The answer should be D.
Hope it helped you.
Answer:

Step-by-step explanation:
The original questions is suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis.
To find the distance ant walked we find the arc length of the sector with central angle 240 degree and radius =1 (unit circle)
arc length of a sector =
arc length of a sector =
arc length of a sector =

Answer: 1) AC = 13
The formua does not actually apply to all of the problems.
Step-by-step explanation:
1) The absolute value of -8 is added to the absolute value of 5. 8+5=13
2) Subtract the length of the EF from EG to get the length of FG 21 -6 = 15
3) Take what's given and create an equation to solve. 4x + 15 +39 =110. 4x = 110 - (15+39).
4x =110-54. 4x =56. x=56/4. x=14
4) Create another equation. You have two segments that add up to the length of EG, given =23
EF+FG=EG
(2x-12)+(3x-15)=23
5x - 27 = 23
5x= 23+27 5x =50. x = 10
Substitute 10 for x
EF=2(10) -12 EF=8
FG=3(10)-15. FG=15
EF+FG =EG.
8 + 15 = 23
5) 2/5 of 25 is 10 So EF is 10. Subtract from 25 to get FG
FG = 15
I hope this helps you.
Answer:
25150
Step-by-step explanation:
First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)
So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.
To do this without spending hours writing them down, we can use this formula:

If we plug in our values, we have:

S = 50 * (8 + 495) = 50 * 503 = 25150
Answer:
16
Step-by-step explanation:
Lets assume x is Elgas' age
And y is Alvins age
we know that alvin is 11 years younger than Elga which means,
x=y+11
and the sum of their age is 43
x+y=43
solve it and you get 16