Answer:
16008
Step-by-step explanation:
Sum of an arithmetic sequence is:
S = (n/2) (2a₁ + (n−1) d)
or
S = (n/2) (a₁ + a)
To use either equation, we need to find the number of terms n. We know the common difference d is 1 − (-9) = 10. Using the definition of the nth term of an arithmetic sequence:
a = a₁ + (n−1) d
561 = -9 + (n−1) (10)
570 = 10n − 10
580 = 10n
n = 58
Using the first equation to find the sum:
S = (n/2) (2a₁ + (n−1) d)
S = (58/2) (2(-9) + (58−1) 10)
S = 29 (-18 + 570)
S = 16008
Using the second equation to find the sum:
S = (n/2) (a₁ + a)
S = (58/2) (-9 + 561)
S = 16008
54.8. Hope that helped :)
Answer:
C. x > 6
Step-by-step explanation:
Solve for x by simplifying both sides of the inequality, then isolating the variable.
Answer:
Sine Formula or Sine Rule :
BC / sinA = AC / sinB
60 / sinA = 84.95 / sin(115°)
60 / sinA = 84.95 / 0.91
60 / sinA = 93.7
sinA = 60 / 93.7
sinA = 0.64
A = arc(sin0.64)
A = 39°48'30"
A ≈ 40°
Hence, the value of angle BAC is <u>40°</u>
- <u>40°</u> is the right answer.
35% are in display cases which means 65% are on the wall.
this means 195 cars is 65% of the collection.
to get total number of cars in the collection divide 195 by 65%
195/0.65 = 300
answer: 300 total cars
