Answer:
Base = 126 cm or 60 cm
Step-by-step explanation:
Ratio of sides of isosceles triangle = 4 : 7
Sides are = 4x , 7x
If smallest sides of the isosceles triangle are equal, then
three sides are = 4x , 4x , 7x
Perimeter = 270 cm
4x + 4x + 7x = 270
15x = 270
x = 270/15
x = 18
Base = 7x = 7*18 = 126 cm
If largest sides of the isosceles triangle are equal, then
Three sides are = 7x , 7x , 4x
7x + 7x +4x = 270
18x = 270
x = 270/18
x = 15
Base = 4x = 4 * 15 = 60 cm
Hi there!
The answer is A is irrational, but B is rational.
An irrational number is a number that cannot be written as a fraction.
Expression A.
![\sqrt{64} + \sqrt{5} = 64 + 2.23606...](https://tex.z-dn.net/?f=%20%5Csqrt%7B64%7D%20%2B%20%5Csqrt%7B5%7D%20%3D%2064%20%2B%202.23606...)
This cannot be written as a fraction and therefore the expression is irrational.
Expression B.
![\sqrt{64} + \sqrt{4} = 8 + 2 = 10 = \frac{10}{1}](https://tex.z-dn.net/?f=%20%5Csqrt%7B64%7D%20%2B%20%5Csqrt%7B4%7D%20%3D%208%20%2B%202%20%3D%2010%20%3D%20%5Cfrac%7B10%7D%7B1%7D%20)
This can be written as a fraction and therefore the expression is rational
Your answer:
A is irrational, but B is rational.
~ Hope this helps you!
MarkV
The magnitude of the force per unit length between the wires is
.
<h3>What is the magnitude of the force?</h3>
In a wire carrying a current I 2, the force that each wire feels due to the presence of the other depends on the distance between them and the magnitude of the currents.
Force per unit length = magnetic permeability * (current 1) * (current 2) / (2 π distance between the wires).
The below expression for the force per unit length.
Moreover, before using the below formula we have to change the unit centimeter into a meter. So, we just divide the centimeter by 100.
![\rm \dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7BForce%7D%7Blength%7D%3D%5Cdfrac%7Bu_0%20%5Ctimes%20i%20_1%20%5Ctimes%20i_2%7D%7B2%5Cpi%20d%7D%5C%5C%5C%5C%5Cdfrac%7BForce%7D%7Blength%7D%3D%5Cdfrac%7Bu_0%20%5Ctimes%20i%20_1%20%5Ctimes%20i_2%7D%7B2%5Cpi%20d%7D%5C%5C%5C%5CWhere%3B%20%5C%20%5Cmu_0%20%3D%204%5Cpi%20%5Ctimes%2010%5E%7B-7%7D%20%2C%20i_13%20.%20%5C%20i_2%20%3D%203%20%5C%20%20d%3D0.06)
Substitute all the values in the formula
![\rm\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\\\\ \dfrac{Force}{length}=\dfrac{4\pi \times 10^{-7} \times 3 \times3}{2\pi \times 0.06}\\\\ \dfrac{Force}{length}= 3 \times 10^{-5} N/m](https://tex.z-dn.net/?f=%5Crm%5Cdfrac%7BForce%7D%7Blength%7D%3D%5Cdfrac%7Bu_0%20%5Ctimes%20i%20_1%20%5Ctimes%20i_2%7D%7B2%5Cpi%20d%7D%5C%5C%5C%5CWhere%3B%20%5C%20%5Cmu_0%20%3D%204%5Cpi%20%5Ctimes%2010%5E%7B-7%7D%20%2C%20i_13%20.%20%5C%20i_2%20%3D%203%20%5C%20%20d%3D0.06%5C%5C%5C%5C%20%5Cdfrac%7BForce%7D%7Blength%7D%3D%5Cdfrac%7B4%5Cpi%20%20%5Ctimes%2010%5E%7B-7%7D%20%5Ctimes%20%203%20%5Ctimes3%7D%7B2%5Cpi%20%5Ctimes%200.06%7D%5C%5C%5C%5C%20%20%5Cdfrac%7BForce%7D%7Blength%7D%3D%203%20%5Ctimes%2010%5E%7B-5%7D%20N%2Fm)
Hence, the magnitude of the force per unit length between the wires is
.
Learn more about force here;
brainly.com/question/17035283
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Answer:
yes
Step-by-step explanation: