Answer: D) 48 inches by 64 inches
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Explanation:
The scale factor is 1/4 = 0.25, meaning that the original preimage is larger and it is reduced to get the image. The reduced width is 12, so the original width is 12/0.25 = 48 inches. The reduced length is 16 making the original to be 16/0.25 = 64.
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note that
48*0.25 = 12
64*0.25 = 16
showing how a 48 by 64 rectangle is reduced to a 12 by 16 rectangle after applying the scale factor to each dimension
Hello there,
Your correct answer would be the following:
1,2,5,6,
Your incorrect answer's would NOT be 3 and 4.
Hope this helps.
~Jurgen
For the fist one 4.2 and the second is 25
Answer:
Width is 3 ft
length is 6 ft
Step-by-step explanation:
Let x = the width
Let 2x = the length
Let h = the height
We know that volume is given v = l×b×h
so we have v = volume ![= x*2x*h](https://tex.z-dn.net/?f=%3D%20x%2A2x%2Ah)
![2x^2*h = 36](https://tex.z-dn.net/?f=2x%5E2%2Ah%20%3D%2036)
![h = \frac{18}{x^2}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B18%7D%7Bx%5E2%7D)
surface area include 2 ends + 1 bottom and 2 sides excluding top
![S.A. = 2(x*h) + 1(2x*x) + 2(2x*h)](https://tex.z-dn.net/?f=S.A.%20%3D%202%28x%2Ah%29%20%2B%201%282x%2Ax%29%20%2B%202%282x%2Ah%29)
![S.A. = 2xh + 2x^2 + 4xh](https://tex.z-dn.net/?f=S.A.%20%3D%202xh%20%2B%202x%5E2%20%2B%204xh)
we have calculate![h = = \frac{18}{x^2}](https://tex.z-dn.net/?f=%20h%20%3D%20%3D%20%5Cfrac%7B18%7D%7Bx%5E2%7D)
![S.A = 2x^2 + 6x \frac{18}{x^2}](https://tex.z-dn.net/?f=S.A%20%3D%202x%5E2%20%2B%206x%20%5Cfrac%7B18%7D%7Bx%5E2%7D%3C%2Fp%3E%3Cp%3E)
![S.A = 2x^2 + \frac{108}{x}](https://tex.z-dn.net/?f=S.A%20%3D%202x%5E2%20%2B%20%5Cfrac%7B108%7D%7Bx%7D)
By graphing above equation we can calculate the value of x
Minimum S.A when x is 3 is the width so
2(3) = 6 is the length
![h = \frac{18}{3^2} = 2](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B18%7D%7B3%5E2%7D%20%3D%202)
Answer:
12
Step-by-step explanation:
1.2*10 = 1.2