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musickatia [10]
3 years ago
7

A help desk with 8 employees takes up to 200 calls per hour. If every employee works 8 hours per day, how many phone calls can e

ach person take in his or her work day?
Mathematics
1 answer:
77julia77 [94]3 years ago
6 0
1 hour   -   200 calls    |multiply  8
8 hours  -  1600 calls

There are 8 employees  so every employee take  1600 : 8 = 200 phone calls daily
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The price of a television is $245. The sales tax rate is 8%. What is the amount of the sales tax?
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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AB=4 and BC=3, Find AH, CH and BH.
IRISSAK [1]

Answer:

  • AH = 3.2
  • CH = 1.8
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Step-by-step explanation:  

It can be convenient to compute the length of the hypotenuse of this triangle (AC). The Pythagorean theorem tells you ...

   AC^2 = AB^2 + CB^2

   AC^2 = 4^2 + 3^2 = 16 + 9 = 25

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The altitude divides ∆ABC into similar triangles ∆AHB and ∆BHC. The scale factor for ∆AHB is ...

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And the scale factor to ∆BHC is ...  

  scale factor ∆ABC to ∆BHC = BC/AC = 3/5 = 0.6  

Then the side AH is 0.8·AB = 0.8·4 = 3.2

And the side CH is 0.6·BC = 0.6·3 = 1.8  

These two side lengths should add to the length AC = 5, and they do.  

The remaining side BH can be found from either scale factor:    

  BH = AB·0.6 = BC·0.8 = 4·0.6 = 3·0.8 = 2.4

_____  

The sides of interest are ...  

  AH = 3.2

  CH = 1.8

  BH = 2.4

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3 years ago
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ELEN [110]

Answer:

(-10,8), (0,-12), (4,-20)

4 0
2 years ago
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