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frozen [14]
3 years ago
14

What is the ratio of the length of one legto the length of the other leg

Mathematics
1 answer:
amm18123 years ago
3 0
1:1 is the ratio of the length of one leg to the length of the other leg
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suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al
nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence )   =  90  ft

y ( the shorter side two sides with fence )        =  45  ft

Total fence used   45 * 2  +  90    =  180 ft

A(max)  =  

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side  ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter  =  180  =  2y  +  x        ⇒   y  =  ( 180 - x )  / 2        (1)

And   A (r)   =  x * y

A(x)   =  x  *  ( 180 - x ) /2       ⇒   A(x)   = (180/2) *x   -  x² / 2

Taking derivatives on both sides of the equation :

A´(x)   =  90   -  x    

Then if    A´(x)   =  0   ⇒        90   -  x    =  0     ⇒   x  =  90 ft

and from :       y  =  ( 180 - x )  / 2     ⇒     y  =  90/2

y  =  45  ft

And

A(max)  =  90 * 45    =  4050  ft²

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3 years ago
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\text{Find how much Zelda paid for the visit to the ER:}\\\\\text{We know that her insurance pay's 85\% of the emergency room cost,}\\\text{ so multiply 0.85 from 4089 and subtract}\\\\4089*0.85=3,475.65\\\\4089-3,475.65=613.35\\\\\text{She pays \$613.35 of the emergency room cost}\\\\\text{We're not done yet, we also know she pays a \$100 deductible,}\\\\\text{So add 100 to 613.35}\\\\613.35+100 = 713.35\\\\\boxed{\text{She pays \$713.35}}

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Two angles of a triangle are the same size. The third angle is 12 degrees smaller than the first angle. Find the measure the ang
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Answer:12, 84 and 84

Step-by-step explanation:

since we  know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

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