Answer:
Option A is correct
3.33 ft wide should the metal piece be.
Step-by-step explanation:
Area of rectangle(A) is given by:
.....[1]
l is the length and w is the width of the rectangle respectively.
As per the statement:
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²
⇒A = 30 ft²
It is also given that the length is 1 less than 3 times the width
⇒
ft
Substitute the given values in [1] we have;

Using distributive property: 
then;

We can write this as:

Factorize this equation:
Split the middle term we have;

⇒
⇒
By zero product property we have;
and w+3 = 0
Since, w cannot be negative;
so,
ft
Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.
Answers:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
1) 
Rewriting the expression:

Multiplying the exponents:

Simplifying:

2) 
Rewriting the expression:

Multiplying the exponents:

Simplifying:

3) 
Rewriting the expression:

Since
:

4) 
Multiplying numerator and denominator by
:

Simplifying:

5) 
Rewriting the expression:

Simplifying:

Since we do not want the square root in the denominator, we can multiply numerator and denominator by
:

Finally:

Answer:
In order to answer this you would need to use this equation: <em>A = πr² </em> (See explanation)
Step-by-step explanation:
So, The circumference of the circle is 65n?
What you need to do is <em>A = πr² </em>
Let's divide 65n by Pi (65/3.14)
That equals 20.70n
Now we have the diameter of the circle. We need the radius for <em>A = πr² .</em>
We need to divide the diameter by two (20.70/2)
We now have the radius of the circle: 10.35n
Now we need to plug 10.35n in our Area equation :<em>A = π10.35² </em>
So now we multiply the Radius by Pi (π * 10.35)
This means that the area of our circle is: A = 32.49
Your answer Is 32.49n