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:
The perimeter is 28 (6 plus 8=14 14x2= 28)
Step-by-step explanation:
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Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
78.74 divided by 12.7 is equivalent to 7874 divided by 12.70, 78.74/12.7=7874÷1270=6.200 calculating 3 decimle places
That would be the ratio of 2 corresponding sides
= 6/8
= 3/4 answer
