Answer:
-390 mph
Step-by-step explanation:
Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...
d² = a² + b²
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
Solving for d', we get ...
d' = (a/d)a' +(b/d)b'
The value of d at the time of interest is ...
d = √(a² +b²) = √(30² +40²) = √2500 = 50
Then the rate of change of separation is ...
d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph
d' = -390 mph
The distance between planes is decreasing at 390 miles per hour.
Answer:
153 points
Step-by-step explanation:
Set up a proportion:
34/4 = x/18.
18/4 does not equal a whole number. So, reduce 34/4.
34/4 becomes (when divided by 2 on both the top and the bottom) 17/2.
18/2=9. 9*17=153.
ANSWER: 11.08
EXPLANATION: Add a zero after the 9 to make the number 29.90. Then subtract normally.
Sorry, but the picture is too blurry. Can you write them down?
Answer:
$740
Step-by-step explanation:
244.20= x(.33)
244.2/.33= x(.33)/.33
740=x
