Answer:
Perimeter of given regular hexagon is <em>48.5 ft</em>.
Step-by-step explanation:
Let <em>ABCDEF</em> be the regular hexagon as shown in the attached figure.
<em>O</em> be the intersection point of the diagonals <em>EB</em>, <em>FC </em>and <em>AD</em>.
As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.
In other words,
are equilateral 
.
Area of an equilateral 
is defined as
:
Where <em>a </em>is the side of .
Area of hexagon = 
We are given that area of hexagon = 169.74 
Let <em>s </em>be the side of hexagon.
A regular Hexagon is made up of 6 equal sides, so
Perimeter of a regular hexagon = 
Perimeter = 
So, perimeter of given regular hexagon is 
.
Answer:
C
Step-by-step explanation:
The ratio is given as 
= 
in simplest form
However, if we consider each group of 4 X's to 3 O's then the ratio is
→ C
Are you sure you want ONLY the coefficient of b? If you expand this, you will have b in 3 of 4 terms.
According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:
1
1 2 1
1 3 3 1
1 4 6 4 1
So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4
Here, you want (3 + b)^4. Here's what that looks like:
3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]
Which coeff did you want?
To answer the given : <span>5 to the 3 over 4 power, to the 2 over 3 power, we multiply the powers 3/4 and 2/3 equal to 2/4 or 1/2. This is the simplified power of the equation. Hence, the equation is simplified to 5 to the power of 1 over 2. or square root of 5. Answer is C.</span>
Answer:
Electric force = 8.20x10⁻⁸ N
Gravitational force = 3.61x10⁻⁴⁷ N
Step-by-step explanation:
1. The electric force can be found using the following equation:
Where:
K: is the Coulomb's constant = 9x10⁹ N.m²/C²
: is the charge of the proton = 1.6x10⁻¹⁹ C
: is the charge of the electron = -1.6x10⁻¹⁹ C
d: is the distance = 5.3x10⁻¹¹ m
Hence, the magnitude of the electric force is:
2. The gravitational force can be calculated as follows:
Where:
: is the electron's mass = 9.1x10⁻³¹ kg
: is the proton's mass = 1.67x10⁻²⁷ kg
G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²
Therefore, the gravitational force is:
As we can see, the gravitational force is much less than the electric force.
I hope it helps you!
