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olya-2409 [2.1K]
4 years ago
15

A handyman knows from experience that his 29-foot ladder rests in its most stable position when the distance of its base from a

wall is 1 foot farther than the height it reaches up the wall.
Mathematics
2 answers:
Reika [66]4 years ago
7 0

The answer is a2+b2=c21 foot29 feet12+292=c2842−−−√=c The unknown length (which I'm assuming is the length against the wall) is 29.02 feet.

Leya [2.2K]4 years ago
3 0
<span><span>a2</span>+<span>b2</span>=<span>c2</span></span> <span>1 foot29 feet</span> <span><span>12</span>+<span>292</span>=<span>c2</span></span> <span><span>842<span>−−−</span>√</span>=c</span><span> The unknown length (which I'm assuming is the length against the wall) is 29.02 feet.</span>
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If triangle STR ~ triangle PTQ, find QT
lana [24]

Answer:

QT = 45

Step-by-step explanation:

ST = 65

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Given that ∆STR is similar to ∆PTQ, therefore:

\frac{ST}{PT} = \frac{RT}{QT}

Plug in the values

\frac{65}{65 - 26} = \frac{30 + (4x - 3)}{4x - 3}

Solve for x

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Cross multiply

5(4x - 3) = 3(27 + 4x)

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Collect like terms

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Divide both sides by 8

x = \frac{96}{8}

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Plug in the value of x

QT = 4(12) - 3 = 48 - 3

QT = 45

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3 years ago
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I can try to answer.

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1. 23

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Marat540 [252]

Answer:

  see the attachments

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I suggested to you on a different occasion that by using tracing paper or tissue paper, you could make a copy of the image that you could move in the desired way to find its new location.

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The second attachment shows the tissue flopped over and the origin and line of reflection aligned with their previous locations. The new location of the figure is fairly obvious.

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<em>Comment on "the work"</em>

I only have a badly focused image of your original worksheet to work from, but even that is sufficient to illustrate the process and the result. It took longer to make and edit the photos than to do the drawing necessary to find the answer.

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