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Marrrta [24]
3 years ago
15

If you have 36 ft of fencing what are the area of the different rectangles you could enclose with the fencing?consider only whol

e _number dimensions.
Mathematics
2 answers:
n200080 [17]3 years ago
6 0

The fence you have must fit the perimeter of the rectangle.

With 36 feet of fence, these are the rectangles that you can enclose:

1-ft x 17-ft . . . Area = 17 ft²

2 x 16 . . . Area =  32 ft²
3 x 15 . . . Area =  45 ft²
4 x 14 . . . Area =  56 ft²
5 x 13 . . . Area =  65 ft²
6 x 12 . . . Area =  72 ft²
7 x 11 . . . Area =  77 ft²
8 x 10 . . . Area =  80 ft²
9 x 9 . . . Area =  81 ft²


yuradex [85]3 years ago
4 0
I would like to add to this. The best shape to get the largest area would be a circle
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A car repair will cost $100 for parts plus $50 per hour for labor. Enter the function y that represents the total cost in dollar
Andreas93 [3]

Answer: y = $50x + 100

  • $100 is the y-intercept
  • $50 is the slope

7 0
3 years ago
A person purchased 5k + 2 items for a total cost of 35k 2 + 29k + 6. Find the average cost per item of this purchase.
olchik [2.2K]

Answer:

\boxed{7k + 3}

Step-by-step explanation:

Average cost = total cost/number of items = (35k² + 29k + 6)/(5k + 2)

Perhaps the best way to solve this problem is to use long division.

          <u>              7k  + 3  </u>

5k + 2)35k² + 29k + 6

          <u>35k² +  14k</u>              

                       15k + 6

                       <u>15k + 6</u>

                                0

Thus,

\frac{35k^{2}+29k+ 6}{5k + 2} = 7k+3

The average cost per item is \boxed{7k+3}.

7 0
3 years ago
Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. Using the formula H(t
Sedaia [141]

Answer:

The maximum height of soccer ball  is 12.25 ft.

Step-by-step explanation:

It is given that Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. It means v = 28 ft.

Given formula is

H(t)=-16t^2+vt+s

The initial height of ball is 0.

H(0)=-16(0)^2+v(0)+s

0=s

The height of ball defined by the function

H(t)=-16t^2+(28)t+0

H(t)=-16t^2+28t

It is a downward parabola and the vertex of a downward parabola is the point of maxima.

The vertex of a parabola f(x)=ax^2+bx+c is

(\frac{-b}{2a},f(\frac{-b}{2a}))

\frac{-b}{2a}=\frac{-28}{2(-16)}=0.875

H(0.875)=-16(0.875)^2+28(0.875)=12.25

Therefore the maximum height of soccer ball  is 12.25 ft.

5 0
3 years ago
Felipe made $221 for 17 hours of work.
VMariaS [17]
He would have to work 13 hours

4 0
2 years ago
Part A: Explain why x = 5 makes 4x - 1 5 19 true but not 4x - 1 &lt; 19.
Westkost [7]

9514 1404 393

Answer:

  • 19 ≤ 19 . . . true
  • 19 < 19 . . . false
  • x = 9

Step-by-step explanation:

A) A number cannot be less than itself, but can be equal to itself.

In each case, the left side of the inequality evaluates to 19:

  4(5) -1 = 20 -1 = 19

It is true that 19 is less than or equal to 19. This is true because 19 = 19.

It is not true that 19 is less than 19. A number cannot be less than itself.

__

B) 5x +2 = 47

  5x = 45 . . . . . . subtract 2 from both sides

  x = 9 . . . . . . . . . divide both sides by 5

The element 9 from the set is the solution to the equation.

6 0
3 years ago
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