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Define x :
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Let the width be x
Width = x
Length = 4x + 7
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Formula :
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Perimeter = 2 (Length + Width)
Perimeter = 74
2(4x + 7 + x) = 74 // sub length and width into the equation
2(5x + 7) = 74 // combine like terms
10x + 14 = 74 // Apply distributive property
10x = 60 // Take away 14 from both sides
x = 6 // Divide by 10 on both sides
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Find Length and Width :
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Width = x = 6mm
Length = 4x + 7 = 4(6) + 7 = 31mm
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Answer: The length is 31mm and its width 6mm.
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A=(απr^2)/360=(απd^2)/1440 (r^2=d^2/4)
α=1440A/(πd^2)
s=απd/360 (where s=arc length) so
s=(1440Aπd)/(360πd^2)
s=4A/d and since A=10mi^2 and d=20mi
s=(4*10)/20
s=2 miles
Answer:
- see the attachment for a graph
- domain: all real numbers
- range: -6 and y>-5
Step-by-step explanation:
The graph below was created by a graphing utility.
It shows no horizontal gaps: f(x) is defined for all values of x, so the domain is all real numbers.
It shows a vertical gap between y=-6 and y>-5. So, the range is in two parts:
{-6} ∪ {y > -5}
COS(64°) = 3.2/x
multiply x to both sides to get COS(64°)x = 3.2
to get x by itself, divide 3.2 by COS(64°)
x = 3.2/COS(64°)
x=7.3
200kg I think being serious
