Answer: First option.
Step-by-step explanation:
For this exercise it is importnatn to to remember the properties that are shown below:
1)
2)
Therefore, given the following expression provided in the exercise:
You can apply the properties mentioned before, in order to find an equivalent expression.
Therefore, you get:
Then the answer is the first option.
See my diagram
I'm assuming that your swimming pool is an oval or something like that
remember that the area of an oval is r₁r₂π where r₁ and r₂ are the 2 radii
so
we must do big oval-small oval
the radius is half of the diameter
calculating smalller oval area
it is 32 by 18
those are diameter
halve them
16 by 9
so the area is 16*9*pi or 144pi square feet
big oval area
add 3 feet to each side, so 6 feet total to each dimention
the big oval has diameters of 32+6 and 18+6 or 38 and 24
halve them to find the radii
19 and 12
the area is 19*12*pi or 228pi
so the area that is concrete=228pi-144pi=84pi squaer feet or about 263.89 square feet
M = 1,000
D = 500
C = 100
L = 50
X = 10
V = 5
I = 1
MDCCXLIV
M = 1,000
DCC = 500 + 100 + 100 = 700 (smaller after larger, then adding)
XL = 50 - 10 = 40 (smaller before bigger, then subtraction)
IV = 5 - 1 = 4 (smaller before bigger, then subtraction)
<h3>MDCCXLIV = 1,000 + 700 + 40 + 4 = 1,744</h3>
Answer:
c= 7/3
Step-by-step explanation:
To solve for c:
Simplify the equation by moving all numbers to one side and variables to the other
-9c-4=-25
-9c= -25+4
-9c=-21
Now isolate c by dividing both sides by its coefficient (-9)
c= -21/-9
Since the (-) cancel out, this simplifies to:
c= 21/9
Now reduce the fraction by dividing the right hand side by a common value of 3:
c= 7/3