Answer:
20.7 ft each
Step-by-step explanation:
See the diagram attached below which describes and represents the information given to us.
The tangents are PA and PB.
Tangents form right angle with the radius of a circle, therefore:
<OBP = <OAP = 90°
Therefore ∆OBP is a right triangle.
m<APO = m<BPO = ½(60) = 30°
Thus, in ∆OBP,
Reference angle = 30°
Side length opposite to reference angle = 12 ft
Adjacent length = length of tangent PB
Apply trigonometric function TOA, to find PB:
Tan 30 = Opp/Adj
Tan 30 = 12/PB
PB × Tan 30 = 12
PB = 12/Tan 30
PB = 20.7846097 ≈ 20.7 ft (nearest tenth)
Length of each segment = 20.7 ft
Answer:
2/3
Step-by-step explanation:
Answer:
79 soldiers
Step-by-step explanation:
Since 40 soldiers were not included in the square, the square consists of 6241 soldiers. 6241 represents the area of the square, and the rows (r) represents a side of the square. Since the area of a square = the length of the side squared, then 
.
So 
r = 79
Answer:
y=10x+99
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.
Answer:
The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.
Step-by-step explanation:
2n^2 sequence:
2,8,18,32,50,72
