Answer:
No. The ladder is too steep.
Step-by-step explanation:
Length of ladder = 17 feet. This is the hypotenuse.
Side a of a right triangle = 16.6
To answer this, you need one of the trigonometric functions.
Opposite = 16.5
hypotenuse = 17
The function you need is the sine function.
Sin(theta) = opposite / hypotenuse
sin(theta) = 16.5 / 17
Sin(theta) = 0.97059
theta = sin-1(0.07059)
theta = 76.07
No the ladder is too steep.
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
Answer:
Square root of 16.
Step-by-step explanation:
Square root 16 = 4 which is rational.
All the rest have an irrational square root.
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