² + 20² - 2(23)(20)cos(119)°
LM² = 529 + 400 - 920cos(119)°
LM² = 929 - 920cos(119)°
LM = 
= 
= 37.08
≈ 37.1 units
13). c² = 5.4² + 3.6² - 2(5.4)(3.6)cos(58)°
c² = 29.16 + 12.96 - 38.88cos(58)°
c² = 42.12 - 38.88cos(58)°
c = 
c = 
c = 4.6386
c ≈ 4.6 mi
Answer & Explanation:
As we know exterior angle of polygon is supplementary of the interior angle. So we will calculate interior angle first. Since decagon is regular so all angles will be same. Each exterior angle of a decagon will be 36°.
The slope is negative one half because perpendicular lines always have slopes that are opposite reciprocals
meaning not only are they reciprocals meaning 1 over the number (or flipping the numerator and the denominator of a fraction) you also change the sign