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LenaWriter [7]
3 years ago
9

In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

<em>Value of x = 25</em>

Step-by-Step Explanation:

~ Knowing that, in a right triangle ~

sin(40-x)=cos(3x) ⇒

sin(40-x)=sin(90-3x) ⇒

40 - x = 90 - 3x ⇒

40 - x  +3x=90 - 3x  +3x =>

40+2x=90 =>

2x=50 =>

x = 25

<em>Now it is proven to be that,</em>

<em>x = 25</em>

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Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus
Hatshy [7]

Answer:

Jorge was charged for 10 hours that month

Step-by-step explanation:

  Given : Jorge’s monthly bill from his Internet service provider was $25.

Also given :  The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used

We have to find the number of hours that Jorge was charged for that month.

Let the number of hour be x,

Total bill =  base rate + 1 (number of hours used)

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Substitute the values, we get,

⇒ 25 = 15 + 1 (x)

Solving we get,

⇒ 25 - 15 = x

10 = x

Thus, Jorge was charged for 10 hours that month


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