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bonufazy [111]
3 years ago
12

1. Planet Strobe travels one full rotation around its sun in approximately 462.25 days. How many minutes does it take for Strobe

to travel one full rotation around the sun? Show all your work. Make sure to include units in your answer.
Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

665,640 minutes

Step-by-step explanation:

The number of minutes in a day = 24 * 60 = 1440

To travel one full ration takes 462.25 * 1440

= 665,640  minutes

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Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe
9966 [12]
Answer:  117.6° ;  32.4° .
_________________________
Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.   
_____________________
We are given the following:
_______________________
We have a triangle.

Angle 1:  m∡1 = (8x) ;

Angle 2:  m∡2 = (2x + 3) ;

Angle 3:  m∡3 = 30.
______________________________________
We are asked to find:  "m∡1"  and " m∡2" .
______________________________________
Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
________________________________________
   So, " m∡1 + m∡2 + m∡3 = 180 " . 
________________________________________
Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation;  then solve for "x" ;  then substitute that solved value for "x" into the given expressions for BOTH  "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ; 
___________________________________________
 
                m∡1 + m∡2 + m∡3 = 180  ; 
___________________________________________
             8x + (2x + 3) + 30 = 180 ;
___________________________________________
             8x + 2x + 3 + 30 = 180 ;
___________________________________________
  Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
____________________________________________________________
            +8x + 2x = +10x ;
___________________________________________
              +3 + 30 = +33 ; 
___________________________________________
  Rewrite the entire equation, as:
___________________________________________
         10x + 33 = 180 ; 
___________________________________________
 Now, subtract "33" from EACH SIDE of the equation:
___________________________________________
         10x + 33 − 33 = 180 −<span> 33 ;
___________________________________________
 to get:
___________________________________________
         10x    =   147 ;  
____________________________________________
   Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" : 
____________________________________________
         10x / 10 = 147 / 10 ; 
____________________________________________
   to get: 
____________________________________________
              x = 14.7 ;
___________________________________________
    Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m</span>∡1" and "m∡2";  as follows:
________________________________________________

Angle 1:  "(8x)" = 8*(14.7) =  117.6° ; 
________________________________________________
Angle 2:  "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
________________________________________________
These are the two answers; that is the 2 (TWO) values asked for in the question:   117.6° ;  32.4° .
<span>____________________________________</span><span>
 Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m</span>∡3 = 30°); all add up to 180° ?
___________________________________________
Let us check:
_______________________________
   m∡1  +  m∡2  +  m∡3 = 180 ; 
_______________________________
Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
______________________________________________
   → 117.6 + 32.4 + 30 = ? 180 ??
______________________________________________
   → 117.6 + 32.4 = 150  ;   → 150 + 30 =? 180 ?  Yes!
______________________________________________
4 0
3 years ago
Help me with this please I will give you brainlist!
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Answer:

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Step-by-step explanation:

im pretty sure

4 0
2 years ago
Explanation please <br><br>thank you
GrogVix [38]
300 represents the initial value or the value that you started with.
1.15 is the rate that the function increases by over t (time)

8 0
3 years ago
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