Answer:
Step-by-step explanation:
The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as
Volume = L × W × H
Where
H represents the thickness of the gravel to be added to the driveway.
W represents the width of the driveway.
L represents the length of the driveway.
From the information given,
L = 15 yards
W = 3 yards
H = 6 inches.
36 inches = 1 yard
6 inches = 6/36 = 0.167 yard
Therefore, the volume of gravel required would be
V = 15 × 3 × 0.167 = 7.515 cubic yards
Answer:
The correct option is;
Use a scale factor of 2
Step-by-step explanation:
The parameters given are;
A = (1, -6)
B = (5, -6)
C = (6, -2)
D = (0, -2)
A'' = (1.5, 4)
B'' = (3.5, 4)
C'' = (4, 2)
D'' = ( 1, 2)
We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4
The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2
Which gives;
AB/A''B'' = 4/2 = 2
Similarly;
The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17
The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2
Also we have;
The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6
The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3
For the side DA and D''A'', we have;
The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17
The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2
Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2
The correct option is therefore;
Use a scale factor of 2.
Answer:
81
Step-by-step explanation:
Its a perfect square and 27*3=81
5x - 5 = x + 11
5x = x + 16
4x = 16
x = 4
It is best represented by a plane.
