Answer:
x = 15 ft
y = 15 ft
A(max) = 225 ft²
Step-by-step explanation:
Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:
A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120
4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x
Area of the garden as a function of x is:
A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²
Taking derivatives on both sides of the equation
A´(x) = 30 - 2*x
A´(x) = 0 ⇒ 30 - 2*x = 0
2*x = 30
x = 30/2
x = 15 ft
And y = ( 30 - x )
y = 15 ft
A(max) = 15*15
A(max) = 225 ft²
Answer:
A Alternate interior angles of parallel lines are congruent
Step-by-step explanation:
The referenced angles (1, A), (3, C) are alternate interior angles, not corresponding or exterior. The symmetric property does not apply. The only answer choice with any applicability is the one shown above. (It is also the right choice.)
Answer:
Step-by-step explanation:
Yes the company can hire 6 carpenters and 12 pumbers
So first lets find out how much it costs to have 6 carpenter for $220 a day.
$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day.
Now lets find how much it cost to 12 plumbers at $260 a day.
$260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.
The total amount you have to pay to the workers is:
$3120 + $1320 = $4440
Your budget was $4500 so the total costs for the workers is $4440 which means you can hire those workers and you would still have $60.
Answer:
- 1.6
Step-by-step explanation:
If divide these to numbers without the negative, you'll get 1.6
Then you can add the negative sign to the 50 and 1.6 and you'll get the correct answer... btw I'm just lazy and that's my way of dividing negative numbers.
Answer:
1/4 is A and 1/20 is B
Step-by-step explanation:
Not much of an explanation needed
