Answer:
The work done is 4386.6 J.
Step-by-step explanation:
The work is given by:

Where:
F: is the applied force = 42 pounds
d: is the displacement = 85 feet
Since the force is applied at an angle (θ) of 25° with the horizontal we have:


Therefore, the work done is 4386.6 J.
I hope it helps you!
Answer:
Step-by-step explanation:
Let the coordinates of d be (x,y)
The midpoint of (x,y) and (-5,-3) is equal to ((-5+x)/2, (-3+y)/2)
this should be equal to the coordinates of e, (-6,4)
we have (-5/2+x/2, -3/2+y/2)
-5/2+x/2 = -6
-5 + x = -12
x = -7
-3/2+y/2 = 4
-3+y = 8
y = 11
Therefore the coordinates of d are (-7,11)
Answer:
θ = 280°
Step-by-step explanation:
We assume your intended equation is ...
θ = 14π/9 . . . . radians
π radians is 180°, so we can simply put 180° where π is in your equation.
θ = 14(180°)/9
θ = 280°
City hall to post office = 6 1/2 miles = represented by f
city hall to library site = 1 1/4 miles = represented by d
library site to post office = unknown. = represented by e
City hall to library site PLUS library site to post office IS EQUAL to city hall to post office
d + e = f
1 1/4 + e = 6 1/2
find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2) - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4 distance from library site to post office.
To check:
d + e = f
1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2
Answer:
<em>Yes.</em>
Step-by-step explanation:
<em>3.5 + 5.5 > 7.8</em>