Answer:
Step-by-step explanation:
<u>Sum of the interior angles of a regular polygon:</u>
- S(n) = 180°(n - 2), where n- number of sides
<h3>Exercise 4</h3>
<u>Pentagon has sum of angles:</u>
- S(5) = 180°(5 - 2) = 540°
<u>Sum the given angles and find x:</u>
- x° + 122° + 100° + 90° + 144° = 540°
- x° + 456° = 540°
- x° = 540° - 456°
- x° = 84°
<h3>Exercise 5</h3>
<u>Hexagon has sum of angles:</u>
- S(6) = 180°(6 - 2) = 720°
<u>Sum the given angles and find x:</u>
- x° + 110° + 160° + 105° + 105° + 115° = 720°
- x° + 595° = 720°
- x° = 720° - 595°
- x° = 125°
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Answer:
(B)
Step-by-step explanation:
Volume of fluid in the tank =1000 gallons
Initial Amount of Salt in the tank, A(0)= 30 pounds
Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.
Rate In=(concentration of salt in inflow)(input rate of brine)
The resulting mixture is pumped out at the same rate, therefore:
Rate Out =(concentration of salt in outflow)(output rate of brine)
Therefore:
The rate of change of amount of salt in the tank,
Answer: 69
Step-by-step explanation:
Answer:
243,000 people
Step-by-step explanation:
First, what we need to do is to calculate the area of the region using the 5-mile radius
Mathematically, we can calculate this as the area of a circle
Area = pi * r^2
Our r here is 5 miles
Area = pi * 5^2 = pi * 25 = 78.54 square miles
Now to get the population, we know that per square mile we have 3,100.
Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people
To the nearest thousand, 243,000
