Answer: 65mph, 75mph
Explanation:
Let us assume x to be the speed of the slower train, in mph (miles per hour).
Then the speed of the other train is (x+10) mph, according to the question.
We then would have an equation like this
1.6x + 1.6(x+10) = 224.
This is because, the first addend in the left side is the distance covered by the slower train.
The second addend in the left side is the distance covered by the faster train.
The sum is 224 miles, because they together covered all the distance to the moment when they meet each other.
1.6x + 1.6x + 16 = 224
3.2x + 16 = 224
3.2x = 224 - 16
3 2x = 208
x = 208/3.2
x = 65
Thus the speed of the slower train is 65mph, and that of the other train is 65 + 10 = 75mph
Answer:
B) 8.0 m
Explanation:
First of all, we can find the frequency of the wave, which is equal to the number of waves that pass a given point per second. Therefore:
which means 1.25 waves/second.
Then we can find the wavelength of the water waves, which is given by:
where
v = 10.0 m/s is the speed of the wave
f = 1.25 Hz is the wave frequency
Substituting, we find
Answer:
Furthermore, the Pythagorean theorem works when the two added vectors are at right angles to one another - such as for adding a north vector and an east vector.
Answer:
1275.61° C
Explanation:
The resistance of a conductor varies as a function of temperature and it is given as follows
R_0 is the resistance at temperature T_0, R is the resistance at T and α is the coefficient of temperature of resistance
α= 0.0045/°C
R_0 = 20.3Ω T_0 = 20°C and R= 135Ω
T= 1275.61° C
Therefore the temperature of the hot filament = 1275.61° C
The average distance from the Sun to Neptune is about 2.795 billion miles.
That's roughly 0.00048 of a light year .