<span>Point A with coordinates (x,y) rotated 180 degrees around O gives point A' with coordinates (-x,-y).
Hope this helps :D
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An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.
a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13
an = 130 + 13(n - 1)
an = 130 + 13n - 13
an = 117 + 13n
an = 13n + 117
Alright, lets get started.
One report takes to file an average of = 45 minutes
Means 12 reports takes to file time = 12 * 45 = 540 minutes
12 reports filing total time = 540 minutes
We are asked to find time to file 75 % of them.
Which means 75 % of 540
= 540 * 75/100
= 540 * 0.75
= 405 minutes
We could convert it into hrs dividing with 60.
405 / 60 = 6.75 hrs
Means it will take 6.75 hrs to file 75% of them: Answer
Hope it will help :)
Answer:
cos(∅) = 3/5
Step-by-step explanation:
cos(∅) = adjacent/hypotenuse
We don't know what the hypotenuse is so we gotta use Pythagorean theorem to find it.
a² + b² = c²
4² + 3² = c²
√(4² + 3²) = c
c = 5 , this is our hypotenus
cos(∅) = adjacent/hypotenuse
cos(∅) = 3/5