Answer:
5 ft/s
Step-by-step explanation:
Let L be the length of the ladder. The relation between the angle and distance X is:
X = L * sin θ the change of X will be:
dX/dt = L * cos θ If we evaluate the expression when θ = π/3, we get the change of X:
dX/dt = 10 * cos(π/3)
dX/dt = 5 ft/s
Answer:
We can determine which image is correct by the second equation, only in one of the images the line is correct.
X-y=1
So x = 1+ y
If y is one x should be two.
Only in one image that is true, the third image.
Answer:
94 children, 64 students, and 47 adults attended the movie theater.
Step-by-step explanation:
Let; a be for adults, s for students, and c for children.
Make a system to solve for the amount of people.
c/a = 2
a + 2a + s = 205
3a + s = 205
Simplify.
s = 205 - 3a
s = 205 - 3a
c = 2a
Plug it in.
5c + 7s + 12a = 1482
10a + 7(205 -3a) + 12a = 1482
10a + 1435 - 21a + 12a = 1482
a + 1435 = 1482
a = 47
Substitute.
c = 2(47)
c = 94
Solve.
s = 205 - 3(47)
s = 64
I think it’a nothing, do you have a bone of the above