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Pavel [41]
2 years ago
9

What is the range of AB?

Mathematics
1 answer:
lana66690 [7]2 years ago
3 0

a, b, c - sides of a triangle

Therefore:

a + b > c

a + c > b

b + c > a

---------------------------------

We have a = AB, b = 140mi, c = 100mi.

(1)     a + b > c

AB + 140 > 100    <em>subtract 140 from both sides</em>

AB > -40 → AB > 0

----------

(2)    a + c  > b

AB + 100 > 140      <em>subtract 100 from both sides</em>

AB > 40

-----------

(3)    b + c > a → a < b + c

AB < 140 + 100

AB < 240

<h3>Answer: 40 < AB < 240</h3>
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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
6 boxes weigh the same amount. If the boxes weigh 60 pounds all together, how many pounds does each box weigh. (hElp)
kolbaska11 [484]

Answer:

Each would equal 10 lbs.

Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

Step 1:  2 hours = 4/4 +4/4

Step 2: 4/4 - 2/4 = 2/4

Step 3: 4/4 - 3/4 = 1/4

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3 years ago
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taurus [48]

Answer:

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Step-by-step explanation:

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BPQ = ((4(13) + 12)°

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