A group of friends wants to go to the amusement park. They have $469.75 to spend on parking and admission. Parking is $10.75, an
d tickets cost $38.25 per person, including tax. Which equation or tape diagram could be used to represent the context if xx represents the number of people who can go to the amusement park?
1 answer:
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Answer:
The maximum error in the calculated area of rectangle is 5.4 cm².
Step-by-step explanation:
Given : The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measured of at most 0.1 cm in each.
To find : Use differentials to estimate the maximum error in the calculated area of rectangle ?
Solution :
The area of the rectangle is
The derivative of the area is equal to the partial derivative of area w.r.t. length times the change in length plus the partial derivative of area w.r.t. width times the change in width.
i.e.
Here,
Substitute the values,
Therefore, the maximum error in the calculated area of rectangle is 5.4 cm².
Answer:
333.3 meters per minute
Step-by-step explanation:
<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>
<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>
<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>
<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>
= (20*1000*1)/(1*1*60) m/min
= 333.3 meters per minute