Given
Area of the regular pentagon is 6.9 cm².
Find out the perimeter of a regular pentagon
To proof
Formula
Area of regular pentagon is

As given in the question
area of regular pentagon = 6.9 cm²
now equating the area value with the area formula.

Now put
√5 = 2.24 ( approx)
put in the above equation

thus
a² = 4.01
a = √ 4.01
a = 2.0 cm ( approx)
As perimeter represented the sum of all sides.
i.e regular pentagon have five sides of equal length.
Thus
perimeter of the regular pentagon = 5 × side length
= 5 ×2.00
therefore the perimeter of the regular pentagon = 10cm
option c is correct
Hence proved
Answer:
a possible solution is (10,1)
Step-by-step explanation:
Here, we want to solve the given inequality and determine one possible solution
From the question, we have it that;
x + y ≤ 13
Mathematically, we have it that 1 dime is worth $0.1
A nickel is worth $0.05
0.1x + 0.05y ≥ 0.95
please check the attachment for the graph of both equations
The point of intersection represents the solution.
we have a point here as (10,1)
Using logarithm, the following equation will apply:
Y = P * [1 + z]^x
Where Y = 2000
P = 100
z = 5% = 0.05
x is the quantity we are calculating for
The equation becomes
2000 = 100 * [1+ 0.05]^x
Dividing both side by 100, we have
20 = 10 * [ 1 + 0.05]^x
Taking the log of both sides, we have
Log 20 = Log [1 + 0.05]^x
log 20 = x * log 1.05
x = log 20/ log 1.05 = 61.40
Thus, it will takes 61.40 minutes for the number of cells in the petri dish to reach 2000.
I feel like I just solved this one. its -1 isn't it?
Answer:No solution
Step-by-step explanation:
|x + 4| = -1
The expression |x + 4| is telling us that regardless the value of x, the expression will always be positive, since we are taking the absolute value of whatever result x+4 provides. We can try x = -1000.
|-1000 + 4|
|-996|
996
There is no value of x that could possibly result in -1 as a solution to |x + 4|