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:
9x + 17
Step-by-step explanation:
(3x - 1) + (4x + 7) + (2x + 11)
= 3x - 1 + 4x + 7 + 2x + 11
= 3x + 4x + 2x - 1 + 7 +11
= 9x + 17
Answer:
4y = 3x + 4
3x-4y = -4 is correct
Step-by-step explanation:
This is what we do.
We first express the first equation in the form;
y = mx + c
where m represents the slope of the line
Thus we have;
4y = 3x -7
divide through by 4
y = 3/4x -7/4
Thus the slope here is the coefficient of x which is 3/4
Now, since the lines are parallel, it means that their slopes are equal
So the slope of the other line too is 3/4
We now use the point slope form to find the equation of this other line
Mathematically, that would be;
y-y1 = m(x-x1)
where (x1,y1) = (-4,-2)
Substituting this into the point slope equation, we have;
y-(-2) = 3/4(x-(-4))
y + 2 = 3/4(x + 4)
Cross multiply
4y + 8 = 3x + 12
4y = 3x + 12-8
4y = 3x + 4
Answer: 45
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Work Shown:
n = number of rolls = 150
p = probability of rolling a "1" = 0.3
n*p = expected number of "1"s that show up out of the 150 rolls
n*p = 150*0.3
n*p = 45
We expect about 45 ones will show up.
Answer:
B
a circle with a diameter of 19.3 inches
