The greatest common factor (GCF) of 24, 44, and 52 is: 4
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 44: 1, 2, 4, 11, 22
Factors of 52: 1, 2, 4, 13
The common factors between them are 1, 2, and 4, but 4 is the greatest, making it the GCF.
Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
<h3>What is Ohm's Law?</h3>
Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.
It is expressed as;
V = IR
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
Given that;
Initially, A circuit has a current I = 1.2A
V = IR
R = V/I
R = V/1.2A ...... let this be equation 1
Next, voltage decreases to one-third of its original amount while the resistance remains constant.
Meaning Voltage = 1/3 of V = V/3
Hence;
V = IR
V/3 = IR
From equation 1 ( R = V/1.2A )
V/3 = I × V/1.2A
V/3 = IV/1.2A
We cross multiply
V1.2A = 3IV
I = V1.2A / 3V
I = 1.2A / 3
I = 0.4A
Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
Learn more about potential difference here: brainly.com/question/2364325
#SPJ4
(x, y) = ( cos 45, sin 45) =
![=\text{ (}\frac{\sqrt[]{2}}{2}\text{ , }\frac{\sqrt[]{2}}{2}\text{ )}](https://tex.z-dn.net/?f=%3D%5Ctext%7B%20%28%7D%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%5Ctext%7B%20%2C%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%5Ctext%7B%20%29%7D)
The correct option is A
Firstly arrange data from smaller to greater data point:
4 5 6 9 10 11 12 13 15 16
Secondly find the middle value: In our case the number of data is even, so to get the middle value we have to find the mean (average) between 10 & 11, that is 10.5. So the rank of the Median is10.5
Using the formula for interest:
F = P (1 + r/n)^t
Where:
F = future value
P = Principal value
r = interest rate per year
n = interest period
t = duration
Substituting the given values:
F = 200 (1 + 0.32/12)^1
F = 205.33
To obtain the interest, we subtract the principal value from the future value. This is shown below:
Interest = 205.33 - 200 = 5.33
Among the choices, the answer is A.
