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nikklg [1K]
1 year ago
6

The bed of a pickup truck measures 4 feet by 8 feet to the nearest inch, what is the length of the longest thin metal bar that w

ill lie flat in the bed
Mathematics
1 answer:
Helga [31]1 year ago
4 0

The bed of the truck is a rectangle, 4-ft wide and 8-ft long.

The diagonal of the rectangle is

                                 √ (4² + 8²)

                             =  √ (16 + 64)

                             =  √ (80)

                             =  8.9442... feet 

                        8.9442... feet =  8 feett  11.33 inches

Rounded to the nearest inch:    8 ft  11 in .   

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lesya692 [45]

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

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6 0
2 years ago
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is d
AVprozaik [17]

Answer:

  • y=250x+4000
  • y=400x+400

Step-by-step explanation:

Given that:

  • x represents the number of months of ownership; and
  • y represents the total paid for the car after ‘x' months.

<u>First Option (Leasing)</u>

250x - y + 4000 = 0

Expressing the equation in the Slope-Intercept Form y=mx+b, we have:

y=250x+4000

<u>Second Option (Financing)</u>

$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).

First, we determine the slope of the line joining (0,400) and (10,4400)

Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400

We have:

y=400x+b

When y=400, x=0

400=400(0)+b

b=400

Therefore, the Slope-Intercept Form of the second option is:

y=400x+400

<u>Significance</u>

  • In the first option, there is a down payment of $4000 and a monthly payment of $250.
  • In the second option, there is a down payment of $400 and a monthly payment of $400.

<u>Part B</u>

We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.

<u>i.e </u>

  • When x=0, y=$4000 for leasing
  • When x=0, y=$400 for financing

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2 years ago
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All numbers in each number add up to 9, i dont know if you understand me, 
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2+2+5=9
2+7=9
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