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fomenos
3 years ago
12

Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14

inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary. A.104 inches B.146 inches c.154 inches d.168 inches
Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

168/d

Step-by-step explanation:

i did the quiz

vova2212 [387]3 years ago
6 0

For this case, the first thing we must do is find the scale factor.

For this, we use one of the dimensions. We will use the width of the photo.

We have then:

k = \frac {132} {11}\\k = 12

Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.

We have then:

14k = 14 (12) = 168

Answer:

the new height will be:

d.168 inches


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Let
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y-------> the height of the box

we know that
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b=x
h=y
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256=x²*y------>y=256/x²-------->  equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
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surface area=x²+4x*y-----> equation 2
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SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
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the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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MARY

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