1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svetlana [45]
3 years ago
15

Which of the following is equal to the expression below? (160x243)^1/5

Mathematics
1 answer:
Kipish [7]3 years ago
3 0
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of  5)
Answer is D. 6 * (5th root of  5)
You might be interested in
Please help me! i dont know what to do... And my weekend depends on you
ludmilkaskok [199]
2) 5.3
3) -6
4) -6
5) 6
7 0
3 years ago
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
almond37 [142]

Answer:

GG JUJUYTBNHYJKY7UJN HGJNGHGJBTRYDYJYHBGHTDFGBGF

Step-by-step explanation:

7 0
2 years ago
Are step functions one to one?
dlinn [17]

Answer: the function as they change value from one interval to the next

6 0
3 years ago
Write an equation in slope intercept form of the line that passes through the points (2.6) and (-4,-2).
Katena32 [7]
Not sure if this is the right answer but try math-way it helps me a lot.

8 0
3 years ago
Other questions:
  • A bakery sells cakes for $23 and a dozen cupcakes for
    7·1 answer
  • Please help [99 points]
    7·2 answers
  • A 15 ft pole is leaning against a tree. The bottom of the pole is 9 feet away from the bottom of the tree , Approximately how hi
    13·1 answer
  • I think the answer Is A &amp; C, What do you think the answer is, please hurry.
    5·1 answer
  • Help me please and thanks!!!!
    12·1 answer
  • I’m thinking it’s 13? But need someone to clarify if I’m correct!?
    11·1 answer
  • Whats the Approximate volume of the cylinder below in cubic centimeters?? Plz help
    11·1 answer
  • Three consecutive integers have a sum of 72 . Find the integers.
    12·1 answer
  • If a bird flew 30 meters in 10 seconds how far would it fly in 1 second
    11·1 answer
  • Think About the Process At a little-known vacation spot, taxi fares are a bargain. A 28-mile taxi
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!