Answer:
Triangle(C)
Step-by-step explanation:
All the Exterior Angles of a polygon add up to 360°, so: each exterior angle must be 360°n (where n is the number of sides). So, 360n=120 ; n=360/120=3 It is a triangle.
Answer:
48 is the answer
Explanation provided in picture
Answer:
Isosceles triangle
Step-by-step explanation:
Length AB
√(4 - 2)² + (7 - 2)²
√2² + 5²
√4 + 25
√29
Length AC
6 - 2 = 4
Length BC
√(6 - 4)² + (2 - 7)²
√2² + (-5)²
√4 + 25
√29
Length AB and BC is the same.
Length AC is the longest side.
Therefore, it is an isosceles triangle.
Answer:
696.265 inches
Step-by-step explanation:
Radius = 27/2 = 13.5
2 semicircles + 2 lengths
(3.14 × 13.5²) + 2(62)
696.265 inches
Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem