Answer:
5.12 minutes ≈ 5 minutes 7.2 seconds
Step-by-step explanation:
The flight path of the airplane is along the line ...
y = -125/135x = -25/27x
The perpendicular line through Mt. Rainier's location is ...
y = 27/25(x -56) -40
In standard form, these two equations are ...
- 25x +27y = 0
- 27x -25y = 2512
The point of closest approach has the coordinates that are the solution to these two equations:
(x, y) = (33912/677, 31400/677)
The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...
d = 1256√(2/677) . . . . . km
This distance can be converted to time using the speed of the airplane:
5.12 minutes after departing JBLM you will be closest to Mt. Rainier.
_____
The attached graph shows the geometry of the problem.
Answer:
= 1/4
Step-by-step explanation:
We can find the slope given two points by using the following formula
m = (y2-y1)/(x2-x1)
= (-4 - -2)/(-4 -4)
= (-4+2)/(-4-4)
= -2/-8
= 1/4
Girl- gotta be more specific
Answer:Jarvis's class average is 75
Step-by-step explanation:
The total possible average score for the math course is 100
a) If the teacher rates homework at 10%, it means that the total possible score for homework
is 10/100 × 100 = 10
If his homework average is 93, then his score would be
(93×10)/100 = 9.3
b) If the teacher rates quizzes at 30%, it means that the total possible score for quizzes
is 30/100 × 100 = 30
If his quiz average is 82, then his score would be
(82×30)/100 = 24.6
c) If the teacher rates test at 40%, it means that the total possible score for quizzes
is 40/100 × 100 = 40
If his quiz average is 72, then his score would be
(72×40)/100 = 28.8
d) If the teacher rates final exam at 20%, it means that the total possible score for quizzes
is 20/100 × 100 = 20
If his final exam is 60, then his score would be
(60×20)/100 = 12
Jarvis's class average would be
9.3 + 24.6 + 28.8 + 12 = 74.7
Approximately 75
