Answer: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Step-by-step explanation:
The area of any triangle is (1/2) x (length of the base) x (height) .
In this problem, we know the triangle's height,
but what is the length of the base ?
The base is the side that the triangle is sitting on. This particular triangle
is an equilateral one, and its perimeter is 60m. So each side must be 20m.
No matter which side the triangle is sitting on, the length of the base is 20m.
Area = (1/2) x (base) x (height)
Area = (1/2) x (20m) x (17.3m) = <em>173 m²</em>
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
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.
Answer:
When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.
Step-by-step explanation:
Got this from google hope it helps
