Answer:
4(x-4.5)^2
Step-by-step explanation:
h(x)=4x^2-36x+81
=4(x^2-9x)+81
=4(x^2-9x+20.25)-(4)(20.25)+81
=4(x-4.5)^2
The formula for area in terms of radius is
... A = πr²
Solving this for r, we get
... A/π = r²
... r = √(A/π) . . . . . formula for the radius
For your given area, the radius is approximately
... r = √(401.92/3.14) = √128 = 8√2
... r ≈ 11.3 . . . yards
Answer:
option B
$28.80
Step-by-step explanation:
Given the question,
side length of one square tile = 9 inches
area of square tile = l² = 9² = 81 inches²
<h3>Step1</h3>
There are 48(96) = 4608 carpet tiles, so the company was making 4608($.05) = $230.40.
<h3>Step2 </h3>
Now, the company countered with square feet. We have a total of 4608(81) = 373,248 square inches.
1 square foot = 144 square inches.
373,248/144 = 2592 square ft.
2592($.10) = $259.20
$259.20 - $230.40 = $28.80
Answer:
D
Step-by-step explanation:
You would do D because the other options aren't that random. Randomly choosing employees <em>is</em> a random sample and will give you a valid answer.
Given:
First side(A): 2B - 7
Second side(B): B
Third side(C): B + 4
Plug in values:
A + B + C = 80
2B - 7 + B + B + 4 = 80
If you look at the coefficients only, you can rewrite the equation like this:
2B + B + B - 7 + 4 = 80
This means that 4B - 7 + 4 = 80
=4B - 3 = 80
= 4B = 80 + 3
B = 83/4, so you can either write B as 83/4 or as 20.75.
Checking your work:
A: 2(20.75) - 7 = 34.5
B: 20.75
C: 4 + 20.75 = 24.75
34.5 + 20.75 + 24.75 = 80cm.
Hope this helped.
