The width of rectangle is 6.
Step-by-step explanation:
Given,
Area of rectangle; w²+4w=60
As w is the width, we will solve the equation to find w.
Subtracting 60 from both sides
Factorizing the equation;
Either,
w+10=0 => w=-10
Or,
w-6=0 =>w=6
As width cannot be negative, therefore
Width = 6
The width of rectangle is 6.
Keywords: area, rectangle
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Answer:
the scenic route take 6h 40m
Step-by-step explanation:
first we have to make an equation that represents the relationship of each route
x = scenic route
y = direct route
x = y + y * 25/100
now we have to make an equation that represents the routes over time
x + y = 12
we replace the x by what is the same in the first equation (y + y * 25/100) in the second equation
x + y = 12
(y + y * 25/100) + y = 12
2 y + 0.25 y = 12
2.25y = 12
y = 12/2.25
if we spend this in minutes multiplying it by 60
y = 12/2.25 * 60 = 320 m = 5h 20m
x + y = 12
x + (5h 20m) = 12h
x = 12h - 5h 20m
x = 6h 40m
If you do it 144 times that is (3+9)*12
This means that 12 times 3 red and 9 blue counters will be chosen that means that 9 blue counters will be chosen 12 times. 9*12 is 108.
This means blue counters will be chosen 108 times.
This can be checked as 108/3 would give you the number of red counters which is 36 and 108+36 is 144
Answer:
7x+28/5
Step-by-step explanation:
:)
Trigonometry would help with this question.
The area of a regular hexagon is ((3√3)s^2)/2 where s is the side.
Plugging in 2 gives us 6√3 or 10.39 feet.
