140 * 0.15 = 21
15% of 140 is 21
Answer:
QD = 13
Step-by-step explanation:
According to the Centroid theorem of a triangle, the Centroid is ⅔ of the distance from every vertex angle to the midpoint of the side opposite to each of them.
By this we can deduce that:
QD = ⅔(QD + DK)
Substitute
QD = ⅔(QD + 6.5)
Multiply both sides by 3
3*QD = 2(QD + 6.5)
3QD = 2QD + 13
Subtract both sides by 2QD
3QD - 2QD = 13
QD = 13
Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Solve for "y" in each equation:
<em>Equation 1</em>

<em>Equation 2</em>
<em>
</em>
<em> </em>
You can notice that the slope of the <em>Equation 1 </em>is:

And the slope of the <em>Equation 2 </em>is:
Observev that
, then you can conclude that the lines are parallel and the System of equations has No solution.
When there is no solution the classification of the system of equations is: "Inconsistent".
<em> </em>
Answer:
Resister of 0.15 W is to be added.
Step-by-step explanation:
In a given circuit we have the attachments
A power supply of 12 V
High intensity LED with forward voltage = 4.5V
LED is rated to withstand a maximum current of 20 mA or 
We have to calculate the size of a resister to be connected in series.
Here we will apply the Ohm's law for the calculations
Total voltage of the circuit = voltage of LED + voltage across resistance.

r = (12 - 4.5)/20.10^{-3}
r = 7.5×10^{3}/20 = 375 ohm
Therefore power of the resistance = i².r


= 0.15 W
Therefore a resister of 0.15 W is to be added.
Answer:
y = 3x/2 − 5/2
Step-by-step explanation: