What is the area of triangle ABC with vertices A(-2, 1), B(-2, 3), C(2, 1)?
1 answer:
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Answer:
The angular speed is 3,227 rad/min
Step-by-step explanation:
Remember that
1 mile=63,360 inches
step 1
Find the circumference of the wheels
The circumference is equal to
we have
substitute
step 2
we know that
The speed of the wheel is 55 mi/h
<em><u>Convert to mi/min</u></em>
55 mi/h=55/60 mi/min
<u><em>Convert to in/min</em></u>
(55/60) mi/min=55*63,360/60 in/min= 58,080 in/min
we know that
The circumference of the wheel subtends a central angle of 2π radians
so
using proportion
Find out how much radians are 58,080 inches
therefore
The angular speed is 3,227 rad/min
Answer:
Step-by-step explanation:
We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.
Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.
We have been given that after 1 minute, Joey has eaten hot dogs.
Hot dogs eaten in next 9 minutes would be 9 times d that is .
Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes: .
Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:
Therefore, our required inequality would be .