Resolving horizontally . Make forces to the right positive
resultant force = 70cos30-60cos60 = 60.62-60 = 0.62 lbs
resolve vertically
resultant force = 120 sin60 - 70 sin30 = 103.92 - 35 = 68.92 lbs in downward direction
magnitude of the ressultant forsse = sqrt(68.92^2 + 0.62^2) = 68.92 lbs
direction of the force = tan-1 (0.62 / 68.82) = 0.52 degrees east of south or
a bearing of
90 - 0.52 = 89.48 degrees
Answer:
Choice A. P = I² · R where
- P is the power in the DC circuit,
- I is the current through the circuit, and
- R is the total resistance of the circuit.
Step-by-step explanation:
Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work
that the electrical force do when it moves charges
across a potential difference
:
W =
.
The power is the rate at which the electrical force do the work:
.
On the other hand, current
is the charge through a cross-section of the circuit in unit time. By the definition of current:
.
.
Consider Ohm's Law:
.
Therefore
.
Lets x is the number of miles
Car Stars Auto Rental charges $35 a day plus $0.25 per mile = 0.25x + 35
Car Express Auto Rental charges $17 a day plus $0.40 per mile =0.40x + 17
0.25x + 35 = 0.40x + 17
0.25x -0.40x = 17 - 35
-0.15x = -18
x = -18 / -0.15
x = 120
answer: <span>D. 120 miles </span>
If you would like to solve (25 * x^2) / (5 * x) + (8 * x^2) / x.
it would be easy calculate this using the following steps:
(25 * x^2) / (5 * x) + (8 * x^2<span>) / x = 5 * x + 8 * x = 13 * x
</span>
<span>The correct answer would be 13 * x.</span>