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Marianna [84]
3 years ago
12

PLZ HELP ASAP SOLVE SIMILIAR TRIANGLES

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0
<span>By similarity of triangles we have the following relationship:</span><span> </span><span> (y) / (12) = (37.5) / (20)</span><span> </span><span> Rewriting we have:</span>
<span> (y) = ((37.5) / (20)) * (12)</span>
<span>  Simplifying we have:</span>
<span> y = (1,875) * (12)</span>
<span> Then, the value of y is:
</span><span>
</span><span><span> y = 22.5</span></span><span /><span /><span /><span><span> </span></span><span><span> Answer: </span></span><span><span>
</span></span><span><span><span><span> The value of y is:</span></span></span></span><span><span><span><span><span> </span></span></span></span></span><span><span><span><span><span> y = 22.5</span></span>
</span></span></span>
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Answer:

The quality control facility operates for 10 hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

c(t)= -t^2+8t+20

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

c(t)= -t^2+(10t-2t)+20

c(t)= (-t^2+10t)+(-2t+20)

Taking out the common factors from each parenthesis.

c(t)= -t(t-10)-2(t-10)

c(t)= (t-10)(-t-2)

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0=-(t-10)(t+2)

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