<h3>
Answer: 144 Joules </h3>
Steps Shown:
Work = Force * Displacement
Work = (36 Newtons)*(4 meters)
Work = (36*4) Newton meters
Work = 144 Newton meters
Work = 144 Joules
Note: The displacement must point in the same direction as the force applied.
Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain


Using the quadratic formula
where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:


We have two options: 
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length 
Answer:a is the correct option
Step-by-step explanation:
The table is divided into columns for month, sales and expense
Total number of sales for four months is determined by adding up the sales for each month. It becomes
35.75+65.34+12.15+49.68= $162.92
Total number of sales for four months is determined by adding up the expenses for each month. It becomes
43.18+52.24+41.09+59.50=196.01
Profit or loss = total sales - total expenses
Therefore 162.92-196.01 = - $33.09
It's a loss because it is negative
Answer:
$18.5685 or $18.56
Step-by-step explanation:
The answer is $18.56 because 123.79 multiplied by 15% is $18.56