Answer:
Dimensions of printed area
w = 8.95 cm
h = 13.44 cm
A(max) = 120.28 cm²
Step-by-step explanation:
Lets call " x " and "y" dimensions of the poster area ( wide and height respectively) . Then
A(t) = 180 cm² = x*y y = 180/ x
And the dimensions of printed area is
A(p) = ( x - 2 ) * ( y - 3 ) then as y = 180/x we make A function of x only so
A(x) = ( x - 2 ) * ( 180/x - 3 ) ⇒ A(x) = 180 - 3x - 360/x +6
A(x) = - 3x - 360 /x + 186
Taking derivatives on both sides of the equation we get:
A´(x) = -3 + 360/ x²
A´(x) = 0 -3 + 360/ x² = 0 -3x² + 360 = 0
x² = 120 ⇒ x = √120 x = 10.95 cm
And y = 180 / 10.95 ⇒ y = 16.44 cm
Then x and y are the dimensions of the poster then according to problem statement
w of printed area is x - 2 = 10.95 - 2 = 8.95 cm
and h of printed area is y - 3 = 16.44 - 3 = 13.44 cm
And the largest printed area is w * h = ( 8.95)*(13.44)
A(max) = 120.28 cm²
Answer:
$20
Step-by-step explanation:
<em>20% is equal to 20/100 therefore, if 5 x 20 is 100, you would multiply 5 x 4 and get 20, </em>
the reason you don't subtract the $4 is because it says "was" so the answer is $20
I believe for the first part x would equal -2 and y would equal -1
hope this helps!
Answer:
It's A.
Step-by-step explanation:
I times 3.14x8² and it equals 50.24cm² Hoped it helped.
3 4/5
=3.8
3 5/6
=3.8333333333333...
3.95
Therefore, 3 4/5 is the smallest of the three numbers.
