Oh okie so sorry sorry about the delay in
Angle of fire in degrees = 90 + 30 =120 degrees
Angle of fire radians =180 degrees = π
120* π/180=120π /180 OR 4π/6 OR 2π/3
Answer:
Measure of CD = 17 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the given rectangle = 2(length + width)
= 2[(x + 3) + (2x - 1)]
= 2(3x + 2) units
Perimeter of triangle EFG = EF + FG + GE
= (x - 7) + (4x - 8) + (3x + 1)
= (8x - 14)
= 2(4x - 7) units
Since, perimeters of both the figures are equal,
2(3x + 2) = 2(4x - 7)
3x + 2 = 4x - 7
4x - 3x = 7 + 2
x = 9
Measure of CD = (2x - 1)
= 2(9) - 1
= 17 units
The approximate area that is within range of the motion sensor is 4975 square meters
<h3>How to determine the area of the range?</h3>
The figure is not given, however the area of the range can be calculated without the figure.
The given parameters are:
Angle, ⊕ = 135°
Radius, r = 65 meters
The area of the range is calculated using the following sector area

This gives

Evaluate
A = 4974.9375
Approximate
A = 4975
Hence, the approximate area that is within range of the motion sensor is 4975 square meters
Read more about sector areas at:
brainly.com/question/16736105
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