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Sedaia [141]
3 years ago
10

Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R

ound your answer to the nearest hundredth, if necessary.

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

f=\frac{kg}{h}, where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

-7=\frac{k(56)}{-2}

-7\times -2=56k

k=\frac{14}{56}=\frac{1}{4}

The equation now becomes:

f=\frac{g}{4h}

if f=10 and h=-12, then;

10=\frac{g}{-48}

g=-48\times 10=-480

The correct answer is B.

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-- The smallest perimeter you can make with a certain area
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-- The NEXT smallest perimeter with the same area is a square.

   With 1-ft by 1-ft square bricks, the shortest perimeter she could
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Without cutting bricks into pieces, the best she could do would be  

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           Perimeter = (2 x length) + (2 x width)

                             = (2 x 13-ft)  +  (2 x 3-ft) 
                           
                             =      (26-ft)  +  (6-ft)  =  32 feet  <== shortest perimeter.

-- Then, the more UNSQUARE you make it, the more perimeter
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The longest perimeter she can make (without cutting bricks into
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                       =   (2 x 39-ft)  +  (2 x 1-ft)

                       =        (78-ft)  +  (2-ft)     =     80 feet .    

What she'll have then is a brick path, 39 feet long and 1 foot wide,
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7 0
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Answer:

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