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valentinak56 [21]
3 years ago
8

Can someone please answer all these please?

Mathematics
1 answer:
frozen [14]3 years ago
4 0
A) $6.136
b) $997.25
c) 25%
d) $254.15
e) 4350
f) $400, 25% loss
g) $200
h) $7,987,50
5
a) 1min: 3min
b) $50:$70
c) $2400
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The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
ss7ja [257]
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
___________________________________________
Answer choice:  [C]:  " 7.2 units" .
___________________________________________
5 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
Sauron [17]

Answer:

\frac{11\sqrt{2}}{2}} or 5.5√2

Step-by-step explanation:

We can see that this is a 45-45-90 triangle

refer to the image below to see what that means

we can see that (in the image) 11=x√2

which means that x= 11/√2

to rationalize this fraction we mulitply both sides by √2 to get

\frac{11\sqrt{2}}{2}} or 5.5√2

3 0
3 years ago
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Find x. and rounddddd
Lerok [7]

Answer:

X=117.9

Step-by-step explanation:

I got itttt

6 0
3 years ago
Write and expression to match the words “three times the sum of 8 and 4”
JulijaS [17]

Answer:

8+4=12

sooo

3x12=36

Step-by-step explanation:

8 0
3 years ago
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Which expression represents 8 less than 3 times a number?<br><br> 3n-8<br> 8-3n<br> 3-8n<br> 3-8
TEA [102]

Answer:

I'm pretty sure its b but I'm not sure I'm sorry if it's wrong

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3 years ago
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