Answer: 385 miles
Step-by-step explanation:
$120 - $43.01 = $76.99
$76.99 = 7699 cents
7699/20 = 384.95 miles
So, the business man can travel
385 miles on the $120.
Hope this helps.
:-)
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Let the area be y .
Area = (base) × (height)
Base = 2x
Height = h
Let the area of the rectangular pens be y .
∴ y = 2xh
Perimeter of all the fencing = 4x+3h
∴ 4x+3h = 120
now we solve for h
3h = 120-4x
h = 40 - 4/3 x
Now we will substitute this value in the above first equation:
y = 2xh
or, y = 2x (40 - 4/3 x)
or, y = 80x - 8/3 x²
Now for the maximum area we have to find the first order differentiation of y
now,
dy /dx = 80 - 16/3 x
At dy/dx = 0 we get the value of x for which y is maximum.
80 - 16/3 x = 0
or, - 16/3 x = -80
or, x = 15 feet
Hence height = 40 - 4/3 x = 40 - 20 = 20feet
Maximum area = 2xh = 2×15×40 = 1200 square feet
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
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Answer:
angle of refraction at first surface is 22.74°
Step-by-step explanation:
Given data
thickness = 1.50 cm
n = 1.52
angle = 36.0°
to find out
angle of refraction at first surface
solution
we will apply here Snells law that is
n1 sinθ1 = n2 sinθ2
θ2 = sin^-1 ( n1/n2) sin θ1
here n1 is 1 and n2 is 1.52 and θ1 = 36.0°
θ2 = sin^-1 ( n1/n2) sin θ1
θ2 = sin^-1 ( 1 / 1.52 ) sin36
θ2 = 22.74°
angle of refraction at first surface is 22.74°
Answer:
c
Step-by-step explanation:
because it would have many solutions