Answer:
50.4 square miles
Step-by-step explanation:
Answer:
D) Isosceles
Step-by-step explanation:
An isosceles triangle is the triangle that has 2 sides that are the same.
If the rectangle is scaled by a factor of 2, it means that all of the sides are multiplied by 2. This means the length is changed from 6 to 12, and the width is changed from 2 to 4. The area however, is not 24, but 48, because BOTH the sides doubled.
Answer:
The first box will have 90 marbles, the second 180 and the third 270.
Step-by-step explanation:
Division in a ratio of 1:2:3
1 + 2 + 3 = 6
So
The first box will have 1/6 of the marbles.
The second box will have 2/6 = 1/3 of the marbles
The third box will have 3/6 = 1/2 of the marbles.
First box:
One sixth, so:
(1/6)*540 = 540/6 = 90
Second box:
One third, so:
(1/3)*540 = 540/3 = 180
Third box:
One half, so:
(1/2)*540 = 540/2 = 270
The first box will have 90 marbles, the second 180 and the third 270.
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.
