The length and width of the garden will be obtain as follows:
let the length be x ft, the width will be (x+3.5)ft
area of the bed will be:
A=length*width
11.76=x(x+3.5)
11.76=x^2+3.5x
thus
x^2+3.5x-11.76=0
solving this by quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
thus plugging in the values we obtain
x=[-3.5+/-sqrt(3.5^2-4(-11.76*1))]/2
x=[-3.5+/-sqrt59.29]/2
x=[-3.5+/-7.7]/2
x=4.2 or -11.2
thus the length will be x=4.2 ft and the width will be x-3.5=0.7 ft
the complete question in the attached figureLet
A°-----------> <span>the same central angle
</span><span>
For the larger circlelength of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m
360</span>°<span> (full circle) has a length of------------> 75.36 m
A</span>°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°
For the smaller circlelength of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m
360° (full circle) has a length of------------> 47.1 m
76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle
the answer isthe length arc of the smaller circle is 10 m
Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
Answer:
subtract 7 from both sides
2x < 7- 7
subtract 7 from 7 to get 0
2x < 0
product of two numbers is < 0 if one is > 0 and the other is < 0. since 2> 0, must be < 0.
x < 0
Answer:
2 67/100
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