The diagram represents an enlargement of a rectangle by a scale factor of 4.
2 answers:
Answer:
D. 16 inches by 8 inches
Step-by-step explanation:
We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.
Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.
Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.
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Answer:
The distance between the zoo and the library is 400ft
Step-by-step explanation:
Let x be the distance between point G and the zoo
Let y be the distance between the zoo and the library
To solve this problem quickly, we use trigonometric relations
tan(angle) = opposite cathetus / adjacent cathetus
In this case
tan(30) = (200√3) / (x+y)
(x+y) = (200√3)/ tan(30)
(x+y) = 600 ft
For the other angle
tan(60) = (200√3) / (x)
(x) = (200√3)/ tan(60)
x = 200 ft
y = 600 ft - 200 ft = 400 ft
The distance between the zoo and the library is 400ft
