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
320 because you added the two numbers to get the total.
We know that
<span>63 2/3 feet----------------> (63*3+2)/3---------> 191/3 ft
</span>
1 ft-----------------> 12 in
191/3 ft----------------> X in
X=(191/3)*12------------> X=764 in
the answer is 764 in
#1)
Answer:
x=1 and y=12
Explanation:
y=5x+7
y=2x+10
This system should use substitution because the value of y is given in terms if x.
Substitution:
5x+7=2x+10
Solve:
3x=3
x=1
Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).
y=5x+7
y=5(1)+7
y=5+7
y=12
#2)
Answer:
x=-8 and y=2
Explanation:
y=2x+18
9y=-2x+2
This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.
Substitute:
9(2x+18)=-2x+2
Solve:
18x+162=-2x+2
20x=-160
x=-8
Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.
y=2x+18
Substitute:
y=2(-8)+18
Solve:
y=-16+18
y=2
