If you had values instead of algebraic expressions, you would find the area of the patio and subtract that from the area of the yard. Even though you don't have values, you can still find the area and subtract by expanding and simplifying:
(8x + 2)(6x + 3)
8x × 6x = 48x²
8x × 3 = 24x
2 × 6x = 12x
2 × 3 = 6
So you get 48x² + 36x + 6 as your area of the yard
(x + 5)(3x + 1)
x × 3x = 3x²
x × 1 = x
5 × 3x = 15x
5 × 1 = 5
So the area of the patio is 3x² + 16x + 5
(48x² + 36x + 6) - (3x² + 16x + 5)
48x² - 3x² = 45x²
36x - 16x = 20x
6 - 5 = 1
So your answer is D. 45x² + 20x + 1. I hope this helps!
7 x 
times 14.6 x
<em>Multiply 7 and 14.6 and add exponents</em>
Final Answer 102.2 and
hope that helps :)
Answer:
Step-by-step explanation:
The formula of a surface area of a cube:
The formula of a volume of a cube:
We have
Calculate the edge length (<em>a</em>).
<em>divide both sides by 6</em>
Calculate the volume of a cube:
Answer:
80
Step-by-step explanation:
<u><em>A = Area of First Rectangle </em></u>
<u><em>B = Area of Second Rectangle </em></u>
<u><em>w = Width</em></u>
<u></u>
12(w)=320+B (1st Equation)
8(w) = B (2nd Equation)
w=B/8 <em><u>(Plug this value of w into the first equation)</u></em>
12B/8 = 320 +B <u><em>(you get this)</em></u>
12B= 2560 + 8B <u><em>(Simplify)</em></u>
4B = 2560
B =640 <em><u>plug this value into the 2nd equation</u></em>
8(w) = 640
w = 80
<em>To Test This</em>
12x80 = 960
8x80 = 640
<h3>960 - 640 = 320
<u><em>Therefore the answer is correct the width is 80</em></u></h3>
<h3 />
Perimiter
we have a half circle and 3 sides of a rectangle
half circle
circumfernce=2pir
half of that is 1/2 2pir or pir
so
diameter=8
radius is 1/2 of that or 4
so
that arc is 4pi
the 3 sides are 8+9+9 or 26
if we use pi=3.141592
4pi+26=38.566368
rounded we get
38.57
the closest one is C
answer is C
