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user100 [1]
3 years ago
10

The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is t

he range of the lengths of the fence?
Mathematics
2 answers:
ella [17]3 years ago
4 0

Answer:

12.5

its right

Step-by-step explanation:

Leona [35]3 years ago
3 0

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

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Solve the following system of equations by graphing and select the correct answer below:
JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute y=0 into the equation and solve for "x".

To find the y-intercept, substitute x=0 into the equation and solve for "y".

- For the first equation:

x-intercept

4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25

y-intercept

4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5

y-intercept

2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

x=5\\y=3

7 0
3 years ago
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Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the number of hou
kherson [118]
You have to take the amount of money payed, which in this case is 45.50, and divide it with 7.
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3 years ago
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Burl and Paul paint signs together on a scaffold. Compared to their weights plus the weight of the scaffold, the sum of tensions
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Answer:

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Step-by-step explanation:

If the scaffold is not accelerating either upward or downward, the sum of upward support forces is <em>the same as</em> the sum of downward weights being supported.

5 0
3 years ago
Please help me guys​
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Area of pond:

A=\pi r^{2}

r=1,5m

A=3,142*1,5*1,5=7,0695

Area of pond with path

B=\pi r^{2}

r=50 cm+1,5m=0,5m+1,5m=2m

B=3,142*2*2=12,568

Area of path:

12,568-7,0695=5,4985=5,50

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3 years ago
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Cómo resolver un problema de matemáticas <br> 1 3<br> _ + _ =<br> 6. 4
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