Answer:
Step-by-step explanation:
- Start time = 2 PM
- Speed of the first train = 50 mph
- Speed of the second train = 60 mph
- Trains head same direction
- The second train spends 3 hour less time than the first but both take same distance
<u>Let the time in travel for the first train be x, then we have equation for distance:</u>
- 50x = 60(x - 3)
- 50x = 60x - 180
- 60x - 50x = 180
- 10x = 180
- x = 18 hours
<u>Time when the second train caches up the first one:</u>
- 2 PM + 18 hours = 8 AM next day
Answer:
K=24
Step-by-step explanation:
Add 60 on both sides
10k=240
Now divide 10 on both sides
240/10=24
10/10k=k
k=24
Answer:
tan C = 3/4
Step-by-step explanation:
sin C = opposite over hypotenuse
sin C = 3/5
BC = 5
AB = 3
We can use the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2= 25
Subtract 9 from each side
9-9+b^2=25-9
b^2= 16
Take the square root of each side
sqrt(b^2)= sqrt(16)
b = 4
AC = 4
Tan C = opp side/ adj side
tan C = AB/ AC = 3/4
Answer:
18
Step-by-step explanation:
5 scores so far + next quiz =6 scores
6 times 16=96
She has to get a quiz score sum of 96 to get an average of 16
18+15+16+14+15=78
96-78=18
