Answer:
$95.38
Step-by-step explanation:
step 1
Find the area of one button
The area is equal to

we have
---> the radius is half the diameter
Convert to meters

assume

substitute

step 2
Find the area of 1,00 buttons
Multiply by 1,000

step 3
Find the cost
Multiply $15 per square meter by the total area of 1,000 buttons

Question:
Which is equivalent to
after it has been simplified completely?
Answer:

Step-by-step explanation:
Given

Required
Simplify
We start by splitting the square root

Replace 180 with 36 * 5

Further split the square roots


Replace power of x; 11 with 10 + 1

From laws of indices; 
So, we have


Further split the square roots

From laws of indices; 
So, we have



Rearrange Expression


From laws of indices; 
So, we have



<em>The expression can no longer be simplified</em>
Hence,
is equivalent to 
Answer:
A. 
Step-by-step explanation:
Let
be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is
Hence,

is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:

Therefore, the equation of the line is

Answer:
- the pressure will decrease
(volume is doubled ,the pressure reduced by half).
Step-by-step explanation:
P_1 V_1=P_2 V_2
This equation shows that, as volume increases, the pressure of the gas decreases in proportion.
Similarly, as volume decreases, the pressure of the gas increases.
Obtuse, if that’s what you mean.