Answer: 13.5π≈42.41
Step-by-step explanation:
Basically it is asking for the circumference of this cylinder.
#1 Find the circumference of the circle base
Formula to use: 2πr
2πr=2π(1.5)=3π
---------------------------
#2 Find the area of the circle base
Formula to use: πr²
πr²=π(1.5)²=2.25π
--------------------------
#3 Find the area of body of the cylinder
Formula to use: lw
300cm=3m
l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)
w (width)= 3
lw=3π×3m=9π
----------------------------
#4 Add all of them together
There are 2 base and one body
2.25π×2+9π=13.5π
Answer:
<u>Options B and D</u>
Step-by-step explanation:
6x² + x - 1 = 0
6x² + 3x - 2x - 1 = 0
3x(2x + 1) - 1(2x + 1) = 0
(3x - 1)(2x + 1)
x = 1/3 and -1/2
<u>Options B and D</u>
Answer:

Step-by-step explanation:
We are given the function:

And we want to finds its zeros.
Therefore:

Firstly, we can divide everything by -4:

Factor out an x:

This is in quadratic form. For simplicity, we can let:

Then by substitution:

Factor:

Substitute back:

By the Zero Product Property:

Solving for each case:

Therefore, our real and complex zeros are:

I believe the 4th one
an=145+an-1 and a1=20
Before we solve for anything, let's remember what our formula is.
The circumference of a circle is 2PiR (2 x Pi x R).
Our radius is 157.64.
Pi is 3.14 (estimated).
Let's plug our numbers into the formula.
Circumference = 2 x 3.14 x 157.64.
2 x 3.14 = 6.28
6.28 x 157.64 = 989.979 (990 if estimated).
Your circumference is:
989.979 ft^2.
I hope this helps!