Step-by-step explanation:
the speed is 130 miles / hour.
that means the train travels 130 miles in 1 hour.
so, the question is, how far is it traveling. when it is going with that speed for 6 hours ?
well, 130 × 6 = 780 miles.
formally, speed is "distance / time".
multiplying this by some time, we have then an expression of "(distance / time) × time", which is then simply "distance".
Answer:
10,692
Step-by-step explanation:
GCF stands for Greatest Common Factor.
The way to find it is easy once you have the prime decomposition.
Search for common factors in the decomposition and take the least power, then multiply them all.
So, in our case, as the numbers are already broken down into prime factors
, we have

Answer:
0.57, which is a number between 0 and 1
Step-by-step explanation:
The fraction 4/7 is approximately equal to 0.57 as a decimal, so you would plot 4/7 where 0.57 should go
Here’s the Answer for this equation
Answer:
20/29
Step-by-step explanation:
sin θ = 21/29
Use Pythagorean identity:
sin² θ + cos² θ = 1
(21/29)² + cos² θ = 1
441/841 + cos² θ = 1
cos² θ = 400/841
cos θ = ±20/29
Since 0° < θ < 90°, cos θ > 0. So cos θ = 20/29.