CENTRAL ANGLE:
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians
</span>
<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.
</span>
<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>
Answer:
7.2
Step-by-step explanation:
First differences:
0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2
0.6, 1.0, 1.4, 1.8
Second differences:
1.0-0.6, 1.4-1.0, 1.8-1.4
0.4, 0.4, 0.4
For the next term, add 0.4 to the last term from the first differences, and add the sum to the last term of the quadratic sequence:
0.4+1.8=2.2
2.2+5.0=7.2
∴ The next term in the sequence is 7.2
Answer:
y= 2x + 10
Step-by-step explanation:
The variable depends on the $2 so, the green box should be 2
Answer:
Step-by-step explanation:
a) if the population at the beginning of the year 2000 was 7500 people,
The 1-year percent change in the city's population would be
3.6/100 × 7500 = 270
b) The population after 1 year is
7500 - 270 = 7230
The percentage of the previous value of the population to its new value for each year is
7230/7500 × 100 = 96.4%
c) the 1-year growth factor for the population of the city would be
(1 - 0.036)^1 = 0.964
d) the function, g that determines the population of the city (in thousands of people) in terms of the number of years t since the beginning of 2000 would be
g = 7500(1 - 0.036)^t
g = 7500(0.964)^t