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Ksivusya [100]
3 years ago
15

A box that has a width of 5 inches and a length of 12 inches is used to ship a part. The part lies along the diagonal of the bot

tom of the box. What is the longest possible length of the part?
Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer:

13 inches

Step-by-step explanation:

Draw a square and draw a diagonal line through it. It creates a right triangle. So we can then use the Pythagoras theorem to find the length of the object at it's max. so we do a^2+b^2=c^2. So we do (12*12) + (5*5) = 169 and the square root of 169 is 13.

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A worker on the production line is paid a base salary of ​$230.00 per week plus ​$0.78 for each unit produced. Write an equation
iogann1982 [59]

(a)

We are given

A worker on the production line is paid a base salary of ​$230.00 per week

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Let's assume number pencils produced as x

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now, we can find equation for earnings

E(x)=230+0.78x

now, we are given

her earnings of ​$446.84 for a week when she produced x units

so, we can set E(x)=446.84

and then we can solve for x

446.84=230+0.78x

230\cdot \:100+0.78x\cdot \:100=446.84\cdot \:100

23000+78x=44684

23000+78x-23000=44684-23000

78x=21684

\frac{78x}{78}=\frac{21684}{78}

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(b)

If the worker had produced twice that number of​ units

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now, we can find earnings

E(x)=230+0.78x

now, we can plug x=556

E(556)=230+0.78*556

E(556)=663.68.................Answer


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