Answer:
280ft
Step-by-step explanation:
360/18=20
20x14=280
Answer:
5.18÷5=1.036 so round up to 1.04
Answer:
Center:(-6,-4)
Circumference:45.31
Area:163.4
Step-by-step explanation:
The given circle has diameter with endpoints P(-12,-8) and Q(0,0).
The center is the midpoint of P(-12,-8) and Q(0,0).
We use the midpoint rule to find the center.
Use the distance formula to find radius using the center (-6,-4) and the point on the circle (0,0) or (-12,-8).
The circumference is
The area is given by:
Answer:
x₁ = 1866.2 yd distance between ship and searchlight in C
x₂ = 2542.5 yd . distance between ship and searchlight in B
Step-by-step explanation:
The ship (point A) and the two searchlights points ( B and C) shape a triangle.
We have α = 38° ( opposite side x₁ or distance between ship and point C and β = 57 ° ( opposite side x₂ or distance between ship and point B then γ = 180 - ( α + β )
γ = 85°
Applying sin´slaw
x₁ / sin 38 = x₂/ sin57 = 3020 / sin 85
from sin table we find:
sin 38 = 0.6156
sin 57 = 0.8387
sin 85 = 0.9962
Then
x₁ / 0.6156 = 3020 / 0.9962
x₁ ( the opposite side to angle 38° ) / 0.6156 = 3031.5
x₁ = 3031.5*0.6156
x₁ = 1866.2 yd
x₂ = 3031.5 * 0.8387
x₂ = 2542.5 yd