Answer:
tan−1(StartFraction 6.9 Over 9.8 EndFraction)
Step-by-step explanation:
tan−1(StartFraction 6.9 Over 9.8 EndFraction)
tan = opp/adj = 9.8/6.9
tan -1 = 1 / tan = 1 / (9.8 /6.9) = 6.9 /9.8
Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.
Step-by-step explanation:
C(x) = 20 + 0.20(x − 60)
C(x) ≤ 60
20 + 0.20(x − 60) ≤ 60
0.20(x − 60) ≤ 60 - 20
0.20x - 12 ≤ 40
0.20x ≤ 40 + 12
0.20x ≤ 52
x ≤ 52/0.2
x ≤ 260
This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.
#1 is incorrect. The first equation says that his grandmother is not more than 80 years old. If you confine yourself to whole numbers, then she could be 80 but not more. That inequality should be written as g < 81 or if you are a purist, g≤ 80.
The second equation is correct. At the very most her age is equal to 3k - 3 so at most it would be written as g = 3k - 3.
Since it is not that much, you would write it as g ≤ 3k - 3
The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29
