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Setler [38]
3 years ago
10

wheelchair ramps for access to public buildings are allowed a maximum of one inch of vertical increase for every one foot of hor

izontal distance. Would a ramp that is 10 feet long and 8 inches tall meet this guideline?
Mathematics
1 answer:
AveGali [126]3 years ago
6 0
Length x width = area
<span>but
1feet=12</span><span>inches
</span>8 x 12=96
10<span>x96=960</span>
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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

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see the attached figure

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Quation that show an estimate of 7,203+299
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