Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library.
1 answer:
Answer:
12 miles
Step-by-step explanation:
From the graph given :
Mike's travel :
School to Mall= 16 miles
Mall to Library = 30 miles
Total travel = 16 + 30 = 46 miles
Henry's travel :
From school to Library = Hypotenus :
Distance can be obtained using Pythagoras :
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √(30² + 16²)
Hypotenus = √1156
Hypotenus = 34 miles
Difference in Distance covered :
(46 miles - 34 miles) = 12 miles
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Answer:
Cost to rent one tank=226.08 Dollars
Step-by-step explanation:
Radius of the cylindrical tank=3 feet
Height of the tank= 2 feet
Cost to rent one tank= Volume of one tank * cost to rent one cubic feet of volume
Volume of the cylindrical tank:
=
As,
Putting the values in the formula:
Volume of the tank:
Cost to rent one cubic feet= 4 Dollars
Cost to rent 56.52 Cubic feet of one tank;
= 4*56.52
=226.08 Dollars
<h3>1. How many inches per minute does London's elevation change between 4 minutes and 8 minutes. </h3>
The question actually asks for the slope of the line that stands for the points why? because the questions tells us that London's elevation changes between 4 minutes and 8 minutes here. Hence, to find the slope of this line we have to use the following formula:
<em>So London's elevation changes 0.75 inches per minute</em>
<em></em>
<h3>2. During which time period does London's elevation change the fastest?</h3>The greater the absolute value of the slope of the line the faster London's elevation changes. Since this is a Piecewise function, we must analyze each period.
- FIRST:
→ Between 0 minutes and 4 minutes the function is constant, so there is no any change here.
→ Between 10 minutes and 14 minutes the function is constant, so there is no any change here.
→ Between 18 minutes and 22 minutes the function is constant, so there is no any change here.
So the solution is not in these parts of the function.
- SECOND:
→ Between 4 minutes and 10 minutes the function has a positive slope, so there is change here.
In the previous item we calculated the slope between 4 and 8 minutes that is the same slope between 4 and 8 minutes and equals 0.75.
→ Between 14 minutes and 18 minutes the function has a positive slope, so there is change here.
Let's take two points here, say,
As you can see, the absolute value here is 1 that is greater than 0.75.
<em>In conclusion, London's elevation changes the fastest between 14 and 18 minutes</em>