Since the distance is 560 miles and the bus goes 268 miles per hour, the answer can be given as:
If 268=1 hour
560=?
560/268*1 hour =2(rounded to nearest ones)
Therefore it will take the train approximately 2 hours to travel between both cities.
We we are asked to solve this kind of problem we are asked to find the value of the value (x in this case). So the first thing we want to do isolate x by subtracting 5/12 from both sides.
x+5/12-5/12=5/8-5/12
Simplify
x=5/8-5/12
Reduce
x=3/3(5/8)-2/2(5/12)
x=15/24-10/24
x=5/24
Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
We have an equation for the surface area of a rectangular prism:
A= 2 (w*l+ l*h+ h*w)
Plug l= 16 in, w= 12 in, and h= 5 in into the above equation, we have:
A= 2 (12 in*16 in+ 16 in* 5 in+ 5 in* 12 in)= 664 in^(2).
The final answer is 664 in^(2).
Hope this is helpful~
