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Fed [463]
4 years ago
7

Evaluate each expression 3/4+2/5

Mathematics
2 answers:
Norma-Jean [14]4 years ago
7 0

Answer: 3/4 ×5 + 2/5 ×4

15/20 + 8/20 = 23/20 = 1 3/20 or 1.15

Step-by-step explanation:

Evgen [1.6K]4 years ago
3 0

Answer: 1 and 3/20

Step-by-step explanation:

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The volume of a cylinder is 1767 cm and its height is 11 cm.
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1778 cm

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8 0
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Reflection across the x-axis
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a redlecrion across the x axis results nvm in a negative x value: -x

7 0
4 years ago
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Solve for x, rounding to the nearest hundredth.
VARVARA [1.3K]

\sf\huge{Answer :-}

\implies\sf{ {2}^{4x} = 78 }  \\ \implies\sf{ ({2}^{4})^{x}  = 78 } \\  \implies\sf{ {16}^{x} = 78 } \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \implies\sf{ x =  log_{16}(78)  } \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \implies\sf{x = 1.5713505547\: } \\\implies\sf{x = 1.57}

5 0
2 years ago
Can someone please help me with this ??
egoroff_w [7]
Answer:  d =  -16 .
_______________________________________________________
Explanation:
____________________________________________________

Given:  0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d  ; Solve for "d" ;
_________________________________________
→ Note the distributive property of multiplication:
____________________________________________
            a (b + c) = ab + ac ;
            a (b − c) = ab − ac ;
________________________________________
As such, we can expand the left-hand side of the question:
______________________________________________
→ 0.2 (d − 6) = (0.2 *d) − (0.2 *6)  = 0.2 d − 1.2; 
________________________________________
And rewrite the entire equation: 
________________________________________
→ 0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d ;
__________________________________________
→ Let us multiply the ENTIRE equation (both sides) by "10"; to get rid of the decimals:
_________________________________________
   → 10 * {0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d} ;
___________________________________________
   →  2d − 12 = 3d + 50 − 30 + 1d ;  
   
→ Combine the "like terms",  +3d , +1d  ; to get 4d; on the 'right-hand side' of the equation ; and rewrite:

 →  2d − 12 = 4d + 50 − 30 ;  

 →  Now add "12"; and subtract "2d" from EACH SIDE of the equation; 

 →  2d − 12 + 12 − 2d= 4d + 50 − 30 + 12 − 2d ;

→  0 = 2d + 32 ;  ↔  2d + 32 = 0 ; 

                           → Subtract "32" from each side of the equation:
_________________________________________________________
          → 2d + 32 − 32 = 0 − 32 ;
    
          → 2d  = - 32
__________________________________
→ Now, divide EACH side of the equation by "2" ; to isolate "d" on ONE side of the equation; and to solve for "d" ;
____________________________________________________
         →   2d / 2  =  - 32 / 2 ; 
_________________________________________
         →         d  =  - 16  ;  which is our answer.
_______________________________________________________ 
     Let us check our answer by plugging this value for "d" in the original equation to see if the equation holds true when "d = -16" ; 
___________________________________________________
               →  0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ;
_______________________________________________
    →  Let us start with the "left-hand side".
_______________________________________
         → 0.2 (d − 6) ;  ↔ 0.2*(-16 − 6) ; ↔ 0.2*(-22) = -4.4.
_____________________________________________
When "d" = -16 in the right-hand side of the equation,
                                                          is the result, "-4.4" ???
_______________________________________________
   →  0.3d + 5 − 3 + 0.1 d = ? -4.4 ???
________________________________________
    →  (0.3 * -16)  + 5 − 3 + (0.1 * -16) =? -4.4???
_____________________________________________
    →  (-4.8) + 5 − 3 + (-1.6)  = ? -4.4????
___________________________________________
   →  (-4.8) + 5 − 3  − (1.6)  = ? -4.4????

→ -4.4 =? -4.4??? Yes!!!
_____________________________________________________
3 0
3 years ago
Have a look of the drawing... What is "d" value? I have tried many methods but don't find how to solve... Pleaseeee
Phoenix [80]
I´d say "d" is the distance from the eye to the wall. 
Now substracting 1.2-1 you´ll get the distance of the wall of the smallest triangle = 0.2 And you do 1.5-0.2= 0.3 that´s the distance of the wall of the other triangle. Then you solve everything with Pitagoras theorem. You have 2 rectangle triangles.
B+alfa=45°
tan^-1(0.2/d)=B
tan^-1(1.3/d)=alfa
THEN:
tan^-1(0.2/d)+tan^-1(1.3/d)=45°
 Now you have 3 ecs and 3 variables.
alfa,B and "d"

3 0
4 years ago
Read 2 more answers
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