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yan [13]
3 years ago
10

The width of a fenced yard is 6 yards less than the length. And the perimeter is less than it equal to 72 yards. Write the inequ

ality (simplified) that u would use to solve for the dimensions of the fence.
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Answer:

Length = 21 yards

Width = 15 yards

Step-by-step explanation:

Let

Length = x

Width = x - 6

Perimeter ≤ 71 yards

Perimeter of a rectangle = 2 (length + width)

72 ≤ 2(x + x-6)

72 ≤ 2 (2x - 6)

72 ≤ 4x - 12

72 + 12 ≤ 4x

84 ≤ 4x

x ≤ 84/4

x ≤ 21

Length = x = 21 yards

Width = x - 6

= 21 - 6

= 15 yards

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iren [92.7K]

Answer:

−9.333

Step-by-step explanation:

(1): "6.75" was replaced by "(675/100)"

(675/100)+3/8*x-((13)*1/4)=0

Simplify   1/4

675  3         1

 (———+(—•x))-(13•—)  = 0  

  100  8         4

       3

Simplify   —

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Equation at the end of step

2

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  675     3          13

 (——— +  (— • x)) -  ——  = 0  

  100     8          4  

STEP

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Simplify   ——

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Equation at the end of step

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3 0
3 years ago
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What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm
vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0
3 years ago
Find the slope of a line that passes through the points (3, -1) and (-2, -5)
aleksklad [387]

Yo sup??

slope of a line=m

m=y2-y1/x2-x1

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Hope this helps

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Wittaler [7]
y=-1+6


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5 0
3 years ago
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Which point would be a solution to the system of linear inequalities ?
brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

y\leq \frac{4}{3}x+5 ----> inequality A

y\geq -\frac{5}{2}x+5 ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y  of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

-1\leq \frac{4}{3}(0)+5

-1\leq5 ----> is true

Inequality B

-1\geq -\frac{5}{2}(0)+5

-1\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

3\leq \frac{4}{3}(0)+5

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Inequality B

3\geq -\frac{5}{2}(0)+5

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therefore

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Inequality A

-6\leq \frac{4}{3}(-6)+5

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Inequality B

-6\geq -\frac{5}{2}(-6)+5

-6\geq 20----> is not true

therefore

The ordered pair is not a solution of the system

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Inequality A

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-6\leq21 ----> is true

Inequality B

-6\geq -\frac{5}{2}(12)+5

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therefore

The ordered pair is a solution of the system (makes true both inequalities)

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