Answer:
central angle=18
arc length=2.5 π feet
area of a sector=31.25π square feet
Step-by-step explanation:
Given
wheel radius=25 feet
attached cars=20
Space between cars along the circumference of wheel= 360/20
=18
Finding arc length:
arc length= radius x angle(in radians)
angle in radian = 18 x π/180 = 0.1π radians
arc length = 25 x 0.1π
=2.5π feet
Area of the circle = πr^2
Area of the circle = π(25)^2
Area of the circle = 625π square feet.
As the ratio of the central angle to the full circle angle is proportional to the area of the sector to the complete circle:
central angle/360=area of sector/area of circle
Area of sector= area of circle x 18/360
= 625π(1/20)
=31.25π !
Answer:
Step-by-step explanation:
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Answer:Search it up
Step-by-step explanation:
<span>Y = 2x + 4
16x + 4y = 40
substitute </span>Y = 2x + 4 into <span>16x + 4y = 40
</span><span>16x + 4y = 40
</span>16x + 4(2x + 4) = 40
16x + 8x + 16 = 40
24x = 40 - 16
24x = 24
x = 1
Y = 2x + 4
Y = 2(1) + 4
Y = 6
answer (1, 6)