61 = 3b + 7
3b + 7 = 61
3b = 61 - 7
3b = 54
b = 54/3
b = 18.
Step-by-step explanation:
Regression Equation has the firm of,
Y = aX + b
please refer to my attachment for a and b.
So prepare table with columns of Y, X sq(x),......
then work out a and b according.
Finally sub a and b into the equation Y = aX + b
Answer:
2 hours and 30 minutes to fill it up
Step-by-step explanation:
Sum is addition, less than is subtraction, equals is is, division is of and multiplication is per
To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>