Answer: 274/3 and 137 ft
Step-by-step explanation:
Total fence used: 548 ft
So, perimeter will be 548 ft, including the fence that divides the land.
Consider the playground the drawing below.
__________x________
| |
| | y
| |
|__________________|
Let's consider that the playground is going to be divided parallel to y (and there's no problem, because if you choose parallel to x, the area will be the same). So, the perimeter (the sum of all sides) will be:
2x + 3y = 548
And the area
A = x.y
Isolating x, we have:
x = (548 - 3y)/2
Substituting the x in the Area equation:
A = (548 - 3y)/2 . y = 548y - 3y²/2 = 274y - 3/2y²
A = 274y - 3/2y²
So, it's a quadratic function. And, to find out the maximum area that the playground can have, we need to find the y-vertex of the parabola: y-vertex = Δ/4a
a = -3/2 b = 274 c = 0
Δ = 274² - 4.(-3/2).0 = 274² = 75076
Amax = -Δ/4a = -75076/4.(-3/2) = 75076/6 = 12512.7 ft²
y = -b/2a = -274/2.(-3/2) = 274/3 ft
x = (548 - 3y)/2 = (548 - 3.274/3)/2 = 274/2 = 137 ft
Answer:
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Step-by-step explanation:
Answer: (total amount paid - $40) / 0.05
Step-by-step explanation:
Given the following :
Monthly fee = $40
Additional fee = $0.05 per minute on phone
Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :
Total amount to be paid = monthly fee + additional fee
Additional fee = $0.05 × n
Where n = number of minutes on phone
Hence,
Total amount paid = $40 + $0.05n
If the amount paid is known, the number of minutes on phone can be calculated thus;
(Total amount paid - monthly fee) = $0.05n
n = (Total amount paid - monthly fee) / fee per minute on phone
(total amount paid - $40) / 0.05
<h3>Answer: x < -2, choice B</h3>
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Work Shown:
10x + 18 < -2
10x + 18-18 < -2-18 ... subtract 18 from both sides
10x < -20
10x/10 < -20/10 ... divide both sides by 10
x < -2
Maria spent 55 minutes on her art project and Juan spent 20 minutes on his. The different is 35 minutes or 7/12 hour.
Unsure what your answer options are.
