Answer:
x = 98°
Step-by-step explanation:
95 + 53 + (180 - x) = 180
148 + 180 - x = 180
328 - x = 180
328 - x + x = 180 + x
x + 180 = 328
x + 180 - 180 = 328 - 180
x = 98°
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Answer:
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Step-by-step explanation:
20/100 = 0.2
0.2 * 39.50 = 7.90
They should leave a $7.90 tip.
5/100 = 0.05
39.50 * 0.05 = 1.975 and rounds to 1.98
They should pay $1.98 in sales tax.
