Answer: The perimeter is going to increase 25% from the square to the pentagon.
Step-by-step explanation:
- A square is a quadrilateral having its all sides equal.
- A equilateral triangle is a triangle that has equal sides.
Let the side of the given square be x.
Perimeter of square =4x
If a square is changed into a pentagon by building an equilateral triangle on top of it , Then the base of equilateral triangle will occupy the same side-length as that of square.
Thus , the pentagon will become a regular pentagon having all its sides equal.
Perimeter of pentagon = 5(side)= 5x
Increase in perimeter = Perimeter of pentagon- Perimeter of square
= 5x-4x= x
Now , the percent increase in perimeter =
Hence, the perimeter is going to increase 25% from the square to the pentagon.
F: $30.05
172.90-52.71=120.19
120.19/4= 30.048 rounds to $30.05
Hope this helps!
Step-by-step explanation:
<em>NOTE: Bolded letters are vectors</em>
Given that ,
From vector triple product rule,
If these both are equal, then :
⇒b(a.c)-c(a.b) = b(a.c)-a(b.c)
⇒(-a.b)c = (-b.c)a
⇒(|a||b|sin∅)c = (|b||c|sinФ)a (cancel |b| on both sides)
A , C are the unit vectors of a and c respectively .
Two vectors can be equal on when their magnitude and directions are same.
That is when ,
⇒(|a||c|sin∅)A = (|a||c|sinФ)C
⇒sin∅A = sinФC
This can only be possible when the vectors are collinear because the angle made by the vectors with the vector B should be the same or supplementary and the vectors A and C must be in the same direction.
Check your other post. I answered there!