Answer:
Catron's error is
"She did not follow order of operations"
Step-by-step explanation:
Catron evaluates the expression (negative 9) (2 and two-fifths)
That expression can be written as below
Catron's error is
"She did not follow order of operations"
The corrected steps are
Step1: Given expression is
Step2: Convert mixed fraction into improper fraction
Step3: Multiplying the terms
Therefore solution
A circular pool with a diameter of 18 ft will have a uniform
4 ft concrete walkway poured around it. If the concrete cost $4.25 a square
foot, how much will it cost for the concrete?
This can be solve be solving the area of walkway
Area of walkway is equal to = (pi)( 9 ft +4) ^2– (pi)(9ft)^2
= 276.46 sq ft
Cost = 276.46 sq ft * ($4.25 a square foot) = $1174.70
Answer:
Side WZ=9
Step-by-step explanation:
Since he two are similar you need to make a ratio of the two parallelograms
The first tells you side FE is 2 and side EH is 3 so write it like this 2/3.
Next you need to do the same thing with the second parallelogram, so you know side XW is 6 but you don't know side WZ so you'd write this one 6/x.
You can do this since FE is similar to XW, because it is the same shape just bigger.
Next you take the two fractions adn set them equal to each other.
2 6
_ = _
3 x
Now cross multiply (2 timesx and 6 times 3)
It should look like this now
2x=18
Now all you have to do is divide by 2.
y = x³ + 3x² - x - 3
0 = x³ + 3x² - x - 3
0 = x²(x) + x²(3) - 1(x) - 1(3)
0 = x²(x + 3) - 1(x + 3)
0 = (x² - 1)(x + 3)
0 = (x² + x - x - 1)(x + 3)
0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
0 = (x(x + 1) - 1(x + 1))(x + 3)
0 = (x - 1)(x + 1)(x + 3)
0 = x - 1 or 0 = x + 1 or 0 = x + 3
+ 1 + 1 - 1 - 1 - 3 - 3
1 = x or -1 = x or -3 = x
Solution Set: {-3, -1, 1}
Answer:
volume = 13500 
Step-by-step explanation:
For a given pyramid, its volume can be determined by:
volume of pyramid = 
Where: l is the base length, w is the base width and h id the height of the pyramid.
For the given question, l 30 cm, w = 30 cm and h = 45 cm.
So that,
volume = 
= 
= 13500
volume = 13500
The volume of the pyramid is 13500 .
