Length of the walkway that needs to be tiled = 60 feet
Width of the walkway that needs to be tiled = 2 feet.
Then
Area of the walkway that needs to be tiled = Length * Breadth
= 60 * 2 square feet
= 120 square feet
Now
Length of the tiles sold by the local store = 2 feet
Width of the tiles sold by the local store = 2 feet
Area covered by the tiles sold by the local store = 2 * 2 feet
= 4 square feet
Number of tiles in a box = 6
Then
Total area covered by a box of tile = (6 * 2) square feet
= 12 square feet
Then
The number of boxes required by Sean = (120/12)
= 10
So 10 boxes of tiles are needed by Sean and his father.
The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
brainly.com/question/1559324
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Answer:
12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12
Start off by combining like terms on the LHS (the terms with x in them).
So we get
Replacing this result with what we had before on the LHS, we get
⇒Solve for x (divide both sides
)
⇒Don't forget about reciprocity rules when dividing. This is the same as multiplying both sides by
⇒
⇒
***This is a proper fraction
