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3241004551 [841]
3 years ago
10

. (01.02 HC) Javier has a job installing windows. He earns a rate of $75 per day plus $8 per window installed. He also receives

a stipend of $25 for snacks. Javier knows his weekly earnings can be shown with the following expression: 75d + 8w + 25
Part A: Identify a coefficient, a variable, and a constant in this expression.
Part B: If Javier works for 5 days and installs 48 windows, how much does he earn?
Part C: If Javier gets an increase in his stipend and receives $40 for snacks, would the coefficient, variable, or constant in the equation change why?
Mathematics
1 answer:
Anettt [7]3 years ago
6 0
Part A: Coefficient is either the 75 or 8 since it's linked with the Variable(letter) d or w. The only constant is 25
Part B: 75(5)+8(48)+25=$784 Just plug in for the variables.
Part C: Only the constant since it is a set amount and it is not changed based on days or windows installed.
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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:

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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

   AC = √25 = 5  

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 ...  

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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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