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kotegsom [21]
3 years ago
12

The length of a rectangular portrait is 1.5 times the width. The perimeter is 10 feet what is the length of the portrait

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0
The length of the portrait is 3 feet because 2+2= 4 and 3+3= 6 and 4+6= 10 feet
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QUICK!!! PLEASE HELP!!! 50 points.. and BRAINLIEST FOR THE QUICK AND CORRECT ANSWER.
faust18 [17]

Answer: e=-50|t-40|+2000

The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

Step-by-step explanation:

Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.

Then, total time taken to reach the peak = (Distance) ÷ (speed)

= (2,000 feet) ÷ ( 50 feet/minute)

= 40 minutes

Then, as the car moves down to the hill’s base, its elevation drops at the same rate.

The equation that models the cable car’s elevation, e, after t minutes is

e= (constant rate)|t- time to reach peak |+ Peak's height

e=-50|t-40|+2000

When the cable car’s elevation will be 750 feet after minutes, then we have

750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow  t=15\text{ or }t=65

Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

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