Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer:
See below ↓↓
Step-by-step explanation:
a₁ refers to the first term of the sequence.
That is clearly : a₁ = <u>6</u>
<u></u>
The formula for the nth term is :
- aₙ = a₁rⁿ⁻¹
- Common ratio (r) = quotient of consecutive terms
- r = -12/6 = -2
Therefore, the nth term is :
Answer: 13
Explanation:
Use Pythagorean theorem:
=> a^2 + b^2 = c^2
=> 5^2 + 12^2 = c^2
=> 25 + 144 = c^2
=> 169 = c^2
Take the square root of both sides:
=> sqrt(169) = sqrt (c^2)
=> 13 = c
Answer:
Step-by-step explanation:
<u>System Of Equations
</u>
We know the scale shows a false reading for the weights by a constant value. Let's call e the weight it adds or subtracts from the real weight it measures.
When the box is put on the scale, the real weight is b, but the scale shows
When the bag is weighted, the real value is g, but the scale shows
Finally, when both are measures, the real weight is b+g and the scale shows
We have formed a system of equations. It's easy to find the value of b, we just need to subtract the last two equations
